MAYBE Initial complexity problem: 1: T: (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) (?, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (?, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (?, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfreturnin(a, b, c, d, e, f, g) [ 0 >= d ] (?, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ] (?, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ] (?, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ] (?, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ] (?, 1) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1) (?, 1) evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) (?, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) (?, 1) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g) (?, 1) evalfreturnin(a, b, c, d, e, f, g) -> evalfstop(a, b, c, d, e, f, g) start location: evalfstart leaf cost: 0 Repeatedly removing leaves of the complexity graph in problem 1 produces the following problem: 2: T: (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) (?, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (?, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (?, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ] (?, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ] (?, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ] (?, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ] (?, 1) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1) (?, 1) evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) (?, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) (?, 1) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g) start location: evalfstart leaf cost: 2 Repeatedly propagating knowledge in problem 2 produces the following problem: 3: T: (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (?, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (?, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ] (?, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ] (?, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ] (?, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ] (?, 1) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1) (?, 1) evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) (?, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) (?, 1) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g) start location: evalfstart leaf cost: 2 A polynomial rank function with Pol(evalfstart) = 3*V_1 + 1 Pol(evalfentryin) = 3*V_1 + 1 Pol(evalfbb10in) = 3*V_4 + 1 Pol(evalfbb8in) = 3*V_4 Pol(evalfbb6in) = 3*V_4 Pol(evalfbb9in) = 3*V_4 - 1 Pol(evalfbb4in) = 3*V_4 Pol(evalfbb7in) = 3*V_4 Pol(evalfbb3in) = 3*V_4 Pol(evalfbb5in) = 3*V_4 orients all transitions weakly and the transition evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] strictly and produces the following problem: 4: T: (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (?, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ] (?, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ] (?, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ] (?, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ] (?, 1) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1) (?, 1) evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) (?, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) (?, 1) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g) start location: evalfstart leaf cost: 2 A polynomial rank function with Pol(evalfbb9in) = 1 Pol(evalfbb10in) = 0 Pol(evalfbb8in) = 2 Pol(evalfbb6in) = 2 Pol(evalfbb7in) = 2 Pol(evalfbb4in) = 2 Pol(evalfbb5in) = 2 Pol(evalfbb3in) = 2 and size complexities S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-0) = b S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-1) = c S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-2) = d S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-3) = ? S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-4) = ? S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-5) = ? S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-6) = ? S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-0) = b S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-1) = c S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-2) = d S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-3) = ? S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-4) = ? S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-5) = ? S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-6) = ? S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-0) = b S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-1) = c S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-2) = d S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-3) = ? S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-4) = ? S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-5) = ? S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-6) = ? S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-0) = b S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-1) = c S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-2) = d S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-3) = ? S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-4) = ? S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-5) = ? S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-6) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-0) = b S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-1) = c S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-2) = d S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-3) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-4) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-5) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-6) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-0) = b S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-1) = c S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-2) = d S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-3) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-4) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-5) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-6) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-0) = b S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-1) = c S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-2) = d S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-3) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-4) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-5) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-6) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-0) = b S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-1) = c S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-2) = d S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-3) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-4) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-5) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-6) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-0) = b S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-1) = c S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-2) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-3) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-4) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-5) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-6) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-0) = b S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-1) = c S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-2) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-3) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-4) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-5) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-6) = ? S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-0) = b S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-1) = c S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-2) = d S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-3) = ? S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-4) = 1 S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-5) = ? S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-6) = ? S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-0) = b S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-1) = c S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-2) = d S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-3) = a S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-4) = e S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-5) = f S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-6) = g S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-0) = a S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-1) = b S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-2) = c S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-3) = d S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-4) = e S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-5) = f S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-6) = g orients the transitions evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ] evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ] evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ] evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ] evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ] evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ] evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1) weakly and the transition evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g) strictly and produces the following problem: 5: T: (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (?, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ] (?, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ] (?, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ] (?, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ] (?, 1) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1) (?, 1) evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) (?, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) (6*a + 2, 1) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g) start location: evalfstart leaf cost: 2 A polynomial rank function with Pol(evalfbb8in) = 1 Pol(evalfbb9in) = 0 Pol(evalfbb6in) = 1 Pol(evalfbb7in) = 1 Pol(evalfbb4in) = 1 Pol(evalfbb5in) = 1 Pol(evalfbb3in) = 1 and size complexities S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-0) = b S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-1) = c S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-2) = d S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-3) = 7*a + 98 S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-4) = ? S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-5) = ? S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-6) = ? S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-0) = b S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-1) = c S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-2) = d S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-3) = 7*a + 98 S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-4) = ? S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-5) = ? S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-6) = ? S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-0) = b S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-1) = c S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-2) = d S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-3) = 7*a + 98 S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-4) = ? S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-5) = ? S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-6) = ? S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-0) = b