MAYBE Initial complexity problem: 1: T: (?, 1) f2(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f2(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) f75(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f15(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) f75(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f15(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) f10(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f15(a, b, c, d, 0, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) [ a >= c ] (?, 1) f15(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f24(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) [ d >= a ] (?, 1) f15(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f24(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) f15(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f15(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) f15(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f15(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) f24(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f75(a, b, c, c, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) [ c = d ] (?, 1) f24(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f28(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) f24(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f28(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) f28(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f32(a, b, c, d, e, f, g, h, i, j, v, w, m, n, o, p, q, r, s, t, u) [ 29 >= j ] (?, 1) f28(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f32(a, b, c, d, e, f, g, h, i, j, v, w, m, n, o, p, q, r, s, t, u) [ j >= 31 ] (?, 1) f28(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f32(a, b, c, d, e, f, g, h, i, 30, v, w, m, n, o, p, q, r, s, t, u) [ j = 30 ] (?, 1) f32(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 - w + x, l, z, z, 1, 1, 0, r, s, t, u) [ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f32(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 - w + x, l, m, -z, 1, 1, 0, z, s, t, u) [ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 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, p*v, o*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) -> f60(a, b, c, d, e, f, g, h, i, j, v - o*w, x, m, n, z, y, h1, r, b1*p, o*w, u) [ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f60(a, b, c, d, e, f, g, h, i, j, v - o*w, x, m, n, z, y, h1, r, b1*p, o*w, u) [ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f60(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f60(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) -> f75(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) -> f75(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) -> f75(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) -> f75(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) f75(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f10(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) f60(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) f10(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f1(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) f2(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) -> f10(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) -> f2(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, o, p, u]. We thus obtain the following problem: 2: T: (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) (?, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ] (?, 1) f10(a, b, c, d, e, j, k, l, o, p, u) -> f1(a, b, c, d, e, j, k, l, o, p, u) [ c >= a + 1 ] (?, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\ l = 0 ] (?, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ] (?, 1) f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ] (?, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, 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, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) (?, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ] (?, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\ l = 0 ] (?, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ] (?, 1) f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ] (?, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] start location: start leaf cost: 1 A polynomial rank function with Pol(start) = 1 Pol(f2) = 1 Pol(f10) = -31 Pol(f60) = -31 Pol(f42) = -31 Pol(f75) = -31 Pol(f68) = -31 Pol(f32) = -31 Pol(f28) = -31 Pol(f24) = -31 Pol(f15) = -31 orients all transitions weakly and the transition f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ] strictly and produces the following problem: 4: T: (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) (1, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ] (?, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\ l = 0 ] (?, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ] (?, 1) f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ] (?, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] start location: start leaf cost: 1 A polynomial rank function with Pol(start) = 2*V_1 - 2*V_11 + 1 Pol(f2) = 2*V_1 - 2*V_11 + 1 Pol(f10) = 2*V_1 - 2*V_11 + 1 Pol(f60) = 2*V_1 - 2*V_11 + 1 Pol(f42) = 2*V_1 - 2*V_11 + 1 Pol(f75) = 2*V_1 - 2*V_11 + 1 Pol(f68) = 2*V_1 - 2*V_11 + 1 Pol(f32) = 2*V_1 - 2*V_11 + 1 Pol(f28) = 2*V_1 - 2*V_11 + 1 Pol(f24) = 2*V_1 - 2*V_11 + 1 Pol(f15) = 2*V_1 - 2*V_11 + 1 orients all transitions weakly and the transition f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ] strictly and produces the following problem: 5: T: (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) (1, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ] (?, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\ l = 0 ] (2*a + 2*u + 1, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ] (?, 1) f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ] (?, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] start location: start leaf cost: 1 A polynomial rank function with Pol(start) = 4*V_1 - 4*V_3 + 1 Pol(f2) = 4*V_1 - 4*V_3 + 1 Pol(f10) = 4*V_1 - 4*V_3 + 1 Pol(f60) = 4*V_1 - 4*V_3 - 2 Pol(f42) = 4*V_1 - 4*V_3 - 2 Pol(f75) = 4*V_1 - 4*V_3 - 2 Pol(f68) = 4*V_1 - 4*V_3 - 2 Pol(f32) = 4*V_1 - 4*V_3 - 2 Pol(f28) = 4*V_1 - 4*V_3 - 2 Pol(f24) = 4*V_1 - 4*V_3 - 2 Pol(f15) = 4*V_1 - 4*V_3 - 2 orients all transitions weakly and the transition f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ] strictly and produces the following problem: 6: T: (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) (1, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ] (?, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\ l = 0 ] (2*a + 2*u + 1, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ] (4*a + 4*c + 1, 1) f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ] (?, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] start location: start leaf cost: 1 A polynomial rank function with Pol(f75) = 1 Pol(f15) = 1 Pol(f10) = 0 Pol(f68) = 1 Pol(f60) = 1 Pol(f42) = 1 Pol(f32) = 1 Pol(f28) = 1 Pol(f24) = 1 Pol(f2) = 0 and size complexities S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-0) = a S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-1) = ? S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-2) = c S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-3) = d S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-4) = e S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-5) = j S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-6) = k S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-7) = l S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-8) = o S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-9) = p S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-10) = u S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ]", 0-0) = a S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ]", 0-1) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ]", 0-2) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ]", 0-3) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ]", 0-4) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ]", 0-5) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ]", 0-6) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ]", 0-7) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ]", 0-8) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ]", 0-9) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ]", 0-0) = a S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ]", 0-1) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ]", 0-2) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ]", 0-3) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ]", 0-4) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ]", 0-5) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ]", 0-6) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ]", 0-7) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ]", 0-8) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ]", 0-9) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ]", 0-10) = 3*a + 3*u + 9 S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-0) = a S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-1) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-2) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-3) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-4) = 0 S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-5) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-6) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-7) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-8) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-9) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-10) = 3*a + 3*u + 9 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ]", 0-0) = a S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ]", 0-1) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ]", 0-2) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ]", 0-3) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ]", 0-4) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ]", 0-5) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ]", 0-6) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ]", 0-7) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ]", 0-8) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ]", 0-9) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ]", 0-10) = 3*a + 3*u + 9 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ]", 0-0) = a S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ]", 0-1) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ]", 0-2) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ]", 0-3) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ]", 0-4) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ]", 0-5) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ]", 0-6) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ]", 0-7) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ]", 0-8) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ]", 0-9) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-0) = a S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-1) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-2) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-3) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-4) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-5) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-6) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-7) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-8) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-9) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\\ a >= d + 1 ]", 0-0) = a S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\\ a >= d + 1 ]", 0-1) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\\ a >= d + 1 ]", 0-2) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\\ a >= d + 1 ]", 0-3) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\\ a >= d + 1 ]", 0-4) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\\ a >= d + 1 ]", 0-5) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\\ a >= d + 1 ]", 0-6) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\\ a >= d + 1 ]", 0-7) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\\ a >= d + 1 ]", 0-8) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\\ a >= d + 1 ]", 0-9) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\\ a >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ]", 0-0) = a S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ]", 0-1) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ]", 0-2) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ]", 0-3) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ]", 0-4) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ]", 0-5) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ]", 0-6) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ]", 0-7) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ]", 0-8) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ]", 0-9) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ]", 0-10) = 3*a + 3*u + 9 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ]", 0-0) = a S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ]", 0-1) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ]", 0-2) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ]", 0-3) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ]", 0-4) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ]", 0-5) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ]", 0-6) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ]", 0-7) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ]", 0-8) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ]", 0-9) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ]", 0-0) = a S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ]", 0-1) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ]", 0-2) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ]", 0-3) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ]", 0-4) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ]", 0-5) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ]", 0-6) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ]", 0-7) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ]", 0-8) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ]", 0-9) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ]", 0-10) = 3*a + 3*u + 9 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ]", 0-0) = a S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ]", 0-1) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ]", 