YES(?, 163873) Initial complexity problem: 1: T: (?, 1) f16(a, b, c, d, e, f, g, h, i, j) -> f19(a, 0, c, d, e, f, g, h, i, j) [ 19 >= a ] (?, 1) f33(a, b, c, d, e, f, g, h, i, j) -> f36(a, b, c, 0, e, f, g, h, i, j) [ 19 >= c ] (?, 1) f52(a, b, c, d, e, f, g, h, i, j) -> f55(a, b, c, d, e, 0, g, h, i, j) [ 19 >= e ] (?, 1) f55(a, b, c, d, e, f, g, h, i, j) -> f59(a, b, c, d, e, f, 0, h, i, j) [ 19 >= f ] (?, 1) f59(a, b, c, d, e, f, g, h, i, j) -> f59(a, b, c, d, e, f, g + 1, h, i, j) [ 19 >= g ] (?, 1) f59(a, b, c, d, e, f, g, h, i, j) -> f55(a, b, c, d, e, f + 1, g, h, i, j) [ g >= 20 ] (?, 1) f55(a, b, c, d, e, f, g, h, i, j) -> f52(a, b, c, d, e + 1, f, g, h, i, j) [ f >= 20 ] (?, 1) f52(a, b, c, d, e, f, g, h, i, j) -> f73(a, b, c, d, e, f, g, h, i, j) [ e >= 20 ] (?, 1) f36(a, b, c, d, e, f, g, h, i, j) -> f36(a, b, c, d + 1, e, f, g, k, k, j) [ 19 >= d ] (?, 1) f36(a, b, c, d, e, f, g, h, i, j) -> f33(a, b, c + 1, d, e, f, g, h, i, j) [ d >= 20 ] (?, 1) f33(a, b, c, d, e, f, g, h, i, j) -> f52(a, b, c, d, 0, f, g, h, i, j) [ c >= 20 ] (?, 1) f19(a, b, c, d, e, f, g, h, i, j) -> f19(a, b + 1, c, d, e, f, g, k, i, k) [ 19 >= b ] (?, 1) f19(a, b, c, d, e, f, g, h, i, j) -> f16(a + 1, b, c, d, e, f, g, h, i, j) [ b >= 20 ] (?, 1) f16(a, b, c, d, e, f, g, h, i, j) -> f33(a, b, 0, d, e, f, g, h, i, j) [ a >= 20 ] (1, 1) f0(a, b, c, d, e, f, g, h, i, j) -> f16(0, b, c, d, e, f, g, 0, i, j) start location: f0 leaf cost: 0 Slicing away variables that do not contribute to conditions from problem 1 leaves variables [a, b, c, d, e, f, g]. We thus obtain the following problem: 2: T: (1, 1) f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g) (?, 1) f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ] (?, 1) f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ] (?, 1) f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ] (?, 1) f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ] (?, 1) f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ] (?, 1) f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ] (?, 1) f52(a, b, c, d, e, f, g) -> f73(a, b, c, d, e, f, g) [ e >= 20 ] (?, 1) f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ] (?, 1) f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ] (?, 1) f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ] (?, 1) f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ] (?, 1) f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ] (?, 1) f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ] (?, 1) f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ] start location: f0 leaf cost: 0 Repeatedly removing leaves of the complexity graph in problem 2 produces the following problem: 3: T: (1, 1) f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g) (?, 1) f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ] (?, 1) f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ] (?, 1) f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ] (?, 1) f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ] (?, 1) f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ] (?, 1) f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ] (?, 1) f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ] (?, 1) f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ] (?, 1) f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ] (?, 1) f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ] (?, 1) f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ] (?, 1) f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ] (?, 1) f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ] start location: f0 leaf cost: 1 A polynomial rank function with Pol(f0) = 1 Pol(f16) = 1 Pol(f33) = -40 Pol(f19) = 1 Pol(f52) = -41 Pol(f36) = -40 Pol(f55) = -41 Pol(f59) = -41 orients all transitions weakly and the transition f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ] strictly and produces the following problem: 4: T: (1, 1) f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g) (1, 1) f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ] (?, 1) f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ] (?, 1) f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ] (?, 1) f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ] (?, 1) f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ] (?, 1) f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ] (?, 1) f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ] (?, 1) f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ] (?, 1) f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ] (?, 1) f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ] (?, 1) f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ] (?, 1) f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ] (?, 1) f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ] start location: f0 leaf cost: 1 A polynomial rank function with Pol(f0) = 1 Pol(f16) = 1 Pol(f33) = 1 Pol(f19) = 1 Pol(f52) = -20 Pol(f36) = 1 Pol(f55) = -20 Pol(f59) = -20 orients all transitions weakly and the transition f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ] strictly and produces the following problem: 5: T: (1, 1) f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g) (1, 1) f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ] (?, 1) f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ] (?, 1) f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ] (1, 1) f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ] (?, 1) f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ] (?, 1) f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ] (?, 1) f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ] (?, 1) f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ] (?, 1) f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ] (?, 1) f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ] (?, 1) f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ] (?, 1) f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ] (?, 1) f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ] start location: f0 leaf cost: 1 A polynomial rank function with Pol(f0) = 39 Pol(f16) = -2*V_1 + 39 Pol(f33) = -2*V_1 - 2*V_3 + 39 Pol(f19) = -2*V_1 + 38 Pol(f52) = -2*V_1 - 2*V_3 - 2*V_5 - 19 Pol(f36) = -2*V_1 - 2*V_3 + 38 Pol(f55) = -2*V_1 - 2*V_3 - 2*V_5 - 20 Pol(f59) = -2*V_1 - 2*V_3 - 2*V_5 - 20 orients all transitions weakly and the transition f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ] strictly and produces the following problem: 6: T: (1, 1) f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g) (1, 1) f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ] (?, 1) f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ] (?, 1) f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ] (1, 1) f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ] (?, 1) f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ] (?, 1) f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ] (?, 1) f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ] (?, 1) f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ] (?, 1) f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ] (?, 1) f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ] (?, 1) f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ] (?, 1) f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ] (39, 1) f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ] start location: f0 leaf cost: 1 A polynomial rank function with Pol(f59) = -20 Pol(f55) = -20 Pol(f52) = -20 Pol(f36) = -20 Pol(f33) = -20 Pol(f19) = 19 Pol(f16) = 18 and size complexities S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-0) = ? S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-1) = 0 S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-2) = c S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-3) = d S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-4) = e S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-5) = f S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-6) = g S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-0) = ? S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-1) = 20 S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-2) = ? S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-3) = 0 S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-4) = e S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-5) = f S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-6) = g S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-0) = ? S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-1) = 20 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-2) = ? S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-3) = 20 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-4) = ? S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-5) = 0 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-6) = g + 20 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-0) = ? S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-1) = 20 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-2) = ? S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-3) = 20 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-4) = ? S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-5) = ? S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-6) = 0 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-0) = ? S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-1) = 