S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-1) = c S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-2) = d S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-3) = 7*a + 98 S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-4) = ? S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-5) = ? S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-6) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-0) = b S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-1) = c S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-2) = d S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-3) = 7*a + 98 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-4) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-5) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-6) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-0) = b S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-1) = c S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-2) = d S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-3) = 7*a + 98 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-4) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-5) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-6) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-0) = b S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-1) = c S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-2) = d S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-3) = 7*a + 98 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-4) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-5) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-6) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-0) = b S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-1) = c S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-2) = d S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-3) = 7*a + 98 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-4) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-5) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-6) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-0) = b S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-1) = c S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-2) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-3) = 7*a + 98 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-4) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-5) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-6) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-0) = b S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-1) = c S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-2) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-3) = 7*a + 98 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-4) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-5) = 7*a + 686 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-6) = ? S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-0) = b S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-1) = c S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-2) = d S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-3) = 7*a + 98 S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-4) = 1 S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-5) = ? S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-6) = ? S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-0) = b S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-1) = c S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-2) = d S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-3) = a S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-4) = e S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-5) = f S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-6) = g S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-0) = a S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-1) = b S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-2) = c S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-3) = d S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-4) = e S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-5) = f S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-6) = g orients the transitions evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ] evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ] evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ] evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ] evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ] evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ] evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1) weakly and the transition evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ] strictly and produces the following problem: 6: T: (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (?, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ] (?, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ] (?, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ] (?, 1) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1) (?, 1) evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) (?, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) (6*a + 2, 1) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g) start location: evalfstart leaf cost: 2 A polynomial rank function with Pol(evalfbb8in) = 3*V_1 - 3*V_5 + 1 Pol(evalfbb6in) = 3*V_1 - 3*V_5 Pol(evalfbb7in) = 3*V_1 - 3*V_5 - 1 Pol(evalfbb4in) = 3*V_1 - 3*V_5 Pol(evalfbb5in) = 3*V_1 - 3*V_5 Pol(evalfbb3in) = 3*V_1 - 3*V_5 and size complexities S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-0) = b S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-1) = c S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-2) = d S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-3) = 7*a + 98 S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-4) = ? S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-5) = ? S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-6) = ? S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-0) = b S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-1) = c S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-2) = d S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-3) = 7*a + 98 S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-4) = ? S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-5) = ? S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-6) = ? S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-0) = b S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-1) = c S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-2) = d S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-3) = 7*a + 98 S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-4) = ? S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-5) = ? S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-6) = ? S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-0) = b S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-1) = c S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-2) = d S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-3) = 7*a + 98 S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-4) = ? S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-5) = ? S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-6) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-0) = b S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-1) = c S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-2) = d S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-3) = 7*a + 98 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-4) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-5) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-6) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-0) = b S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-1) = c S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-2) = d S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-3) = 7*a + 98 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-4) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-5) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-6) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-0) = b S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-1) = c S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-2) = d S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-3) = 7*a + 98 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-4) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-5) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-6) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-0) = b S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-1) = c S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-2) = d S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-3) = 7*a + 98 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-4) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-5) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-6) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-0) = b S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-1) = c S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-2) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-3) = 7*a + 98 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-4) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-5) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-6) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-0) = b S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-1) = c S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-2) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-3) = 7*a + 98 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-4) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-5) = 7*a + 686 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-6) = ? S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-0) = b S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-1) = c S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-2) = d S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-3) = 7*a + 98 S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-4) = 1 S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-5) = ? S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-6) = ? S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-0) = b S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-1) = c S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-2) = d S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-3) = a S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-4) = e S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-5) = f S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-6) = g S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-0) = a S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-1) = b S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-2) = c S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-3) = d S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-4) = e S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-5) = f S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-6) = g orients the transitions evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ] evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ] evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ] evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ] evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ] evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1) weakly and the transition evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ] strictly and produces the following problem: 7: T: (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ] (?, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ] (?, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ] (?, 1) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1) (?, 1) evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) (?, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) (6*a + 2, 1) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g) start location: evalfstart leaf cost: 2 A polynomial rank function with Pol(evalfbb7in) = 1 Pol(evalfbb8in) = 0 Pol(evalfbb6in) = 2 Pol(evalfbb4in) = 2 Pol(evalfbb5in) = 2 Pol(evalfbb3in) = 2 and size complexities S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-0) = b S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-1) = c S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-2) = d S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-3) = 7*a + 98 S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-4) = ? S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-5) = ? S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-6) = ? S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-0) = b S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-1) = c S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-2) = d S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-3) = 7*a + 98 S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-4) = ? S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-5) = ? S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-6) = ? S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-0) = b S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-1) = c S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-2) = d S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-3) = 7*a + 98 S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-4) = ? S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-5) = ? S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-6) = ? S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-0) = b S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-1) = c S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-2) = d S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-3) = 7*a + 98 S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-4) = ? S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-5) = ? S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-6) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-0) = b S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-1) = c S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-2) = d S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-3) = 7*a + 98 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-4) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-5) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-6) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-0) = b S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-1) = c S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-2) = d S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-3) = 7*a + 98 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-4) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-5) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-6) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-0) = b S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-1) = c S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-2) = d S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-3) = 7*a + 98 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-4) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-5) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-6) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-0) = b S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-1) = c S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-2) = d S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-3) = 7*a + 98 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-4) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-5) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-6) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-0) = b S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-1) = c S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-2) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-3) = 7*a + 98 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-4) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-5) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-6) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-0) = b S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-1) = c S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-2) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-3) = 7*a + 98 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-4) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-5) = 7*a + 686 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-6) = ? S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-0) = b S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-1) = c S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-2) = d S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-3) = 7*a + 98 S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-4) = 1 S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-5) = ? S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-6) = ? S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-0) = b S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-1) = c S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-2) = d S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-3) = a S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-4) = e S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-5) = f S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-6) = g S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-0) = a S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-1) = b S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-2) = c S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-3) = d S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-4) = e S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-5) = f S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-6) = g orients the transitions evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ] evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ] evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ] evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ] evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1) weakly and the transition evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) strictly and produces the following problem: 8: T: (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ] (?, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ] (?, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ] (?, 1) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1) (?, 1) evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) (18*a*b + 6*b + 24*a + 8, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) (6*a + 2, 1) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g) start location: evalfstart leaf cost: 2 A polynomial rank function with Pol(evalfbb6in) = 1 Pol(evalfbb7in) = 0 Pol(evalfbb4in) = 1 Pol(evalfbb5in) = 1 Pol(evalfbb3in) = 1 and size complexities S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-0) = b S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-1) = c S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-2) = d S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-3) = 7*a + 98 S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-5) = ? S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-6) = ? S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-0) = b S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-1) = c S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-2) = d S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-3) = 7*a + 98 S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-5) = ? S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-6) = ? S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-0) = b S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-1) = c S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-2) = d S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-3) = 7*a + 98 S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-5) = ? S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-6) = ? S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-0) = b S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-1) = c S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-2) = d S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-3) = 7*a + 98 S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-5) = ? S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-6) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-0) = b S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-1) = c S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-2) = d S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-3) = 7*a + 98 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-5) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-6) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-0) = b S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-1) = c S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-2) = d S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-3) = 7*a + 98 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-5) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-6) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-0) = b S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-1) = c S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-2) = d S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-3) = 7*a + 98 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-5) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-6) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-0) = b S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-1) = c S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-2) = d S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-3) = 7*a + 98 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-5) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-6) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-0) = b S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-1) = c S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-2) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-3) = 7*a + 98 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-5) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-6) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-0) = b S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-1) = c S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-2) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-3) = 7*a + 98 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-5) = 7*a + 686 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-6) = ? S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-0) = b S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-1) = c S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-2) = d S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-3) = 7*a + 98 S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-4) = 1 S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-5) = ? S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-6) = ? S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-0) = b S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-1) = c S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-2) = d S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-3) = a S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-4) = e S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-5) = f S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-6) = g S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-0) = a