0-2) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ]", 0-3) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ]", 0-4) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ]", 0-5) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ]", 0-6) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ]", 0-7) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ]", 0-8) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ]", 0-9) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ]", 0-10) = 3*a + 3*u + 9 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ]", 0-0) = a S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ]", 0-1) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ]", 0-2) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ]", 0-3) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ]", 0-4) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ]", 0-5) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ]", 0-6) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ]", 0-7) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ]", 0-8) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ]", 0-9) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ]", 0-10) = 3*a + 3*u + 9 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ]", 0-0) = a S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ]", 0-1) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ]", 0-2) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ]", 0-3) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ]", 0-4) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ]", 0-5) = 30 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ]", 0-6) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ]", 0-7) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ]", 0-8) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ]", 0-9) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ]", 0-10) = 3*a + 3*u + 9 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-0) = a S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-1) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-2) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-3) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-4) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-5) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-6) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-7) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-8) = 1 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-9) = 1 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-10) = 3*a + 3*u + 9 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-0) = a S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-1) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-2) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-3) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-4) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-5) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-6) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-7) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-8) = 1 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-9) = 1 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-10) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ]", 0-1) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ]", 0-2) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ]", 0-3) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ]", 0-8) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ]", 0-9) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ]", 0-10) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ]", 0-1) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ]", 0-2) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ]", 0-3) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ]", 0-7) = 0 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ]", 0-8) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ]", 0-9) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ]", 0-10) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-1) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-2) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-3) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-8) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-9) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-10) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-1) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-2) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-3) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-8) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-9) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-10) = 3*a + 3*u + 9 S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ]", 0-0) = a S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ]", 0-1) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ]", 0-2) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ]", 0-3) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ]", 0-4) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ]", 0-5) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ]", 0-6) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ]", 0-7) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ]", 0-8) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ]", 0-9) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ]", 0-10) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\\ l = 0 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\\ l = 0 ]", 0-1) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\\ l = 0 ]", 0-2) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\\ l = 0 ]", 0-3) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\\ l = 0 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\\ l = 0 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\\ l = 0 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\\ l = 0 ]", 0-7) = 0 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\\ l = 0 ]", 0-8) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\\ l = 0 ]", 0-9) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\\ l = 0 ]", 0-10) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ]", 0-1) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ]", 0-2) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ]", 0-3) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ]", 0-7) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ]", 0-8) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ]", 0-9) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ]", 0-10) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ]", 0-1) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ]", 0-2) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ]", 0-3) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ]", 0-7) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ]", 0-8) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ]", 0-9) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ]", 0-10) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\\ l = 0 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\\ l = 0 ]", 0-1) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\\ l = 0 ]", 0-2) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\\ l = 0 ]", 0-3) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\\ l = 0 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\\ l = 0 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\\ l = 0 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\\ l = 0 ]", 0-7) = 0 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\\ l = 0 ]", 0-8) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\\ l = 0 ]", 0-9) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\\ l = 0 ]", 0-10) = 3*a + 3*u + 9 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ]", 0-0) = a S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ]", 0-1) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ]", 0-2) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ]", 0-3) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ]", 0-4) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ]", 0-5) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ]", 0-6) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ]", 0-7) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ]", 0-8) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ]", 0-9) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ]", 0-10) = 3*a + 3*u + 9 S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ]", 0-0) = a S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ]", 0-1) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ]", 0-2) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ]", 0-3) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ]", 0-4) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ]", 0-5) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ]", 0-6) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ]", 0-7) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ]", 0-8) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ]", 0-9) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ]", 0-10) = 3*a + 3*u + 9 S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-0) = a S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-1) = ? S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-2) = c S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-3) = d S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-4) = e S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-5) = j S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-6) = k S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-7) = l S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-8) = o S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-9) = p S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-10) = u S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-0) = a S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-1) = b S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-2) = c S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-3) = d S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-4) = e S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-5) = j S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-6) = k S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-7) = l S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-8) = o S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-9) = p S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-10) = u orients the transitions f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ] f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ] f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ] f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ] f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ] f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\ l = 0 ] f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\ l = 0 ] f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ] f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ] f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ] f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ] f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ] f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ] f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ] f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ] f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ] f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ] f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ] f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\ a >= d + 1 ] f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\ a >= d + 1 ] weakly and the transition f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ] strictly and produces the following problem: 7: T: (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) (1, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ] (?, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ] (6*a + 2*u + 4*c + 2, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\ l = 0 ] (2*a + 2*u + 1, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ] (4*a + 4*c + 1, 1) f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ] (?, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] start location: start leaf cost: 1 A polynomial rank function with Pol(start) = 2*V_1 - 2*V_4 - 1 Pol(f2) = 2*V_1 - 2*V_4 - 1 Pol(f10) = 2*V_1 - 2*V_4 - 1 Pol(f60) = 2*V_1 - 2*V_4 - 1 Pol(f42) = 2*V_1 - 2*V_4 - 1 Pol(f75) = 2*V_1 - 2*V_4 - 1 Pol(f68) = 2*V_1 - 2*V_4 - 1 Pol(f32) = 2*V_1 - 2*V_4 - 1 Pol(f28) = 2*V_1 - 2*V_4 - 1 Pol(f24) = 2*V_1 - 2*V_4 - 1 Pol(f15) = 2*V_1 - 2*V_4 - 1 orients all transitions weakly and the transitions f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\ a >= d + 1 ] f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\ a >= d + 1 ] strictly and produces the following problem: 8: T: (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) (1, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ] (?, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ] (6*a + 2*u + 4*c + 2, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\ l = 0 ] (2*a + 2*u + 1, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ] (4*a + 4*c + 1, 1) f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ] (?, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] start location: start leaf cost: 1 A polynomial rank function with Pol(f75) = 2*V_1 + 2*V_3 + 2*V_4 + V_11 - 1 Pol(f15) = 2*V_1 + 2*V_3 + 2*V_4 + V_11 - 1 Pol(f68) = 2*V_1 + 2*V_3 + 2*V_4 + V_11 - 1 Pol(f60) = 2*V_1 + 2*V_3 + 2*V_4 + V_11 - 1 Pol(f42) = 2*V_1 + 2*V_3 + 2*V_4 + V_11 - 1 Pol(f32) = 2*V_1 + 2*V_3 + 2*V_4 + V_11 - 1 Pol(f28) = 2*V_1 + 2*V_3 + 2*V_4 + V_11 - 1 Pol(f24) = 2*V_1 + 2*V_3 + 2*V_4 + V_11 - 1 Pol(f2) = V_1 - V_2 + 1 and size complexities S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-0) = a S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-1) = ? S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-2) = c S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-3) = d S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-4) = e S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-5) = j S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-6) = k S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-7) = l S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-8) = o S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-9) = p S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-10) = u S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ]", 0-0) = a