20 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-2) = ? S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-3) = 20 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-4) = ? S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-5) = ? S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-6) = 20 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-0) = ? S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-1) = 20 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-2) = ? S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-3) = 20 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-4) = ? S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-5) = ? S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-6) = 20 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-0) = ? S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-1) = 20 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-2) = ? S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-3) = 20 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-4) = ? S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-5) = ? S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-6) = 20 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-0) = ? S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-1) = 20 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-2) = ? S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-3) = 20 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-4) = e S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-5) = f S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-6) = g S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-0) = ? S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-1) = 20 S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-2) = ? S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-3) = 20 S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-4) = e S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-5) = f S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-6) = g S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-0) = ? S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-1) = 20 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-2) = ? S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-3) = 20 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-4) = 0 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-5) = f S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-6) = g S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-0) = ? S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-1) = 20 S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-2) = c S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-3) = d S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-4) = e S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-5) = f S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-6) = g S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-0) = ? S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-1) = 20 S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-2) = c S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-3) = d S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-4) = e S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-5) = f S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-6) = g S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-0) = ? S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-1) = 20 S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-2) = 0 S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-3) = d S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-4) = e S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-5) = f S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-6) = g S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-0) = 0 S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-1) = b S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-2) = c S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-3) = d S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-4) = e S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-5) = f S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-6) = g orients the transitions f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ] f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ] f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ] f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ] f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ] f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ] f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ] f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ] f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ] f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ] weakly and the transition f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ] strictly and produces the following problem: 7: T: (1, 1) f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g) (1, 1) f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ] (781, 1) f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ] (?, 1) f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ] (1, 1) f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ] (?, 1) f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ] (?, 1) f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ] (?, 1) f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ] (?, 1) f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ] (?, 1) f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ] (?, 1) f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ] (?, 1) f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ] (?, 1) f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ] (39, 1) f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ] start location: f0 leaf cost: 1 A polynomial rank function with Pol(f0) = 39 Pol(f16) = 39 Pol(f33) = -2*V_3 + 39 Pol(f19) = 39 Pol(f52) = -2*V_3 - 2*V_5 - 19 Pol(f36) = -2*V_3 + 38 Pol(f55) = -2*V_3 - 2*V_5 - 20 Pol(f59) = -2*V_3 - 2*V_5 - 20 orients all transitions weakly and the transition f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ] strictly and produces the following problem: 8: T: (1, 1) f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g) (1, 1) f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ] (781, 1) f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ] (?, 1) f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ] (1, 1) f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ] (?, 1) f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ] (?, 1) f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ] (?, 1) f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ] (?, 1) f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ] (?, 1) f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ] (?, 1) f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ] (?, 1) f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ] (39, 1) f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ] (39, 1) f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ] start location: f0 leaf cost: 1 A polynomial rank function with Pol(f59) = -20 Pol(f55) = -20 Pol(f52) = -20 Pol(f36) = 19 Pol(f33) = 18 Pol(f19) = 19 and size complexities S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-0) = 781 S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-1) = 0 S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-2) = c S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-3) = d S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-4) = e S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-5) = f S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-6) = g S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-0) = 781 S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-1) = 20 S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-2) = ? S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-3) = 0 S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-4) = e S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-5) = f S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-6) = g S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-0) = 781 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-1) = 20 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-2) = ? S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-3) = 20 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-4) = ? S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-5) = 0 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-6) = g + 20 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-0) = 781 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-1) = 20 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-2) = ? S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-3) = 20 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-4) = ? S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-5) = ? S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-6) = 0 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-0) = 781 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-1) = 20 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-2) = ? S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-3) = 20 