S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-1) = b S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-2) = c S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-3) = d S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-4) = e S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-5) = f S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-6) = g orients the transitions evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ] evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ] evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ] evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ] evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1) weakly and the transition evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ] strictly and produces the following problem: 9: T: (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ] (?, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ] (?, 1) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1) (?, 1) evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) (18*a*b + 6*b + 24*a + 8, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) (6*a + 2, 1) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g) start location: evalfstart leaf cost: 2 A polynomial rank function with Pol(evalfbb6in) = 3*V_2 - 3*V_6 + 1 Pol(evalfbb4in) = 3*V_2 - 3*V_6 Pol(evalfbb5in) = 3*V_2 - 3*V_6 - 1 Pol(evalfbb3in) = 3*V_2 - 3*V_6 and size complexities S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-0) = b S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-1) = c S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-2) = d S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-3) = 7*a + 98 S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-5) = ? S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-6) = ? S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-0) = b S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-1) = c S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-2) = d S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-3) = 7*a + 98 S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-5) = ? S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-6) = ? S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-0) = b S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-1) = c S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-2) = d S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-3) = 7*a + 98 S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-5) = ? S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-6) = ? S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-0) = b S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-1) = c S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-2) = d S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-3) = 7*a + 98 S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-5) = ? S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-6) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-0) = b S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-1) = c S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-2) = d S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-3) = 7*a + 98 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-5) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-6) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-0) = b S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-1) = c S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-2) = d S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-3) = 7*a + 98 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-5) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-6) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-0) = b S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-1) = c S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-2) = d S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-3) = 7*a + 98 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-5) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-6) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-0) = b S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-1) = c S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-2) = d S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-3) = 7*a + 98 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-5) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-6) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-0) = b S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-1) = c S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-2) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-3) = 7*a + 98 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-5) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-6) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-0) = b S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-1) = c S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-2) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-3) = 7*a + 98 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-5) = 7*a + 686 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-6) = ? S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-0) = b S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-1) = c S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-2) = d S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-3) = 7*a + 98 S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-4) = 1 S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-5) = ? S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-6) = ? S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-0) = b S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-1) = c S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-2) = d S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-3) = a S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-4) = e S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-5) = f S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-6) = g S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-0) = a S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-1) = b S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-2) = c S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-3) = d S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-4) = e S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-5) = f S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-6) = g orients the transitions evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ] evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ] evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ] evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1) weakly and the transition evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ] strictly and produces the following problem: 10: T: (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ] (?, 1) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1) (?, 1) evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) (18*a*b + 6*b + 24*a + 8, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) (6*a + 2, 1) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g) start location: evalfstart leaf cost: 2 A polynomial rank function with Pol(evalfbb5in) = 1 Pol(evalfbb6in) = 0 Pol(evalfbb4in) = 2 Pol(evalfbb3in) = 2 and size complexities S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-0) = b S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-1) = c S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-2) = d S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-3) = 7*a + 98 S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-5) = ? S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-6) = ? S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-0) = b S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-1) = c S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-2) = d S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-3) = 7*a + 98 S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-5) = ? S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-6) = ? S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-0) = b S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-1) = c S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-2) = d S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-3) = 7*a + 98 S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-5) = ? S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-6) = ? S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-0) = b S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-1) = c S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-2) = d S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-3) = 7*a + 98 S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-5) = ? S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-6) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-0) = b S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-1) = c S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-2) = d S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-3) = 7*a + 98 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-5) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-6) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-0) = b S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-1) = c S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-2) = d S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-3) = 7*a + 98 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-5) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-6) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-0) = b S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-1) = c S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-2) = d S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-3) = 7*a + 98 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-5) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-6) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-0) = b S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-1) = c S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-2) = d S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-3) = 7*a + 98 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-5) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-6) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-0) = b S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-1) = c S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-2) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-3) = 7*a + 98 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-5) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-6) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-0) = b S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-1) = c S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-2) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-3) = 7*a + 98 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-5) = 7*a + 686 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-6) = ? S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-0) = b S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-1) = c S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-2) = d S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-3) = 7*a + 98 S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-4) = 1 S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-5) = ? S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-6) = ? S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-0) = b S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-1) = c S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-2) = d S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-3) = a S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-4) = e S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-5) = f