S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ]", 0-1) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ]", 0-4) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ]", 0-5) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ]", 0-6) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ]", 0-7) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ]", 0-8) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ]", 0-9) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ]", 0-0) = a S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ]", 0-1) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ]", 0-4) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ]", 0-5) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ]", 0-6) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ]", 0-7) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ]", 0-8) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ]", 0-9) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ]", 0-10) = 3*a + 3*u + 9 S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-0) = a S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-1) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-3) = 7*a + 7*c + 7*d + 7*u + 4802 S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-4) = 0 S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-5) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-6) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-7) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-8) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-9) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-10) = 3*a + 3*u + 9 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ]", 0-0) = a S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ]", 0-1) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ]", 0-4) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ]", 0-5) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ]", 0-6) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ]", 0-7) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ]", 0-8) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ]", 0-9) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ]", 0-10) = 3*a + 3*u + 9 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ]", 0-0) = a S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ]", 0-1) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ]", 0-4) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ]", 0-5) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ]", 0-6) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ]", 0-7) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ]", 0-8) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ]", 0-9) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-0) = a S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-1) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-4) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-5) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-6) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-7) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-8) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-9) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\\ a >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\\ a >= d + 1 ]", 0-0) = a S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\\ a >= d + 1 ]", 0-1) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\\ a >= d + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\\ a >= d + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\\ a >= d + 1 ]", 0-4) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\\ a >= d + 1 ]", 0-5) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\\ a >= d + 1 ]", 0-6) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\\ a >= d + 1 ]", 0-7) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\\ a >= d + 1 ]", 0-8) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\\ a >= d + 1 ]", 0-9) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\\ a >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ]", 0-0) = a S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ]", 0-1) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ]", 0-3) = 7*a + 7*c + 7*u + 686 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ]", 0-4) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ]", 0-5) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ]", 0-6) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ]", 0-7) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ]", 0-8) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ]", 0-9) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ]", 0-10) = 3*a + 3*u + 9 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ]", 0-0) = a S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ]", 0-1) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ]", 0-4) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ]", 0-5) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ]", 0-6) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ]", 0-7) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ]", 0-8) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ]", 0-9) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ]", 0-0) = a S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ]", 0-1) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ]", 0-4) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ]", 0-5) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ]", 0-6) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ]", 0-7) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ]", 0-8) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ]", 0-9) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ]", 0-10) = 3*a + 3*u + 9 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ]", 0-0) = a S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ]", 0-1) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ]", 0-4) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ]", 0-5) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ]", 0-6) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ]", 0-7) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ]", 0-8) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ]", 0-9) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ]", 0-10) = 3*a + 3*u + 9 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ]", 0-0) = a S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ]", 0-1) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ]", 0-4) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ]", 0-5) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ]", 0-6) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ]", 0-7) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ]", 0-8) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ]", 0-9) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ]", 0-10) = 3*a + 3*u + 9 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ]", 0-0) = a S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ]", 0-1) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ]", 0-4) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ]", 0-5) = 30 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ]", 0-6) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ]", 0-7) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ]", 0-8) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ]", 0-9) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ]", 0-10) = 3*a + 3*u + 9 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-0) = a S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-1) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-4) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-5) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-6) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-7) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-8) = 1 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-9) = 1 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-10) = 3*a + 3*u + 9 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-0) = a S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-1) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-4) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-5) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-6) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-7) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-8) = 1 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-9) = 1 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-10) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ]", 0-1) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ]", 0-8) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ]", 0-9) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ]", 0-10) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ]", 0-1) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ]", 0-7) = 0 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ]", 0-8) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ]", 0-9) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ]", 0-10) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-1) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-8) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-9) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-10) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-1) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-8) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-9) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-10) = 3*a + 3*u + 9 S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ]", 0-0) = a S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ]", 0-1) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ]", 0-4) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ]", 0-5) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ]", 0-6) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ]", 0-7) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ]", 0-8) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ]", 0-9) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ]", 0-10) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\\ l = 0 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\\ l = 0 ]", 0-1) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\\ l = 0 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\\ l = 0 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\\ l = 0 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\\ l = 0 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\\ l = 0 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\\ l = 0 ]", 0-7) = 0 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\\ l = 0 ]", 0-8) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\\ l = 0 ]", 0-9) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\\ l = 0 ]", 0-10) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ]", 0-1) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ]", 0-7) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ]", 0-8) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ]", 0-9) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ]", 0-10) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ]", 0-1) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ]", 0-7) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ]", 0-8) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ]", 0-9) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ]", 0-10) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\\ l = 0 ]", 0-0) = a S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\\ l = 0 ]", 0-1) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\\ l = 0 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\\ l = 0 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\\ l = 0 ]", 0-4) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\\ l = 0 ]", 0-5) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\\ l = 0 ]", 0-6) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\\ l = 0 ]", 0-7) = 0 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\\ l = 0 ]", 0-8) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\\ l = 0 ]", 0-9) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\\ l = 0 ]", 0-10) = 3*a + 3*u + 9 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ]", 0-0) = a S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ]", 0-1) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ]", 0-3) = 7*a + 7*c + 7*u + 686 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ]", 0-4) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ]", 0-5) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ]", 0-6) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ]", 0-7) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ]", 0-8) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ]", 0-9) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ]", 0-10) = 3*a + 3*u + 9 S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ]", 0-0) = a S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ]", 0-1) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ]", 0-4) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ]", 0-5) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ]", 0-6) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ]", 0-7) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ]", 0-8) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ]", 0-9) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ]", 0-10) = 3*a + 3*u + 9 S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-0) = a S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-1) = ? S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-2) = c S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-3) = d S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-4) = e S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-5) = j S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-6) = k S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-7) = l S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-8) = o S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-9) = p S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-10) = u S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-0) = a S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-1) = b S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-2) = c S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-3) = d S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-4) = e S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-5) = j S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-6) = k S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-7) = l