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-4) = ? S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-5) = ? S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-6) = 20 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-0) = 781 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-1) = 20 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-2) = ? S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-3) = 20 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-4) = ? S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-5) = ? S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-6) = 20 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-0) = 781 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-1) = 20 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-2) = ? S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-3) = 20 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-4) = ? S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-5) = ? S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-6) = 20 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-0) = 781 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-1) = 20 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-2) = ? S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-3) = 20 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-4) = e S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-5) = f S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-6) = g S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-0) = 781 S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-1) = 20 S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-2) = ? S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-3) = 20 S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-4) = e S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-5) = f S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-6) = g S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-0) = 781 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-1) = 20 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-2) = ? S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-3) = 20 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-4) = 0 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-5) = f S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-6) = g S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-0) = 781 S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-1) = 20 S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-2) = c S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-3) = d S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-4) = e S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-5) = f S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-6) = g S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-0) = 781 S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-1) = 20 S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-2) = c S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-3) = d S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-4) = e S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-5) = f S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-6) = g S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-0) = 781 S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-1) = 20 S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-2) = 0 S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-3) = d S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-4) = e S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-5) = f S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-6) = g S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-0) = 0 S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-1) = b S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-2) = c S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-3) = d S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-4) = e S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-5) = f S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-6) = g orients the transitions f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ] f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ] f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ] f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ] f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ] f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ] f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ] f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ] weakly and the transition f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ] strictly and produces the following problem: 9: T: (1, 1) f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g) (1, 1) f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ] (781, 1) f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ] (?, 1) f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ] (1, 1) f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ] (1502, 1) f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ] (?, 1) f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ] (?, 1) f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ] (?, 1) f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ] (?, 1) f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ] (?, 1) f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ] (?, 1) f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ] (39, 1) f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ] (39, 1) f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ] start location: f0 leaf cost: 1 A polynomial rank function with Pol(f0) = 57 Pol(f16) = 57 Pol(f33) = 57 Pol(f19) = 57 Pol(f52) = -2*V_5 + 39 Pol(f36) = 57 Pol(f55) = -2*V_5 + 38 Pol(f59) = -2*V_5 + 38 orients all transitions weakly and the transition f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ] strictly and produces the following problem: 10: T: (1, 1) f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g) (1, 1) f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ] (781, 1) f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ] (?, 1) f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ] (1, 1) f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ] (1502, 1) f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ] (?, 1) f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ] (?, 1) f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ] (?, 1) f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ] (?, 1) f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ] (?, 1) f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ] (57, 1) f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ] (39, 1) f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ] (39, 1) f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ] start location: f0 leaf cost: 1 A polynomial rank function with Pol(f59) = 19 Pol(f55) = 19 Pol(f52) = 18 Pol(f36) = 19 Pol(f19) = 19 and size complexities S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-0) = 781 S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-1) = 0 S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-2) = c S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-3) = d S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-4) = e S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-5) = f S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-6) = g S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-0) = 781 S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-1) = 20 S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-2) = 1502 S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-3) = 0 S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-4) = e S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-5) = f S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-6) = g S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-0) = 781 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-1) = 20 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-2) = 1502 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-3) = 20 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-4) = ? S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-5) = 0 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-6) = g + 20 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-0) = 781 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-1) = 20 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-2) = 1502 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-3) = 20 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-4) = ? S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-5) = ? S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-6) = 0 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-0) = 781 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-1) = 20 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-2) = 1502 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-3) = 20 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-4) = ? S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-5) = ? S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-6) = 20 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-0) = 781 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-1) = 20 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-2) = 1502 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-3) = 20 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-4) = ? S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-5) = ? S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-6) = 20 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-0) = 781 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-1) = 20 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-2) = 1502 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-3) = 20 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-4) = ? S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-5) = ? S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-6) = 20 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-0) = 781 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-1) = 20 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-2) = 1502 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-3) = 20 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-4) = e S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-5) = f S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-6) = g S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-0) = 781 S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-1) = 20 S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-2) = 1502 S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-3) = 20 S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-4) = e S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-5) = f S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-6) = g S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-0) = 781 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-1) = 20 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-2) = 1502 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-3) = 20 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-4) = 0 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-5) = f S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-6) = g S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-0) = 781 S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-1) = 20 S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-2) = c S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-3) = d S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-4) = e S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-5) = f S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-6) = g S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-0) = 781 S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-1) = 20 S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-2) = c S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-3) = d S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-4) = e S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-5) = f S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-6) = g S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-0) = 781 S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-1) = 20 S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-2) = 0 S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-3) = d S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-4) = e S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-5) = f S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-6) = g S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-0) = 0 S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-1) = b S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-2) = c S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-3) = d S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-4) = e S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-5) = f S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-6) = g orients the transitions f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ] f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ] f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ] f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ] f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ] f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ] weakly and the transition f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ] strictly and produces the following problem: 11: T: (1, 1) f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g) (1, 1) f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ] (781, 1) f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ] (?, 1) f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ] (1, 1) f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ] (1502, 1) f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ] (?, 1) f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ] (2565, 1) f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ] (?, 1) f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ] (?, 1) f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ] (?, 1) f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ] (57, 1) f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ] (39, 1) f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ] (39, 1) f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ] start location: f0 leaf cost: 1 A polynomial rank function with Pol(f59) = -2*V_6 + 38 Pol(f55) = -2*V_6 + 39 Pol(f36) = -V_4 + 20 Pol(f19) = -V_2 + 20 and size complexities S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-0) = 781 S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-1) = 0 S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-2) = c S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-3) = d S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-4) = e S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-5) = f S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-6) = g S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-0) = 781 S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-1) = 20 S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-2) = 1502 S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-3) = 0 S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-4) = e S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-5) = f S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-6) = g S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-0) = 781 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-1) = 20 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-2) = 1502 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-3) = 20 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-4) = 2565 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-5) = 0 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-6) = g + 20 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-0) = 781 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-1) = 20 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-2) = 1502 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-3) = 20 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-4) = 2565 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-5) = ? S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-6) = 0 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-0) = 781 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-1) = 20 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-2) = 1502 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-3) = 20 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-4) = 2565 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-5) = ? S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-6) = 20 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-0) = 781 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-1) = 20 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-2) = 1502 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-3) = 20 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-4) = 2565 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-5) = ? S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-6) = 20 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-0) = 781 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-1) = 20 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-2) = 1502 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-3) = 20 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-4) = 2565 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-5) = ? S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-6) = 20 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-0) = 781 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-1) = 20 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-2) = 1502 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-3) = 20 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-4) = e S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-5) = f S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-6) = g S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-0) = 781 S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-1) = 20 S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-2) = 1502 S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-3) = 20 S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-4) = e S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-5) = f S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-6) = g S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-0) = 781 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-1) = 