S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-8) = o S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-9) = p S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-10) = u orients the transitions f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ] f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ] f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ] f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ] f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\ l = 0 ] f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\ l = 0 ] f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ] f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ] f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ] f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ] f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ] f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ] f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ] f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ] f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ] f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ] f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ] weakly and the transition f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] strictly and produces the following problem: 9: T: (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) (1, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ] (?, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, u) [ u >= a + 1 ] (6*a + 2*u + 4*c + 2, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ c = d ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ c >= b + 1 /\ l = 0 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ l >= 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ 0 >= l + 1 ] (?, 1) f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c /\ l = 0 ] (2*a + 2*u + 1, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, u + 1) [ a >= u ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ b >= c ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ c >= b + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ j = 30 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ 29 >= j ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ d >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ c >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ c = d ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ d >= a ] (4*a + 4*c + 1, 1) f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ d >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ c >= d + 1 ] (378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + b + 112*c^2 + 200*c*d + 88*d^2 + 509917, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] start location: start leaf cost: 1 Applied AI with 'oct' on problem 9 to obtain the following invariants: For symbol f15: X_5 >= 0 /\ X_1 - X_3 >= 0 For symbol f24: X_5 >= 0 /\ X_1 - X_3 >= 0 For symbol f28: 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 f32: 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 f60: 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 f75: X_5 >= 0 /\ X_1 - X_3 >= 0 This yielded the following problem: 10: T: (378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + b + 112*c^2 + 200*c*d + 88*d^2 + 509917, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (4*a + 4*c + 1, 1) f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (2*a + 2*u + 1, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 ] (6*a + 2*u + 4*c + 2, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (?, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ] (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) start location: start leaf cost: 1 A polynomial rank function with Pol(f75) = 2*V_2 - 2*V_3 + 2 Pol(f15) = 2*V_2 - 2*V_3 + 2 Pol(f10) = 2*V_2 - 2*V_3 + 3 Pol(f24) = 2*V_2 - 2*V_3 + 2 Pol(f28) = 2*V_2 - 2*V_3 + 2 Pol(f32) = 2*V_2 - 2*V_3 + 2 Pol(f42) = 2*V_2 - 2*V_3 + 2 Pol(f68) = 2*V_2 - 2*V_3 + 2 Pol(f60) = 2*V_2 - 2*V_3 + 1 and size complexities S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-0) = a S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-1) = b S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-2) = c S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-3) = d S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-4) = e S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-5) = j S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-6) = k S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-7) = l S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-8) = o S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-9) = p S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-10) = u S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-0) = a S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-1) = 2*b + 378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + 112*c^2 + 200*c*d + 88*d^2 + 509917 S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-2) = c S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-3) = d S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-4) = e S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-5) = j S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-6) = k S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-7) = l S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-8) = o S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-9) = p S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-10) = u S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) = 7*a + 7*c + 7*u + 98 S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) = 11*a + 11*c + 11*d + 11*u + 83248 S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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 ]", 0-9) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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 ]", 0-10) = 3*a + 3*u + 9 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-0) = a S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-1) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-3) = 7*a + 7*c + 7*u + 686 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-4) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-5) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-6) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-7) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-8) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-9) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-10) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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) = 7*a + 7*c + 7*u + 98 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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) = 11*a + 11*c + 11*d + 11*u + 83248 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 ]", 0-9) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 ]", 0-10) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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) = 7*a + 7*c + 7*u + 98 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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) = 11*a + 11*c + 11*d + 11*u + 83248 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-9) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-10) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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) = 7*a + 7*c + 7*u + 98 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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) = 11*a + 11*c + 11*d + 11*u + 83248 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-9) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-10) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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) = 7*a + 7*c + 7*u + 98 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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) = 11*a + 11*c + 11*d + 11*u + 83248 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 ]", 0-9) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 ]", 0-10) = 3*a + 3*u + 9 S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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) = 7*a + 7*c + 7*u + 98 S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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) = 11*a + 11*c + 11*d + 11*u + 83248 S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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 ]", 0-9) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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 ]", 0-10) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-1) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-8) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-9) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-10) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-1) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-8) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-9) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-10) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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) = 7*a + 7*c + 7*u + 98 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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) = 11*a + 11*c + 11*d + 11*u + 83248 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-9) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-10) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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) = 7*a + 7*c + 7*u + 98 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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) = 11*a + 11*c + 11*d + 11*u + 83248 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-9) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-10) = 3*a + 3*u + 9 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-0) = a S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-1) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-4) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-5) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-6) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-7) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-8) = 1 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-9) = 1 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-10) = 3*a + 3*u + 9 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-0) = a S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-1) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-4) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-5) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-6) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-7) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-8) = 1 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-9) = 1 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-10) = 3*a + 3*u + 9 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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) = 7*a + 7*c + 7*u + 98 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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) = 11*a + 11*c + 11*d + 11*u + 83248 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-9) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-10) = 3*a + 3*u + 9 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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) = 7*a + 7*c + 7*u + 98 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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) = 11*a + 11*c + 11*d + 11*u + 83248 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-9) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-10) = 3*a + 3*u + 9 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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) = 7*a + 7*c + 7*u + 98 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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) = 11*a + 11*c + 11*d + 11*u + 83248 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-9) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-10) = 3*a + 3*u + 9 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-0) = a S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-1) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-4) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-5) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-6) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-7) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-8) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-9) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-10) = 3*a + 3*u + 9 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-0) = a S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-1) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-4) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-5) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-6) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-7) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-8) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-9) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-0) = a S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-1) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-3) = 7*a + 7*c + 7*u + 686 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-4) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-5) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-6) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-7) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-8) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-9) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-10) = 3*a + 3*u + 9 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-0) = a S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-1) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-4) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-5) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-6) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-7) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-8) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-9) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-0) = a S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-1) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-4) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-5) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-6) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-7) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-8) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-9) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-0) = a