20 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-2) = 1502 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-3) = 20 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-4) = 0 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-5) = f S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-6) = g S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-0) = 781 S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-1) = 20 S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-2) = c S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-3) = d S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-4) = e S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-5) = f S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-6) = g S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-0) = 781 S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-1) = 20 S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-2) = c S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-3) = d S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-4) = e S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-5) = f S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-6) = g S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-0) = 781 S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-1) = 20 S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-2) = 0 S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-3) = d S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-4) = e S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-5) = f S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-6) = g S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-0) = 0 S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-1) = b S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-2) = c S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-3) = d S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-4) = e S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-5) = f S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-6) = g orients the transitions f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ] f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ] f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ] f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ] f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ] weakly and the transitions f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ] f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ] f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ] strictly and produces the following problem: 12: T: (1, 1) f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g) (1, 1) f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ] (781, 1) f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ] (3783, 1) f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ] (1, 1) f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ] (1502, 1) f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ] (3783, 1) f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ] (2565, 1) f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ] (?, 1) f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ] (?, 1) f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ] (3783, 1) f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ] (57, 1) f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ] (39, 1) f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ] (39, 1) f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ] start location: f0 leaf cost: 1 A polynomial rank function with Pol(f59) = 19 Pol(f55) = 18 and size complexities S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-0) = 781 S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-1) = 0 S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-2) = c S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-3) = d S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-4) = e S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-5) = f S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-6) = g S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-0) = 781 S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-1) = 20 S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-2) = 1502 S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-3) = 0 S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-4) = e S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-5) = f S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-6) = g S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-0) = 781 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-1) = 20 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-2) = 1502 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-3) = 20 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-4) = 2565 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-5) = 0 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-6) = g + 20 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-0) = 781 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-1) = 20 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-2) = 1502 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-3) = 20 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-4) = 2565 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-5) = ? S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-6) = 0 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-0) = 781 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-1) = 20 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-2) = 1502 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-3) = 20 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-4) = 2565 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-5) = ? S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-6) = 20 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-0) = 781 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-1) = 20 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-2) = 1502 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-3) = 20 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-4) = 2565 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-5) = ? S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-6) = 20 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-0) = 781 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-1) = 20 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-2) = 1502 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-3) = 20 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-4) = 2565 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-5) = ? S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-6) = 20 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-0) = 781 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-1) = 20 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-2) = 1502 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-3) = 20 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-4) = e S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-5) = f S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-6) = g S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-0) = 781 S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-1) = 20 S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-2) = 1502 S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-3) = 20 S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-4) = e S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-5) = f S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-6) = g S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-0) = 781 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-1) = 20 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-2) = 1502 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-3) = 20 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-4) = 0 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-5) = f S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-6) = g S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-0) = 781 S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-1) = 20 S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-2) = c S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-3) = d S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-4) = e S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-5) = f S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-6) = g S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-0) = 781 S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-1) = 20 S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-2) = c S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-3) = d S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-4) = e S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-5) = f S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-6) = g S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-0) = 781 S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-1) = 20 S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-2) = 0 S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-3) = d S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-4) = e S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-5) = f S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-6) = g