S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-1) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-4) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-5) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-6) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-7) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-8) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-9) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-0) = a S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-1) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-4) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-5) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-6) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-7) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-8) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-9) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-10) = 3*a + 3*u + 9 S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-0) = a S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-1) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-3) = 7*a + 7*c + 7*d + 7*u + 4802 S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-4) = 0 S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-5) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-6) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-7) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-8) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-9) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-10) = 3*a + 3*u + 9 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-0) = a S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-1) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-4) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-5) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-6) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-7) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-8) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-9) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-10) = 3*a + 3*u + 9 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-0) = a S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-1) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-4) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-5) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-6) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-7) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-8) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-9) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-0) = a S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-1) = 2*b + 378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + 112*c^2 + 200*c*d + 88*d^2 + 509917 S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-2) = c S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-3) = d S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-4) = e S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-5) = j S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-6) = k S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-7) = l S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-8) = o S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-9) = p S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-10) = u orients the transitions f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ] f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a ] f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 ] f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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 f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] strictly and produces the following problem: 11: T: (378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + b + 112*c^2 + 200*c*d + 88*d^2 + 509917, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (4*a + 4*c + 1, 1) f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (2*a + 2*u + 1, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 ] (6*a + 2*u + 4*c + 2, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ] (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) start location: start leaf cost: 1 A polynomial rank function with Pol(f75) = 1 Pol(f15) = 1 Pol(f68) = 1 Pol(f42) = 1 Pol(f60) = 0 Pol(f32) = 1 Pol(f28) = 1 Pol(f24) = 1 and size complexities S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-0) = a S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-1) = b S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-2) = c S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-3) = d S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-4) = e S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-5) = j S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-6) = k S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-7) = l S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-8) = o S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-9) = p S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-10) = u S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-0) = a S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-1) = 2*b + 378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + 112*c^2 + 200*c*d + 88*d^2 + 509917 S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-2) = c S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-3) = d S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-4) = e S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-5) = j S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-6) = k S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-7) = l S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-8) = o S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-9) = p S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-10) = u S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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 + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) = 7*a + 7*c + 7*u + 98 S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) = 11*a + 11*c + 11*d + 11*u + 83248 S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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 ]", 0-9) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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 ]", 0-10) = 3*a + 3*u + 9 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-0) = a S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-3) = 7*a + 7*c + 7*u + 686 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-4) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-5) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-6) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-7) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-8) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-9) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-10) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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) = 7*a + 7*c + 7*u + 98 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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) = 11*a + 11*c + 11*d + 11*u + 83248 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 ]", 0-9) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 ]", 0-10) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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 + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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) = 7*a + 7*c + 7*u + 98 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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) = 11*a + 11*c + 11*d + 11*u + 83248 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-9) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-10) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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 + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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) = 7*a + 7*c + 7*u + 98 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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) = 11*a + 11*c + 11*d + 11*u + 83248 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-9) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-10) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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) = 7*a + 7*c + 7*u + 98 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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) = 11*a + 11*c + 11*d + 11*u + 83248 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 ]", 0-9) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 ]", 0-10) = 3*a + 3*u + 9 S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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 + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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) = 7*a + 7*c + 7*u + 98 S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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) = 11*a + 11*c + 11*d + 11*u + 83248 S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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 ]", 0-9) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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 ]", 0-10) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-8) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-9) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-10) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-8) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-9) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-10) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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 + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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) = 7*a + 7*c + 7*u + 98 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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) = 11*a + 11*c + 11*d + 11*u + 83248 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-9) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-10) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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 + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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) = 7*a + 7*c + 7*u + 98 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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) = 11*a + 11*c + 11*d + 11*u + 83248 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-9) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-10) = 3*a + 3*u + 9 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-0) = a S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-4) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-5) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-6) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-7) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-8) = 1 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-9) = 1 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-10) = 3*a + 3*u + 9 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-0) = a S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-4) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-5) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-6) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-7) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-8) = 1 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-9) = 1 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-10) = 3*a + 3*u + 9 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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 + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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) = 7*a + 7*c + 7*u + 98 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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) = 11*a + 11*c + 11*d + 11*u + 83248 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-9) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-10) = 3*a + 3*u + 9 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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 + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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) = 7*a + 7*c + 7*u + 98 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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) = 11*a + 11*c + 11*d + 11*u + 83248 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-9) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-10) = 3*a + 3*u + 9 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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 + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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) = 7*a + 7*c + 7*u + 98 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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) = 11*a + 11*c + 11*d + 11*u + 83248 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-9) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-10) = 3*a + 3*u + 9 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-0) = a S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-4) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-5) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-6) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-7) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-8) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-9) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-10) = 3*a + 3*u + 9 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-0) = a S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-4) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-5) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-6) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-7) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-8) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-9) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-0) = a S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-3) = 7*a + 7*c + 7*u + 686 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-4) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-5) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-6) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-7) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-8) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-9) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-10) = 3*a + 3*u + 9 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-0) = a S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-4) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-5) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-6) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-7) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-8) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-9) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-0) = a S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-4) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-5) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-6) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-7) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-8) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-9) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-0) = a S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-4) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-5) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-6) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-7) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-8) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-9) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-0) = a S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-4) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-5) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-6) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-7) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-8) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-9) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-10) = 3*a + 3*u + 9 S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-0) = a S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-3) = 7*a + 7*c + 7*d + 7*u + 4802 S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-4) = 0 S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-5) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-6) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-7) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-8) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-9) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-10) = 3*a + 3*u + 9 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-0) = a S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-4) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-5) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-6) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-7) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-8) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-9) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-10) = 3*a + 3*u + 9 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-0) = a S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-2) = 7*a + 7*c + 7*u + 98 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-3) = 11*a + 11*c + 11*d + 11*u + 83248 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-4) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-5) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-6) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-7) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-8) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-9) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-0) = a S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-1) = 2*b + 378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + 112*c^2 + 200*c*d + 88*d^2 + 509917 S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-2) = c S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-3) = d S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-4) = e S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-5) = j S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-6) = k S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-7) = l S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-8) = o S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-9) = p S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-10) = u orients the transitions f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a ] f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] weakly and the transition f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] strictly and produces the following problem: 12: T: (378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + b + 112*c^2 + 200*c*d + 88*d^2 + 509917, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (4*a + 4*c + 1, 1) f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (2*a + 2*u + 1, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 ] (6*a + 2*u + 4*c + 2, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ] (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) start location: start leaf cost: 1 By chaining the transition f24(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, c, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] with all transitions in problem 12, the following new transition is obtained: f24(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c ] We thus obtain the following problem: 13: T: (?, 2) f24(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c ] (378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + b + 112*c^2 + 200*c*d + 88*d^2 + 509917, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (4*a + 4*c + 1, 1) f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (2*a + 2*u + 1, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 ] (6*a + 2*u + 4*c + 2, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ] (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) start location: start leaf cost: 1 A polynomial rank function with Pol(f75) = 1 Pol(f15) = 1 Pol(f68) = 1 Pol(f42) = 1 Pol(f32) = 1 Pol(f28) = 1 Pol(f24) = 1 Pol(f10) = 0 and size complexities S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-0) = a S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-1) = b S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-2) = c S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-3) = d S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-4) = e S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-5) = j S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-6) = k S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-7) = l S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-8) = o S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-9) = p S("start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u)", 0-10) = u S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-0) = a S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-1) = 2*b + 378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + 112*c^2 + 200*c*d + 88*d^2 + 509917 S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-2) = c S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-3) = d S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-4) = e S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-5) = j S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-6) = k S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-7) = l S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-8) = o S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-9) = p S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ]", 0-10) = u S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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 + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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 ]", 0-9) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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 ]", 0-10) = 3*a + 3*u + 9 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-0) = a S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-2) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-3) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-4) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-5) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-6) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-7) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-8) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-9) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d ]", 0-10) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 ]", 0-9) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 ]", 0-10) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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 + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-9) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ l >= 1 ]", 0-10) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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 + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-9) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 0 >= l + 1 ]", 0-10) = 3*a + 3*u + 9 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 ]", 0-9) = ? S("f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 ]", 0-10) = 3*a + 3*u + 9 S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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 + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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 ]", 0-9) = ? S("f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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 ]", 0-10) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-2) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-3) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-8) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-9) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ a1 >= 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-10) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-0) = a S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-2) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-3) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-4) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-5) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-6) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-7) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-8) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-9) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ k*x >= a1*v*x /\\ a1*v*x + v >= k*x + 1 /\\ 0 >= a1 + 1 /\\ b >= c /\\ b1*p >= a1*c1 /\\ a1*c1 + c1 >= b1*p + 1 /\\ c1 >= y /\\ b1*p >= a1*d1 /\\ a1*d1 + d1 >= b1*p + 1 /\\ y >= d1 /\\ k >= a1*e1 /\\ a1*e1 + e1 >= k + 1 /\\ e1 >= z /\\ k >= a1*f1 /\\ a1*f1 + f1 >= k + 1 /\\ z >= f1 /\\ b1*p*x >= a1*g1*x /\\ a1*g1*x + g1 >= b1*p*x + 1 /\\ g1 >= h1 /\\ b1*p*x >= a1*i1*x /\\ a1*i1*x + i1 >= b1*p*x + 1 /\\ h1 >= i1 ]", 0-10) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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 + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-9) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ b >= c ]", 0-10) = 3*a + 3*u + 9 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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 + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-9) = ? S("f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ c >= b + 1 ]", 0-10) = 3*a + 3*u + 9 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-0) = a S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-2) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-3) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-4) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-5) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-6) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-7) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-8) = 1 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-9) = 1 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y + x*z >= k*x /\\ k*x + x >= x*z + y + 1 /\\ 0 >= k + 1 ]", 0-10) = 3*a + 3*u + 9 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-0) = a S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-2) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-3) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-4) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-5) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-6) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-7) = ? S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-8) = 1 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-9) = 1 S("f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ y >= k*x + x*z /\\ k*x + x*z + x >= y + 1 /\\ k >= 0 ]", 0-10) = 3*a + 3*u + 9 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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 + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, 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) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-9) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j = 30 ]", 0-10) = 3*a + 3*u + 9 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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 + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-9) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ j >= 31 ]", 0-10) = 3*a + 3*u + 9 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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 + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-9) = ? S("f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\\ j >= 0 /\\ e + j - 1 >= 0 /\\ -e + j + 1 >= 0 /\\ e - 1 >= 0 /\\ a - c >= 0 /\\ 29 >= j ]", 0-10) = 3*a + 3*u + 9 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-0) = a S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-2) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-3) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-4) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-5) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-6) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-7) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-8) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-9) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-10) = 3*a + 3*u + 9 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-0) = a S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-2) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-3) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-4) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-5) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-6) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-7) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-8) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-9) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-0) = a