S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-0) = 0 S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-1) = b S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-2) = c S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-3) = d S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-4) = e S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-5) = f S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-6) = g orients the transitions f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ] f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ] weakly and the transition f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ] strictly and produces the following problem: 13: T: (1, 1) f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g) (1, 1) f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ] (781, 1) f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ] (3783, 1) f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ] (1, 1) f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ] (1502, 1) f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ] (3783, 1) f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ] (2565, 1) f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ] (71877, 1) f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ] (?, 1) f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ] (3783, 1) f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ] (57, 1) f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ] (39, 1) f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ] (39, 1) f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ] start location: f0 leaf cost: 1 A polynomial rank function with Pol(f59) = -V_7 + 20 and size complexities S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-0) = 781 S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-1) = 0 S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-2) = c S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-3) = d S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-4) = e S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-5) = f S("f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ]", 0-6) = g S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-0) = 781 S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-1) = 20 S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-2) = 1502 S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-3) = 0 S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-4) = e S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-5) = f S("f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ]", 0-6) = g S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-0) = 781 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-1) = 20 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-2) = 1502 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-3) = 20 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-4) = 2565 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-5) = 0 S("f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ]", 0-6) = g + 20 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-0) = 781 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-1) = 20 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-2) = 1502 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-3) = 20 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-4) = 2565 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-5) = 71877 S("f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ]", 0-6) = 0 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-0) = 781 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-1) = 20 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-2) = 1502 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-3) = 20 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-4) = 2565 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-5) = 71877 S("f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ]", 0-6) = 20 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-0) = 781 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-1) = 20 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-2) = 1502 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-3) = 20 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-4) = 2565 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-5) = 71877 S("f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ]", 0-6) = 20 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-0) = 781 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-1) = 20 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-2) = 1502 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-3) = 20 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-4) = 2565 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-5) = 71877 S("f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ]", 0-6) = 20 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-0) = 781 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-1) = 20 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-2) = 1502 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-3) = 20 S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-4) = e S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-5) = f S("f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ]", 0-6) = g S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-0) = 781 S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-1) = 20 S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-2) = 1502 S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-3) = 20 S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-4) = e S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-5) = f S("f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ]", 0-6) = g S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-0) = 781 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-1) = 20 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-2) = 1502 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-3) = 20 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-4) = 0 S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-5) = f S("f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ]", 0-6) = g S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-0) = 781 S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-1) = 20 S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-2) = c S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-3) = d S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-4) = e S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-5) = f S("f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ]", 0-6) = g S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-0) = 781 S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-1) = 20 S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-2) = c S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-3) = d S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-4) = e S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-5) = f S("f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ]", 0-6) = g S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-0) = 781 S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-1) = 20 S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-2) = 0 S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-3) = d S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-4) = e S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-5) = f S("f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ]", 0-6) = g S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-0) = 0 S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-1) = b S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-2) = c S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-3) = d S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-4) = e S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-5) = f S("f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g)", 0-6) = g orients the transition f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ] weakly and the transition f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ] strictly and produces the following problem: 14: T: (1, 1) f0(a, b, c, d, e, f, g) -> f16(0, b, c, d, e, f, g) (1, 1) f16(a, b, c, d, e, f, g) -> f33(a, b, 0, d, e, f, g) [ a >= 20 ] (781, 1) f19(a, b, c, d, e, f, g) -> f16(a + 1, b, c, d, e, f, g) [ b >= 20 ] (3783, 1) f19(a, b, c, d, e, f, g) -> f19(a, b + 1, c, d, e, f, g) [ 19 >= b ] (1, 1) f33(a, b, c, d, e, f, g) -> f52(a, b, c, d, 0, f, g) [ c >= 20 ] (1502, 1) f36(a, b, c, d, e, f, g) -> f33(a, b, c + 1, d, e, f, g) [ d >= 20 ] (3783, 1) f36(a, b, c, d, e, f, g) -> f36(a, b, c, d + 1, e, f, g) [ 19 >= d ] (2565, 1) f55(a, b, c, d, e, f, g) -> f52(a, b, c, d, e + 1, f, g) [ f >= 20 ] (71877, 1) f59(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, f + 1, g) [ g >= 20 ] (75660, 1) f59(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, g + 1) [ 19 >= g ] (3783, 1) f55(a, b, c, d, e, f, g) -> f59(a, b, c, d, e, f, 0) [ 19 >= f ] (57, 1) f52(a, b, c, d, e, f, g) -> f55(a, b, c, d, e, 0, g) [ 19 >= e ] (39, 1) f33(a, b, c, d, e, f, g) -> f36(a, b, c, 0, e, f, g) [ 19 >= c ] (39, 1) f16(a, b, c, d, e, f, g) -> f19(a, 0, c, d, e, f, g) [ 19 >= a ] start location: f0 leaf cost: 1 Complexity upper bound 163873 Time: 0.768 sec (SMT: 0.674 sec)