S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-2) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-3) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-4) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-5) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-6) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-7) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-8) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-9) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ x >= 1 /\\ a >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-0) = a S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-2) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-3) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-4) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-5) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-6) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-7) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-8) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-9) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ 0 >= x + 1 /\\ a >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-0) = a S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-2) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-3) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-4) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-5) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-6) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-7) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-8) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-9) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ a >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-0) = a S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-2) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-3) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-4) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-5) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-6) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-7) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-8) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-9) = ? S("f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= a ]", 0-10) = 3*a + 3*u + 9 S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-0) = a S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-2) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-3) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-4) = 0 S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-5) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-6) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-7) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-8) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-9) = ? S("f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ]", 0-10) = 3*a + 3*u + 9 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-0) = a S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-2) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-3) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-4) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-5) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-6) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-7) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-8) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-9) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ d >= c + 1 ]", 0-10) = 3*a + 3*u + 9 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-0) = a S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-2) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-3) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-4) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-5) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-6) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-7) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-8) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-9) = ? S("f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c >= d + 1 ]", 0-10) = 3*a + 3*u + 9 S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-0) = a S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-1) = 2*b + 378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + 112*c^2 + 200*c*d + 88*d^2 + 509917 S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-2) = c S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-3) = d S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-4) = e S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-5) = j S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-6) = k S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-7) = l S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-8) = o S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-9) = p S("f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ]", 0-10) = u S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d /\\ c = c ]", 0-0) = a S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d /\\ c = c ]", 0-1) = 6*b + 1134*a^2 + 1320*a*u + 1380*a*c + 588*c*u + 234*u^2 + 1056*a*d + 600*d*u + 3118827*a + 118130*c + 1000656*u + 2000664*d + 336*c^2 + 600*c*d + 264*d^2 + 1529754 S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d /\\ c = c ]", 0-2) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d /\\ c = c ]", 0-3) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d /\\ c = c ]", 0-4) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d /\\ c = c ]", 0-5) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d /\\ c = c ]", 0-6) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d /\\ c = c ]", 0-7) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d /\\ c = c ]", 0-8) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d /\\ c = c ]", 0-9) = ? S("f24(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\\ a - c >= 0 /\\ c = d /\\ c = c ]", 0-10) = 3*a + 3*u + 9 orients the transitions f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] f68(a, b, c, d, e, j, k, l, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ b >= c ] f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] f24(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c ] f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a ] f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] weakly and the transition f24(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c ] strictly and produces the following problem: 14: T: (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 2) f24(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c ] (378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + b + 112*c^2 + 200*c*d + 88*d^2 + 509917, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (4*a + 4*c + 1, 1) f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (2*a + 2*u + 1, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 ] (6*a + 2*u + 4*c + 2, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ] (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) start location: start leaf cost: 1 By chaining the transition f24(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c ] with all transitions in problem 14, the following new transition is obtained: f24(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] We thus obtain the following problem: 15: T: (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f24(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + b + 112*c^2 + 200*c*d + 88*d^2 + 509917, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (4*a + 4*c + 1, 1) f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (2*a + 2*u + 1, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 ] (6*a + 2*u + 4*c + 2, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ] (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) start location: start leaf cost: 1 By chaining the transition f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a ] with all transitions in problem 15, the following new transition is obtained: f15(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] We thus obtain the following problem: 16: T: (?, 2) f15(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f24(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + b + 112*c^2 + 200*c*d + 88*d^2 + 509917, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (4*a + 4*c + 1, 1) f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (2*a + 2*u + 1, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 ] (6*a + 2*u + 4*c + 2, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ] (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) start location: start leaf cost: 1 By chaining the transition f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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) f15(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f24(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + b + 112*c^2 + 200*c*d + 88*d^2 + 509917, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (4*a + 4*c + 1, 1) f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ 29 >= j ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (2*a + 2*u + 1, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 ] (6*a + 2*u + 4*c + 2, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ] (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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: (6*a + 2*u + 4*c + 2, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f24(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f15(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (4*a + 4*c + 1, 1) f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ] (1, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ] (378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + b + 112*c^2 + 200*c*d + 88*d^2 + 509917, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) start location: start leaf cost: 1 By chaining the transition f75(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c + 1, c, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d ] with all transitions in problem 18, the following new transition is obtained: f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] We thus obtain the following problem: 19: T: (6*a + 2*u + 4*c + 2, 2) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f24(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f15(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (4*a + 4*c + 1, 1) f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ] (1, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ] (378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + b + 112*c^2 + 200*c*d + 88*d^2 + 509917, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) start location: start leaf cost: 1 By chaining the transition f2(a, b, c, d, e, j, k, l, o, p, u) -> f10(a, b, c, d, e, j, k, l, o, p, u) [ b >= a + 1 ] with all transitions in problem 19, the following new transition is obtained: f2(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ b >= a + 1 /\ a >= c ] We thus obtain the following problem: 20: T: (1, 2) f2(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ b >= a + 1 /\ a >= c ] (6*a + 2*u + 4*c + 2, 2) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f24(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f15(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (4*a + 4*c + 1, 1) f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ] (378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + b + 112*c^2 + 200*c*d + 88*d^2 + 509917, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) start location: start leaf cost: 1 Testing for reachability in the complexity graph removes the following transition from problem 20: f10(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ a >= c ] We thus obtain the following problem: 21: T: (6*a + 2*u + 4*c + 2, 2) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f24(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f15(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (1, 2) f2(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ b >= a + 1 /\ a >= c ] (378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + b + 112*c^2 + 200*c*d + 88*d^2 + 509917, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) start location: start leaf cost: 1 By chaining the transition f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] with all transitions in problem 21, the following new transitions are obtained: f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ u >= a + 1 ] f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u ] We thus obtain the following problem: 22: T: (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 2) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ u >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 2) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u ] (6*a + 2*u + 4*c + 2, 2) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f24(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f15(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (1, 2) f2(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ b >= a + 1 /\ a >= c ] (378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + b + 112*c^2 + 200*c*d + 88*d^2 + 509917, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) start location: start leaf cost: 1 By chaining the transition f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ u + 1 >= a + 1 ] f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 2) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 ] We thus obtain the following problem: 23: T: (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ u + 1 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 2) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 2) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ u >= a + 1 ] (6*a + 2*u + 4*c + 2, 2) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f24(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f15(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (1, 2) f2(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ b >= a + 1 /\ a >= c ] (378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + b + 112*c^2 + 200*c*d + 88*d^2 + 509917, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) start location: start leaf cost: 1 By chaining the transition f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 2) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 2) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ u + 2 >= a + 1 ] f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 3) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 ] We thus obtain the following problem: 24: T: (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 4) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 2) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ u + 2 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 4) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 3) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ u + 1 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 2) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ u >= a + 1 ] (6*a + 2*u + 4*c + 2, 2) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f24(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f15(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (1, 2) f2(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ b >= a + 1 /\ a >= c ] (378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + b + 112*c^2 + 200*c*d + 88*d^2 + 509917, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) start location: start leaf cost: 1 By chaining the transition f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 3) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 3) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ u + 3 >= a + 1 ] f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 4) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 ] We thus obtain the following problem: 25: T: (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 5) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 3) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ u + 3 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 5) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 4) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 4) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 2) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ u + 2 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ u + 1 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 2) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ u >= a + 1 ] (6*a + 2*u + 4*c + 2, 2) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f24(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f15(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (1, 2) f2(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ b >= a + 1 /\ a >= c ] (378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + b + 112*c^2 + 200*c*d + 88*d^2 + 509917, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) start location: start leaf cost: 1 By chaining the transition f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 4) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 4) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 5) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 6) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 4) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ u + 4 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 6) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 5) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 5) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 3) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ u + 3 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 4) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 2) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ u + 2 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ u + 1 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 2) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ u >= a + 1 ] (6*a + 2*u + 4*c + 2, 2) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f24(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f15(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (1, 2) f2(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ b >= a + 1 /\ a >= c ] (378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + b + 112*c^2 + 200*c*d + 88*d^2 + 509917, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) start location: start leaf cost: 1 By chaining the transition f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 5) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 5) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 6) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 7) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 5) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ u + 5 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 7) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 6) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ a >= u + 5 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 6) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 4) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ u + 4 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 5) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 3) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ u + 3 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 4) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 2) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ u + 2 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ u + 1 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 2) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ u >= a + 1 ] (6*a + 2*u + 4*c + 2, 2) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f24(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f15(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (1, 2) f2(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ b >= a + 1 /\ a >= c ] (378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + b + 112*c^2 + 200*c*d + 88*d^2 + 509917, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) start location: start leaf cost: 1 By chaining the transition f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 6) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 6) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 7) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 8) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 6) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 8) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 7) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 7) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 5) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ u + 5 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 6) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 4) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ u + 4 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 5) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 3) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ u + 3 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 4) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 2) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ u + 2 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ u + 1 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 2) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ u >= a + 1 ] (6*a + 2*u + 4*c + 2, 2) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f24(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f15(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (1, 2) f2(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ b >= a + 1 /\ a >= c ] (378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + b + 112*c^2 + 200*c*d + 88*d^2 + 509917, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) start location: start leaf cost: 1 By chaining the transition f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 7) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 7) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 8) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 9) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 7) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 9) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 8) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 8) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 6) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 7) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 5) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ u + 5 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 6) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 4) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ u + 4 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 5) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 3) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ u + 3 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 4) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 2) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ u + 2 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ u + 1 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 2) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ u >= a + 1 ] (6*a + 2*u + 4*c + 2, 2) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f24(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f15(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (1, 2) f2(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ b >= a + 1 /\ a >= c ] (378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + b + 112*c^2 + 200*c*d + 88*d^2 + 509917, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) start location: start leaf cost: 1 By chaining the transition f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 8) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 8) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 9) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 10) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 8) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 10) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u + 9) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 9) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 7) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 8) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 6) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 7) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 5) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ a >= u + 4 /\ u + 5 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 6) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 4) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ a >= u + 3 /\ u + 4 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 5) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 3) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ a >= u + 2 /\ u + 3 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 4) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 2) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ a >= u + 1 /\ u + 2 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u + 1) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ a >= u /\ u + 1 >= a + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 2) f42(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ a1 >= 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 /\ b - c >= 0 /\ u >= a + 1 ] (6*a + 2*u + 4*c + 2, 2) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ a >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f75(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (4*b + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f60(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b - 1, c, d, e, j, k, l, o, p, 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) f60(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, l, o, p, 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, o, p, u) -> f75(a, b, c, d, e, j, k, 0, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079218*a + 78754*c + 667104*u + 1333776*d + 224*c^2 + 400*c*d + 176*d^2 + 1019837, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f60(a, b, c, d, e, j, v - o*w, x, z, y, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ k*x >= a1*v*x /\ a1*v*x + v >= k*x + 1 /\ 0 >= a1 + 1 /\ b >= c /\ b1*p >= a1*c1 /\ a1*c1 + c1 >= b1*p + 1 /\ c1 >= y /\ b1*p >= a1*d1 /\ a1*d1 + d1 >= b1*p + 1 /\ y >= d1 /\ k >= a1*e1 /\ a1*e1 + e1 >= k + 1 /\ e1 >= z /\ k >= a1*f1 /\ a1*f1 + f1 >= k + 1 /\ z >= f1 /\ b1*p*x >= a1*g1*x /\ a1*g1*x + g1 >= b1*p*x + 1 /\ g1 >= h1 /\ b1*p*x >= a1*i1*x /\ a1*i1*x + i1 >= b1*p*x + 1 /\ h1 >= i1 ] (?, 1) f42(a, b, c, d, e, j, k, l, o, p, u) -> f68(a, b, c, d, e, j, k, l, o, p, 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) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y + x*z >= k*x /\ k*x + x >= x*z + y + 1 /\ 0 >= k + 1 ] (?, 1) f32(a, b, c, d, e, j, k, l, o, p, u) -> f42(a, b, c, d, e, j, v - w + x, l, 1, 1, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ y >= k*x + x*z /\ k*x + x*z + x >= y + 1 /\ k >= 0 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, 30, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j = 30 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, u) [ e - j - 1 >= 0 /\ j >= 0 /\ e + j - 1 >= 0 /\ -e + j + 1 >= 0 /\ e - 1 >= 0 /\ a - c >= 0 /\ j >= 31 ] (?, 1) f28(a, b, c, d, e, j, k, l, o, p, u) -> f32(a, b, c, d, e, j, v, w, o, p, 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 + 756*a^2 + 880*a*u + 920*a*c + 392*c*u + 156*u^2 + 704*a*d + 400*d*u + 2079226*a + 78758*c + 667104*u + 1333780*d + 224*c^2 + 400*c*d + 176*d^2 + 1019840, 3) f24(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c + 1, c, 0, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c = d /\ c = c /\ a >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= c + 1 ] (?, 1) f24(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ c >= d + 1 ] (?, 2) f15(a, b, c, d, e, j, k, l, o, p, u) -> f28(a, b, c, d, e + 1, e, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ d >= a /\ d >= c + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ x >= 1 /\ a >= d + 1 ] (2*a + 2*d + 1, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d + 1, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ 0 >= x + 1 /\ a >= d + 1 ] (?, 1) f15(a, b, c, d, e, j, k, l, o, p, u) -> f24(a, b, c, d, e, j, k, l, o, p, u) [ e >= 0 /\ a - c >= 0 /\ a >= d + 1 ] (1, 2) f2(a, b, c, d, e, j, k, l, o, p, u) -> f15(a, b, c, d, 0, j, k, l, o, p, u) [ b >= a + 1 /\ a >= c ] (378*a^2 + 440*a*u + 460*a*c + 196*c*u + 78*u^2 + 352*a*d + 200*d*u + 1039609*a + 39376*c + 333552*u + 666888*d + b + 112*c^2 + 200*c*d + 88*d^2 + 509917, 1) f2(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b + 1, c, d, e, j, k, l, o, p, u) [ a >= b ] (1, 1) start(a, b, c, d, e, j, k, l, o, p, u) -> f2(a, b, c, d, e, j, k, l, o, p, u) start location: start leaf cost: 1 Complexity upper bound ? Time: 17.803 sec (SMT: 11.411 sec)