S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-6) = g S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-0) = a S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-1) = b S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-2) = c S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-3) = d S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-4) = e S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-5) = f S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-6) = g orients the transitions evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ] evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ] evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1) weakly and the transition evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) strictly and produces the following problem: 11: T: (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ] (?, 1) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1) (54*a*b*c + 18*b*c + 72*a*c + 378*a^2*b + 37188*a*b + 504*a^2 + 24*c + 49584*a + 12354*b + 16472, 1) evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) (18*a*b + 6*b + 24*a + 8, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) (6*a + 2, 1) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g) start location: evalfstart leaf cost: 2 A polynomial rank function with Pol(evalfbb4in) = 1 Pol(evalfbb5in) = 0 Pol(evalfbb3in) = 1 and size complexities S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-0) = b S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-1) = c S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-2) = d S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-3) = 7*a + 98 S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-5) = f + 49585*a + 54*a*b*c + 18*b*c + 72*a*c + 378*a^2*b + 37188*a*b + 504*a^2 + 24*c + 12354*b + 16570 S("evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g)", 0-6) = ? S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-0) = b S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-1) = c S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-2) = d S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-3) = 7*a + 98 S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-5) = 49585*a + 54*a*b*c + 18*b*c + 72*a*c + 378*a^2*b + 37188*a*b + 504*a^2 + 24*c + 12354*b + 16570 S("evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g)", 0-6) = ? S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-0) = b S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-1) = c S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-2) = d S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-3) = 7*a + 98 S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-5) = 49585*a + 54*a*b*c + 18*b*c + 72*a*c + 378*a^2*b + 37188*a*b + 504*a^2 + 24*c + 12354*b + 16570 S("evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g)", 0-6) = ? S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-0) = b S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-1) = c S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-2) = d S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-3) = 7*a + 98 S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-5) = 49585*a + 54*a*b*c + 18*b*c + 72*a*c + 378*a^2*b + 37188*a*b + 504*a^2 + 24*c + 12354*b + 16570 S("evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1)", 0-6) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-0) = b S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-1) = c S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-2) = d S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-3) = 7*a + 98 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-5) = 49585*a + 54*a*b*c + 18*b*c + 72*a*c + 378*a^2*b + 37188*a*b + 504*a^2 + 24*c + 12354*b + 16570 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ]", 0-6) = ? S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-0) = b S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-1) = c S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-2) = d S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-3) = 7*a + 98 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-5) = 49585*a + 54*a*b*c + 18*b*c + 72*a*c + 378*a^2*b + 37188*a*b + 504*a^2 + 24*c + 12354*b + 16570 S("evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ]", 0-6) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-0) = b S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-1) = c S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-2) = d S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-3) = 7*a + 98 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-5) = 49585*a + 54*a*b*c + 18*b*c + 72*a*c + 378*a^2*b + 37188*a*b + 504*a^2 + 24*c + 12354*b + 16570 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ]", 0-6) = ? S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-0) = b S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-1) = c S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-2) = d S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-3) = 7*a + 98 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-5) = 49585*a + 54*a*b*c + 18*b*c + 72*a*c + 378*a^2*b + 37188*a*b + 504*a^2 + 24*c + 12354*b + 16570 S("evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ]", 0-6) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-0) = b S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-1) = c S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-2) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-3) = 7*a + 98 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-5) = f + 49585*a + 54*a*b*c + 18*b*c + 72*a*c + 378*a^2*b + 37188*a*b + 504*a^2 + 24*c + 12354*b + 16570 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ]", 0-6) = ? S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-0) = b S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-1) = c S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-2) = d S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-3) = 7*a + 98 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-4) = 18*a*b + 6*b + 24*a + 9 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-5) = 7*a + 686 S("evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ]", 0-6) = ? S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-0) = b S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-1) = c S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-2) = d S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-3) = 7*a + 98 S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-4) = 1 S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-5) = f + 49585*a + 54*a*b*c + 18*b*c + 72*a*c + 378*a^2*b + 37188*a*b + 504*a^2 + 24*c + 12354*b + 16570 S("evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ]", 0-6) = ? S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-0) = b S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-1) = c S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-2) = d S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-3) = a S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-4) = e S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-5) = f S("evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g)", 0-6) = g S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-0) = a S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-1) = b S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-2) = c S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-3) = d S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-4) = e S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-5) = f S("evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g)", 0-6) = g orients the transitions evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ] evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ] evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1) weakly and the transition evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ] strictly and produces the following problem: 12: T: (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ a >= e ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e >= a + 1 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ b >= f ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f >= b + 1 ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ e >= g ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ g >= e + 1 ] (?, 1) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1) (54*a*b*c + 18*b*c + 72*a*c + 378*a^2*b + 37188*a*b + 504*a^2 + 24*c + 49584*a + 12354*b + 16472, 1) evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) (18*a*b + 6*b + 24*a + 8, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) (6*a + 2, 1) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g) start location: evalfstart leaf cost: 2 Applied AI with 'oct' on problem 12 to obtain the following invariants: For symbol evalfbb3in: X_5 - X_7 >= 0 /\ X_3 - X_7 >= 0 /\ X_1 - X_7 >= 0 /\ X_2 - X_6 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ X_4 + X_6 - 2 >= 0 /\ -X_4 + X_6 >= 0 /\ X_2 + X_6 - 2 >= 0 /\ X_1 + X_6 - 2 >= 0 /\ X_1 - X_5 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 2 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ X_1 + X_5 - 2 >= 0 /\ X_2 - X_4 >= 0 /\ X_4 - 1 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ X_1 + X_4 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0 For symbol evalfbb4in: X_3 - X_7 >= 0 /\ X_2 - X_6 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ X_4 + X_6 - 2 >= 0 /\ -X_4 + X_6 >= 0 /\ X_2 + X_6 - 2 >= 0 /\ X_1 + X_6 - 2 >= 0 /\ X_1 - X_5 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 2 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ X_1 + X_5 - 2 >= 0 /\ X_2 - X_4 >= 0 /\ X_4 - 1 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ X_1 + X_4 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0 For symbol evalfbb5in: X_3 - X_7 >= 0 /\ X_7 - 2 >= 0 /\ X_6 + X_7 - 3 >= 0 /\ X_5 + X_7 - 3 >= 0 /\ -X_5 + X_7 - 1 >= 0 /\ X_4 + X_7 - 3 >= 0 /\ X_3 + X_7 - 4 >= 0 /\ X_2 + X_7 - 3 >= 0 /\ X_1 + X_7 - 3 >= 0 /\ X_2 - X_6 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ X_4 + X_6 - 2 >= 0 /\ -X_4 + X_6 >= 0 /\ X_3 + X_6 - 3 >= 0 /\ X_2 + X_6 - 2 >= 0 /\ X_1 + X_6 - 2 >= 0 /\ X_3 - X_5 - 1 >= 0 /\ X_1 - X_5 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 2 >= 0 /\ X_3 + X_5 - 3 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ X_1 + X_5 - 2 >= 0 /\ X_2 - X_4 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 3 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ X_1 + X_4 - 2 >= 0 /\ X_3 - 2 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0 For symbol evalfbb6in: X_6 - 1 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ X_4 + X_6 - 2 >= 0 /\ -X_4 + X_6 >= 0 /\ X_1 + X_6 - 2 >= 0 /\ X_1 - X_5 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 2 >= 0 /\ X_1 + X_5 - 2 >= 0 /\ X_4 - 1 >= 0 /\ X_1 + X_4 - 2 >= 0 /\ X_1 - 1 >= 0 For symbol evalfbb7in: X_6 - 1 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ X_4 + X_6 - 2 >= 0 /\ -X_4 + X_6 >= 0 /\ -X_2 + X_6 - 1 >= 0 /\ X_1 + X_6 - 2 >= 0 /\ X_1 - X_5 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 2 >= 0 /\ X_1 + X_5 - 2 >= 0 /\ X_4 - 1 >= 0 /\ X_1 + X_4 - 2 >= 0 /\ X_1 - 1 >= 0 For symbol evalfbb8in: X_5 - 1 >= 0 /\ X_4 + X_5 - 2 >= 0 /\ X_4 - 1 >= 0 For symbol evalfbb9in: X_5 - 1 >= 0 /\ X_4 + X_5 - 2 >= 0 /\ -X_1 + X_5 - 1 >= 0 /\ X_4 - 1 >= 0 This yielded the following problem: 13: T: (6*a + 2, 1) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ -a + e - 1 >= 0 /\ d - 1 >= 0 ] (18*a*b + 6*b + 24*a + 8, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ -b + f - 1 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 ] (54*a*b*c + 18*b*c + 72*a*c + 378*a^2*b + 37188*a*b + 504*a^2 + 24*c + 49584*a + 12354*b + 16472, 1) evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) [ c - g >= 0 /\ g - 2 >= 0 /\ f + g - 3 >= 0 /\ e + g - 3 >= 0 /\ -e + g - 1 >= 0 /\ d + g - 3 >= 0 /\ c + g - 4 >= 0 /\ b + g - 3 >= 0 /\ a + g - 3 >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ c + f - 3 >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ c - e - 1 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ c + e - 3 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ c + d - 3 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ c - 2 >= 0 /\ b + c - 3 >= 0 /\ a + c - 3 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 ] (?, 1) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1) [ e - g >= 0 /\ c - g >= 0 /\ a - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ g >= e + 1 ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ f >= b + 1 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ b >= f ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ e >= a + 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ a >= e ] (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) start location: evalfstart leaf cost: 2 By chaining the transition evalfbb9in(a, b, c, d, e, f, g) -> evalfbb10in(a, b, c, d - 1, e, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ -a + e - 1 >= 0 /\ d - 1 >= 0 ] with all transitions in problem 13, the following new transition is obtained: evalfbb9in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d - 1, 1, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ -a + e - 1 >= 0 /\ d - 1 >= 0 /\ d - 1 >= 1 ] We thus obtain the following problem: 14: T: (6*a + 2, 2) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d - 1, 1, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ -a + e - 1 >= 0 /\ d - 1 >= 0 /\ d - 1 >= 1 ] (18*a*b + 6*b + 24*a + 8, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ -b + f - 1 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 ] (54*a*b*c + 18*b*c + 72*a*c + 378*a^2*b + 37188*a*b + 504*a^2 + 24*c + 49584*a + 12354*b + 16472, 1) evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) [ c - g >= 0 /\ g - 2 >= 0 /\ f + g - 3 >= 0 /\ e + g - 3 >= 0 /\ -e + g - 1 >= 0 /\ d + g - 3 >= 0 /\ c + g - 4 >= 0 /\ b + g - 3 >= 0 /\ a + g - 3 >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ c + f - 3 >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ c - e - 1 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ c + e - 3 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ c + d - 3 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ c - 2 >= 0 /\ b + c - 3 >= 0 /\ a + c - 3 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 ] (?, 1) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1) [ e - g >= 0 /\ c - g >= 0 /\ a - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ g >= e + 1 ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ f >= b + 1 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ b >= f ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ e >= a + 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ a >= e ] (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) start location: evalfstart leaf cost: 2 By chaining the transition evalfbb3in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, g - 1) [ e - g >= 0 /\ c - g >= 0 /\ a - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 ] with all transitions in problem 14, the following new transition is obtained: evalfbb3in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 1) [ e - g >= 0 /\ c - g >= 0 /\ a - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 ] We thus obtain the following problem: 15: T: (?, 2) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 1) [ e - g >= 0 /\ c - g >= 0 /\ a - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 ] (6*a + 2, 2) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d - 1, 1, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ -a + e - 1 >= 0 /\ d - 1 >= 0 /\ d - 1 >= 1 ] (18*a*b + 6*b + 24*a + 8, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ -b + f - 1 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 ] (54*a*b*c + 18*b*c + 72*a*c + 378*a^2*b + 37188*a*b + 504*a^2 + 24*c + 49584*a + 12354*b + 16472, 1) evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) [ c - g >= 0 /\ g - 2 >= 0 /\ f + g - 3 >= 0 /\ e + g - 3 >= 0 /\ -e + g - 1 >= 0 /\ d + g - 3 >= 0 /\ c + g - 4 >= 0 /\ b + g - 3 >= 0 /\ a + g - 3 >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ c + f - 3 >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ c - e - 1 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ c + e - 3 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ c + d - 3 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ c - 2 >= 0 /\ b + c - 3 >= 0 /\ a + c - 3 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ g >= e + 1 ] (?, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ f >= b + 1 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ b >= f ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ e >= a + 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ a >= e ] (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) start location: evalfstart leaf cost: 2 Repeatedly propagating knowledge in problem 15 produces the following problem: 16: T: (?, 2) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 1) [ e - g >= 0 /\ c - g >= 0 /\ a - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 ] (6*a + 2, 2) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d - 1, 1, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ -a + e - 1 >= 0 /\ d - 1 >= 0 /\ d - 1 >= 1 ] (18*a*b + 6*b + 24*a + 8, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ -b + f - 1 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 ] (54*a*b*c + 18*b*c + 72*a*c + 378*a^2*b + 37188*a*b + 504*a^2 + 24*c + 49584*a + 12354*b + 16472, 1) evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) [ c - g >= 0 /\ g - 2 >= 0 /\ f + g - 3 >= 0 /\ e + g - 3 >= 0 /\ -e + g - 1 >= 0 /\ d + g - 3 >= 0 /\ c + g - 4 >= 0 /\ b + g - 3 >= 0 /\ a + g - 3 >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ c + f - 3 >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ c - e - 1 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ c + e - 3 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ c + d - 3 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ c - 2 >= 0 /\ b + c - 3 >= 0 /\ a + c - 3 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ g >= e + 1 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ f >= b + 1 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ b >= f ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ e >= a + 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ a >= e ] (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) start location: evalfstart leaf cost: 2 By chaining the transition evalfbb4in(a, b, c, d, e, f, g) -> evalfbb5in(a, b, c, d, e, f, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ g >= e + 1 ] with all transitions in problem 16, the following new transition is obtained: evalfbb4in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ g >= e + 1 /\ g - 2 >= 0 /\ f + g - 3 >= 0 /\ e + g - 3 >= 0 /\ -e + g - 1 >= 0 /\ d + g - 3 >= 0 /\ c + g - 4 >= 0 /\ b + g - 3 >= 0 /\ a + g - 3 >= 0 /\ c + f - 3 >= 0 /\ c - e - 1 >= 0 /\ c + e - 3 >= 0 /\ c + d - 3 >= 0 /\ c - 2 >= 0 /\ b + c - 3 >= 0 /\ a + c - 3 >= 0 ] We thus obtain the following problem: 17: T: (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 2) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ g >= e + 1 /\ g - 2 >= 0 /\ f + g - 3 >= 0 /\ e + g - 3 >= 0 /\ -e + g - 1 >= 0 /\ d + g - 3 >= 0 /\ c + g - 4 >= 0 /\ b + g - 3 >= 0 /\ a + g - 3 >= 0 /\ c + f - 3 >= 0 /\ c - e - 1 >= 0 /\ c + e - 3 >= 0 /\ c + d - 3 >= 0 /\ c - 2 >= 0 /\ b + c - 3 >= 0 /\ a + c - 3 >= 0 ] (?, 2) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 1) [ e - g >= 0 /\ c - g >= 0 /\ a - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 ] (6*a + 2, 2) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d - 1, 1, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ -a + e - 1 >= 0 /\ d - 1 >= 0 /\ d - 1 >= 1 ] (18*a*b + 6*b + 24*a + 8, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ -b + f - 1 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 ] (54*a*b*c + 18*b*c + 72*a*c + 378*a^2*b + 37188*a*b + 504*a^2 + 24*c + 49584*a + 12354*b + 16472, 1) evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) [ c - g >= 0 /\ g - 2 >= 0 /\ f + g - 3 >= 0 /\ e + g - 3 >= 0 /\ -e + g - 1 >= 0 /\ d + g - 3 >= 0 /\ c + g - 4 >= 0 /\ b + g - 3 >= 0 /\ a + g - 3 >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ c + f - 3 >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ c - e - 1 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ c + e - 3 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ c + d - 3 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ c - 2 >= 0 /\ b + c - 3 >= 0 /\ a + c - 3 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ f >= b + 1 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ b >= f ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ e >= a + 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ a >= e ] (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) start location: evalfstart leaf cost: 2 Testing for reachability in the complexity graph removes the following transition from problem 17: evalfbb5in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) [ c - g >= 0 /\ g - 2 >= 0 /\ f + g - 3 >= 0 /\ e + g - 3 >= 0 /\ -e + g - 1 >= 0 /\ d + g - 3 >= 0 /\ c + g - 4 >= 0 /\ b + g - 3 >= 0 /\ a + g - 3 >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ c + f - 3 >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ c - e - 1 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ c + e - 3 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ c + d - 3 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ c - 2 >= 0 /\ b + c - 3 >= 0 /\ a + c - 3 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 ] We thus obtain the following problem: 18: T: (?, 2) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 1) [ e - g >= 0 /\ c - g >= 0 /\ a - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 2) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ g >= e + 1 /\ g - 2 >= 0 /\ f + g - 3 >= 0 /\ e + g - 3 >= 0 /\ -e + g - 1 >= 0 /\ d + g - 3 >= 0 /\ c + g - 4 >= 0 /\ b + g - 3 >= 0 /\ a + g - 3 >= 0 /\ c + f - 3 >= 0 /\ c - e - 1 >= 0 /\ c + e - 3 >= 0 /\ c + d - 3 >= 0 /\ c - 2 >= 0 /\ b + c - 3 >= 0 /\ a + c - 3 >= 0 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g ] (18*a*b + 6*b + 24*a + 8, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ -b + f - 1 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ b >= f ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ f >= b + 1 ] (6*a + 2, 2) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d - 1, 1, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ -a + e - 1 >= 0 /\ d - 1 >= 0 /\ d - 1 >= 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ a >= e ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ e >= a + 1 ] (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) start location: evalfstart leaf cost: 2 By chaining the transition evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g ] with all transitions in problem 18, the following new transition is obtained: evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 1) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 ] We thus obtain the following problem: 19: T: (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 3) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 1) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 ] (?, 2) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 1) [ e - g >= 0 /\ c - g >= 0 /\ a - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 2) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ g >= e + 1 /\ g - 2 >= 0 /\ f + g - 3 >= 0 /\ e + g - 3 >= 0 /\ -e + g - 1 >= 0 /\ d + g - 3 >= 0 /\ c + g - 4 >= 0 /\ b + g - 3 >= 0 /\ a + g - 3 >= 0 /\ c + f - 3 >= 0 /\ c - e - 1 >= 0 /\ c + e - 3 >= 0 /\ c + d - 3 >= 0 /\ c - 2 >= 0 /\ b + c - 3 >= 0 /\ a + c - 3 >= 0 ] (18*a*b + 6*b + 24*a + 8, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ -b + f - 1 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ b >= f ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ f >= b + 1 ] (6*a + 2, 2) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d - 1, 1, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ -a + e - 1 >= 0 /\ d - 1 >= 0 /\ d - 1 >= 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ a >= e ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ e >= a + 1 ] (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) start location: evalfstart leaf cost: 2 By chaining the transition evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 1) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 ] with all transitions in problem 19, the following new transition is obtained: evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 2) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 ] We thus obtain the following problem: 20: T: (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 5) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 2) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 ] (?, 2) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 1) [ e - g >= 0 /\ c - g >= 0 /\ a - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 2) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ g >= e + 1 /\ g - 2 >= 0 /\ f + g - 3 >= 0 /\ e + g - 3 >= 0 /\ -e + g - 1 >= 0 /\ d + g - 3 >= 0 /\ c + g - 4 >= 0 /\ b + g - 3 >= 0 /\ a + g - 3 >= 0 /\ c + f - 3 >= 0 /\ c - e - 1 >= 0 /\ c + e - 3 >= 0 /\ c + d - 3 >= 0 /\ c - 2 >= 0 /\ b + c - 3 >= 0 /\ a + c - 3 >= 0 ] (18*a*b + 6*b + 24*a + 8, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ -b + f - 1 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ b >= f ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ f >= b + 1 ] (6*a + 2, 2) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d - 1, 1, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ -a + e - 1 >= 0 /\ d - 1 >= 0 /\ d - 1 >= 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ a >= e ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ e >= a + 1 ] (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) start location: evalfstart leaf cost: 2 By chaining the transition evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 2) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 ] with all transitions in problem 20, the following new transition is obtained: evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 3) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 ] We thus obtain the following problem: 21: T: (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 7) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 3) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 ] (?, 2) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 1) [ e - g >= 0 /\ c - g >= 0 /\ a - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 2) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ g >= e + 1 /\ g - 2 >= 0 /\ f + g - 3 >= 0 /\ e + g - 3 >= 0 /\ -e + g - 1 >= 0 /\ d + g - 3 >= 0 /\ c + g - 4 >= 0 /\ b + g - 3 >= 0 /\ a + g - 3 >= 0 /\ c + f - 3 >= 0 /\ c - e - 1 >= 0 /\ c + e - 3 >= 0 /\ c + d - 3 >= 0 /\ c - 2 >= 0 /\ b + c - 3 >= 0 /\ a + c - 3 >= 0 ] (18*a*b + 6*b + 24*a + 8, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ -b + f - 1 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ b >= f ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ f >= b + 1 ] (6*a + 2, 2) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d - 1, 1, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ -a + e - 1 >= 0 /\ d - 1 >= 0 /\ d - 1 >= 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ a >= e ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ e >= a + 1 ] (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) start location: evalfstart leaf cost: 2 By chaining the transition evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 3) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 ] with all transitions in problem 21, the following new transition is obtained: evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 4) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 ] We thus obtain the following problem: 22: T: (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 9) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 4) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 ] (?, 2) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 1) [ e - g >= 0 /\ c - g >= 0 /\ a - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 2) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ g >= e + 1 /\ g - 2 >= 0 /\ f + g - 3 >= 0 /\ e + g - 3 >= 0 /\ -e + g - 1 >= 0 /\ d + g - 3 >= 0 /\ c + g - 4 >= 0 /\ b + g - 3 >= 0 /\ a + g - 3 >= 0 /\ c + f - 3 >= 0 /\ c - e - 1 >= 0 /\ c + e - 3 >= 0 /\ c + d - 3 >= 0 /\ c - 2 >= 0 /\ b + c - 3 >= 0 /\ a + c - 3 >= 0 ] (18*a*b + 6*b + 24*a + 8, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ -b + f - 1 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ b >= f ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ f >= b + 1 ] (6*a + 2, 2) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d - 1, 1, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ -a + e - 1 >= 0 /\ d - 1 >= 0 /\ d - 1 >= 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ a >= e ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ e >= a + 1 ] (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) start location: evalfstart leaf cost: 2 By chaining the transition evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 4) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 ] with all transitions in problem 22, the following new transition is obtained: evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 5) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 /\ e - g + 4 >= 0 /\ a - g + 4 >= 0 /\ c - g + 5 >= 0 /\ e >= g - 5 ] We thus obtain the following problem: 23: T: (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 11) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 5) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 /\ e - g + 4 >= 0 /\ a - g + 4 >= 0 /\ c - g + 5 >= 0 /\ e >= g - 5 ] (?, 2) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 1) [ e - g >= 0 /\ c - g >= 0 /\ a - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 2) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ g >= e + 1 /\ g - 2 >= 0 /\ f + g - 3 >= 0 /\ e + g - 3 >= 0 /\ -e + g - 1 >= 0 /\ d + g - 3 >= 0 /\ c + g - 4 >= 0 /\ b + g - 3 >= 0 /\ a + g - 3 >= 0 /\ c + f - 3 >= 0 /\ c - e - 1 >= 0 /\ c + e - 3 >= 0 /\ c + d - 3 >= 0 /\ c - 2 >= 0 /\ b + c - 3 >= 0 /\ a + c - 3 >= 0 ] (18*a*b + 6*b + 24*a + 8, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ -b + f - 1 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ b >= f ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ f >= b + 1 ] (6*a + 2, 2) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d - 1, 1, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ -a + e - 1 >= 0 /\ d - 1 >= 0 /\ d - 1 >= 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ a >= e ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ e >= a + 1 ] (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) start location: evalfstart leaf cost: 2 By chaining the transition evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 5) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 /\ e - g + 4 >= 0 /\ a - g + 4 >= 0 /\ c - g + 5 >= 0 /\ e >= g - 5 ] with all transitions in problem 23, the following new transition is obtained: evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 6) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 /\ e - g + 4 >= 0 /\ a - g + 4 >= 0 /\ c - g + 5 >= 0 /\ e >= g - 5 /\ e - g + 5 >= 0 /\ a - g + 5 >= 0 /\ c - g + 6 >= 0 /\ e >= g - 6 ] We thus obtain the following problem: 24: T: (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 13) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 6) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 /\ e - g + 4 >= 0 /\ a - g + 4 >= 0 /\ c - g + 5 >= 0 /\ e >= g - 5 /\ e - g + 5 >= 0 /\ a - g + 5 >= 0 /\ c - g + 6 >= 0 /\ e >= g - 6 ] (?, 2) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 1) [ e - g >= 0 /\ c - g >= 0 /\ a - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 2) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ g >= e + 1 /\ g - 2 >= 0 /\ f + g - 3 >= 0 /\ e + g - 3 >= 0 /\ -e + g - 1 >= 0 /\ d + g - 3 >= 0 /\ c + g - 4 >= 0 /\ b + g - 3 >= 0 /\ a + g - 3 >= 0 /\ c + f - 3 >= 0 /\ c - e - 1 >= 0 /\ c + e - 3 >= 0 /\ c + d - 3 >= 0 /\ c - 2 >= 0 /\ b + c - 3 >= 0 /\ a + c - 3 >= 0 ] (18*a*b + 6*b + 24*a + 8, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ -b + f - 1 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ b >= f ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ f >= b + 1 ] (6*a + 2, 2) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d - 1, 1, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ -a + e - 1 >= 0 /\ d - 1 >= 0 /\ d - 1 >= 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ a >= e ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ e >= a + 1 ] (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) start location: evalfstart leaf cost: 2 By chaining the transition evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 6) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 /\ e - g + 4 >= 0 /\ a - g + 4 >= 0 /\ c - g + 5 >= 0 /\ e >= g - 5 /\ e - g + 5 >= 0 /\ a - g + 5 >= 0 /\ c - g + 6 >= 0 /\ e >= g - 6 ] with all transitions in problem 24, the following new transition is obtained: evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 7) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 /\ e - g + 4 >= 0 /\ a - g + 4 >= 0 /\ c - g + 5 >= 0 /\ e >= g - 5 /\ e - g + 5 >= 0 /\ a - g + 5 >= 0 /\ c - g + 6 >= 0 /\ e >= g - 6 /\ e - g + 6 >= 0 /\ a - g + 6 >= 0 /\ c - g + 7 >= 0 /\ e >= g - 7 ] We thus obtain the following problem: 25: T: (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 15) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 7) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 /\ e - g + 4 >= 0 /\ a - g + 4 >= 0 /\ c - g + 5 >= 0 /\ e >= g - 5 /\ e - g + 5 >= 0 /\ a - g + 5 >= 0 /\ c - g + 6 >= 0 /\ e >= g - 6 /\ e - g + 6 >= 0 /\ a - g + 6 >= 0 /\ c - g + 7 >= 0 /\ e >= g - 7 ] (?, 2) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 1) [ e - g >= 0 /\ c - g >= 0 /\ a - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 2) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ g >= e + 1 /\ g - 2 >= 0 /\ f + g - 3 >= 0 /\ e + g - 3 >= 0 /\ -e + g - 1 >= 0 /\ d + g - 3 >= 0 /\ c + g - 4 >= 0 /\ b + g - 3 >= 0 /\ a + g - 3 >= 0 /\ c + f - 3 >= 0 /\ c - e - 1 >= 0 /\ c + e - 3 >= 0 /\ c + d - 3 >= 0 /\ c - 2 >= 0 /\ b + c - 3 >= 0 /\ a + c - 3 >= 0 ] (18*a*b + 6*b + 24*a + 8, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ -b + f - 1 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ b >= f ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ f >= b + 1 ] (6*a + 2, 2) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d - 1, 1, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ -a + e - 1 >= 0 /\ d - 1 >= 0 /\ d - 1 >= 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ a >= e ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ e >= a + 1 ] (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) start location: evalfstart leaf cost: 2 By chaining the transition evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 7) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 /\ e - g + 4 >= 0 /\ a - g + 4 >= 0 /\ c - g + 5 >= 0 /\ e >= g - 5 /\ e - g + 5 >= 0 /\ a - g + 5 >= 0 /\ c - g + 6 >= 0 /\ e >= g - 6 /\ e - g + 6 >= 0 /\ a - g + 6 >= 0 /\ c - g + 7 >= 0 /\ e >= g - 7 ] with all transitions in problem 25, the following new transition is obtained: evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 8) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 /\ e - g + 4 >= 0 /\ a - g + 4 >= 0 /\ c - g + 5 >= 0 /\ e >= g - 5 /\ e - g + 5 >= 0 /\ a - g + 5 >= 0 /\ c - g + 6 >= 0 /\ e >= g - 6 /\ e - g + 6 >= 0 /\ a - g + 6 >= 0 /\ c - g + 7 >= 0 /\ e >= g - 7 /\ e - g + 7 >= 0 /\ a - g + 7 >= 0 /\ c - g + 8 >= 0 /\ e >= g - 8 ] We thus obtain the following problem: 26: T: (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 17) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 8) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 /\ e - g + 4 >= 0 /\ a - g + 4 >= 0 /\ c - g + 5 >= 0 /\ e >= g - 5 /\ e - g + 5 >= 0 /\ a - g + 5 >= 0 /\ c - g + 6 >= 0 /\ e >= g - 6 /\ e - g + 6 >= 0 /\ a - g + 6 >= 0 /\ c - g + 7 >= 0 /\ e >= g - 7 /\ e - g + 7 >= 0 /\ a - g + 7 >= 0 /\ c - g + 8 >= 0 /\ e >= g - 8 ] (?, 2) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 1) [ e - g >= 0 /\ c - g >= 0 /\ a - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 2) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ g >= e + 1 /\ g - 2 >= 0 /\ f + g - 3 >= 0 /\ e + g - 3 >= 0 /\ -e + g - 1 >= 0 /\ d + g - 3 >= 0 /\ c + g - 4 >= 0 /\ b + g - 3 >= 0 /\ a + g - 3 >= 0 /\ c + f - 3 >= 0 /\ c - e - 1 >= 0 /\ c + e - 3 >= 0 /\ c + d - 3 >= 0 /\ c - 2 >= 0 /\ b + c - 3 >= 0 /\ a + c - 3 >= 0 ] (18*a*b + 6*b + 24*a + 8, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ -b + f - 1 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ b >= f ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ f >= b + 1 ] (6*a + 2, 2) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d - 1, 1, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ -a + e - 1 >= 0 /\ d - 1 >= 0 /\ d - 1 >= 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ a >= e ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ e >= a + 1 ] (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) start location: evalfstart leaf cost: 2 By chaining the transition evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 8) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 /\ e - g + 4 >= 0 /\ a - g + 4 >= 0 /\ c - g + 5 >= 0 /\ e >= g - 5 /\ e - g + 5 >= 0 /\ a - g + 5 >= 0 /\ c - g + 6 >= 0 /\ e >= g - 6 /\ e - g + 6 >= 0 /\ a - g + 6 >= 0 /\ c - g + 7 >= 0 /\ e >= g - 7 /\ e - g + 7 >= 0 /\ a - g + 7 >= 0 /\ c - g + 8 >= 0 /\ e >= g - 8 ] with all transitions in problem 26, the following new transition is obtained: evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 9) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 /\ e - g + 4 >= 0 /\ a - g + 4 >= 0 /\ c - g + 5 >= 0 /\ e >= g - 5 /\ e - g + 5 >= 0 /\ a - g + 5 >= 0 /\ c - g + 6 >= 0 /\ e >= g - 6 /\ e - g + 6 >= 0 /\ a - g + 6 >= 0 /\ c - g + 7 >= 0 /\ e >= g - 7 /\ e - g + 7 >= 0 /\ a - g + 7 >= 0 /\ c - g + 8 >= 0 /\ e >= g - 8 /\ e - g + 8 >= 0 /\ a - g + 8 >= 0 /\ c - g + 9 >= 0 /\ e >= g - 9 ] We thus obtain the following problem: 27: T: (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 19) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 9) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 /\ e - g + 4 >= 0 /\ a - g + 4 >= 0 /\ c - g + 5 >= 0 /\ e >= g - 5 /\ e - g + 5 >= 0 /\ a - g + 5 >= 0 /\ c - g + 6 >= 0 /\ e >= g - 6 /\ e - g + 6 >= 0 /\ a - g + 6 >= 0 /\ c - g + 7 >= 0 /\ e >= g - 7 /\ e - g + 7 >= 0 /\ a - g + 7 >= 0 /\ c - g + 8 >= 0 /\ e >= g - 8 /\ e - g + 8 >= 0 /\ a - g + 8 >= 0 /\ c - g + 9 >= 0 /\ e >= g - 9 ] (?, 2) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 1) [ e - g >= 0 /\ c - g >= 0 /\ a - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 2) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ g >= e + 1 /\ g - 2 >= 0 /\ f + g - 3 >= 0 /\ e + g - 3 >= 0 /\ -e + g - 1 >= 0 /\ d + g - 3 >= 0 /\ c + g - 4 >= 0 /\ b + g - 3 >= 0 /\ a + g - 3 >= 0 /\ c + f - 3 >= 0 /\ c - e - 1 >= 0 /\ c + e - 3 >= 0 /\ c + d - 3 >= 0 /\ c - 2 >= 0 /\ b + c - 3 >= 0 /\ a + c - 3 >= 0 ] (18*a*b + 6*b + 24*a + 8, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ -b + f - 1 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ b >= f ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ f >= b + 1 ] (6*a + 2, 2) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d - 1, 1, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ -a + e - 1 >= 0 /\ d - 1 >= 0 /\ d - 1 >= 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ a >= e ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ e >= a + 1 ] (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) start location: evalfstart leaf cost: 2 By chaining the transition evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 9) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 /\ e - g + 4 >= 0 /\ a - g + 4 >= 0 /\ c - g + 5 >= 0 /\ e >= g - 5 /\ e - g + 5 >= 0 /\ a - g + 5 >= 0 /\ c - g + 6 >= 0 /\ e >= g - 6 /\ e - g + 6 >= 0 /\ a - g + 6 >= 0 /\ c - g + 7 >= 0 /\ e >= g - 7 /\ e - g + 7 >= 0 /\ a - g + 7 >= 0 /\ c - g + 8 >= 0 /\ e >= g - 8 /\ e - g + 8 >= 0 /\ a - g + 8 >= 0 /\ c - g + 9 >= 0 /\ e >= g - 9 ] with all transitions in problem 27, the following new transition is obtained: evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 10) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 /\ e - g + 4 >= 0 /\ a - g + 4 >= 0 /\ c - g + 5 >= 0 /\ e >= g - 5 /\ e - g + 5 >= 0 /\ a - g + 5 >= 0 /\ c - g + 6 >= 0 /\ e >= g - 6 /\ e - g + 6 >= 0 /\ a - g + 6 >= 0 /\ c - g + 7 >= 0 /\ e >= g - 7 /\ e - g + 7 >= 0 /\ a - g + 7 >= 0 /\ c - g + 8 >= 0 /\ e >= g - 8 /\ e - g + 8 >= 0 /\ a - g + 8 >= 0 /\ c - g + 9 >= 0 /\ e >= g - 9 /\ e - g + 9 >= 0 /\ a - g + 9 >= 0 /\ c - g + 10 >= 0 /\ e >= g - 10 ] We thus obtain the following problem: 28: T: (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 21) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 10) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 /\ e - g + 4 >= 0 /\ a - g + 4 >= 0 /\ c - g + 5 >= 0 /\ e >= g - 5 /\ e - g + 5 >= 0 /\ a - g + 5 >= 0 /\ c - g + 6 >= 0 /\ e >= g - 6 /\ e - g + 6 >= 0 /\ a - g + 6 >= 0 /\ c - g + 7 >= 0 /\ e >= g - 7 /\ e - g + 7 >= 0 /\ a - g + 7 >= 0 /\ c - g + 8 >= 0 /\ e >= g - 8 /\ e - g + 8 >= 0 /\ a - g + 8 >= 0 /\ c - g + 9 >= 0 /\ e >= g - 9 /\ e - g + 9 >= 0 /\ a - g + 9 >= 0 /\ c - g + 10 >= 0 /\ e >= g - 10 ] (?, 2) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 1) [ e - g >= 0 /\ c - g >= 0 /\ a - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 2) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ g >= e + 1 /\ g - 2 >= 0 /\ f + g - 3 >= 0 /\ e + g - 3 >= 0 /\ -e + g - 1 >= 0 /\ d + g - 3 >= 0 /\ c + g - 4 >= 0 /\ b + g - 3 >= 0 /\ a + g - 3 >= 0 /\ c + f - 3 >= 0 /\ c - e - 1 >= 0 /\ c + e - 3 >= 0 /\ c + d - 3 >= 0 /\ c - 2 >= 0 /\ b + c - 3 >= 0 /\ a + c - 3 >= 0 ] (18*a*b + 6*b + 24*a + 8, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ -b + f - 1 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ b >= f ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ f >= b + 1 ] (6*a + 2, 2) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d - 1, 1, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ -a + e - 1 >= 0 /\ d - 1 >= 0 /\ d - 1 >= 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ a >= e ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ e >= a + 1 ] (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) start location: evalfstart leaf cost: 2 By chaining the transition evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 10) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 /\ e - g + 4 >= 0 /\ a - g + 4 >= 0 /\ c - g + 5 >= 0 /\ e >= g - 5 /\ e - g + 5 >= 0 /\ a - g + 5 >= 0 /\ c - g + 6 >= 0 /\ e >= g - 6 /\ e - g + 6 >= 0 /\ a - g + 6 >= 0 /\ c - g + 7 >= 0 /\ e >= g - 7 /\ e - g + 7 >= 0 /\ a - g + 7 >= 0 /\ c - g + 8 >= 0 /\ e >= g - 8 /\ e - g + 8 >= 0 /\ a - g + 8 >= 0 /\ c - g + 9 >= 0 /\ e >= g - 9 /\ e - g + 9 >= 0 /\ a - g + 9 >= 0 /\ c - g + 10 >= 0 /\ e >= g - 10 ] with all transitions in problem 28, the following new transition is obtained: evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 11) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 /\ e - g + 4 >= 0 /\ a - g + 4 >= 0 /\ c - g + 5 >= 0 /\ e >= g - 5 /\ e - g + 5 >= 0 /\ a - g + 5 >= 0 /\ c - g + 6 >= 0 /\ e >= g - 6 /\ e - g + 6 >= 0 /\ a - g + 6 >= 0 /\ c - g + 7 >= 0 /\ e >= g - 7 /\ e - g + 7 >= 0 /\ a - g + 7 >= 0 /\ c - g + 8 >= 0 /\ e >= g - 8 /\ e - g + 8 >= 0 /\ a - g + 8 >= 0 /\ c - g + 9 >= 0 /\ e >= g - 9 /\ e - g + 9 >= 0 /\ a - g + 9 >= 0 /\ c - g + 10 >= 0 /\ e >= g - 10 /\ e - g + 10 >= 0 /\ a - g + 10 >= 0 /\ c - g + 11 >= 0 /\ e >= g - 11 ] We thus obtain the following problem: 29: T: (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 23) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 11) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 /\ e - g + 4 >= 0 /\ a - g + 4 >= 0 /\ c - g + 5 >= 0 /\ e >= g - 5 /\ e - g + 5 >= 0 /\ a - g + 5 >= 0 /\ c - g + 6 >= 0 /\ e >= g - 6 /\ e - g + 6 >= 0 /\ a - g + 6 >= 0 /\ c - g + 7 >= 0 /\ e >= g - 7 /\ e - g + 7 >= 0 /\ a - g + 7 >= 0 /\ c - g + 8 >= 0 /\ e >= g - 8 /\ e - g + 8 >= 0 /\ a - g + 8 >= 0 /\ c - g + 9 >= 0 /\ e >= g - 9 /\ e - g + 9 >= 0 /\ a - g + 9 >= 0 /\ c - g + 10 >= 0 /\ e >= g - 10 /\ e - g + 10 >= 0 /\ a - g + 10 >= 0 /\ c - g + 11 >= 0 /\ e >= g - 11 ] (?, 2) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 1) [ e - g >= 0 /\ c - g >= 0 /\ a - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 2) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ g >= e + 1 /\ g - 2 >= 0 /\ f + g - 3 >= 0 /\ e + g - 3 >= 0 /\ -e + g - 1 >= 0 /\ d + g - 3 >= 0 /\ c + g - 4 >= 0 /\ b + g - 3 >= 0 /\ a + g - 3 >= 0 /\ c + f - 3 >= 0 /\ c - e - 1 >= 0 /\ c + e - 3 >= 0 /\ c + d - 3 >= 0 /\ c - 2 >= 0 /\ b + c - 3 >= 0 /\ a + c - 3 >= 0 ] (18*a*b + 6*b + 24*a + 8, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ -b + f - 1 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ b >= f ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ f >= b + 1 ] (6*a + 2, 2) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d - 1, 1, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ -a + e - 1 >= 0 /\ d - 1 >= 0 /\ d - 1 >= 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ a >= e ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ e >= a + 1 ] (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) start location: evalfstart leaf cost: 2 By chaining the transition evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 11) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 /\ e - g + 4 >= 0 /\ a - g + 4 >= 0 /\ c - g + 5 >= 0 /\ e >= g - 5 /\ e - g + 5 >= 0 /\ a - g + 5 >= 0 /\ c - g + 6 >= 0 /\ e >= g - 6 /\ e - g + 6 >= 0 /\ a - g + 6 >= 0 /\ c - g + 7 >= 0 /\ e >= g - 7 /\ e - g + 7 >= 0 /\ a - g + 7 >= 0 /\ c - g + 8 >= 0 /\ e >= g - 8 /\ e - g + 8 >= 0 /\ a - g + 8 >= 0 /\ c - g + 9 >= 0 /\ e >= g - 9 /\ e - g + 9 >= 0 /\ a - g + 9 >= 0 /\ c - g + 10 >= 0 /\ e >= g - 10 /\ e - g + 10 >= 0 /\ a - g + 10 >= 0 /\ c - g + 11 >= 0 /\ e >= g - 11 ] with all transitions in problem 29, the following new transition is obtained: evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 12) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 /\ e - g + 4 >= 0 /\ a - g + 4 >= 0 /\ c - g + 5 >= 0 /\ e >= g - 5 /\ e - g + 5 >= 0 /\ a - g + 5 >= 0 /\ c - g + 6 >= 0 /\ e >= g - 6 /\ e - g + 6 >= 0 /\ a - g + 6 >= 0 /\ c - g + 7 >= 0 /\ e >= g - 7 /\ e - g + 7 >= 0 /\ a - g + 7 >= 0 /\ c - g + 8 >= 0 /\ e >= g - 8 /\ e - g + 8 >= 0 /\ a - g + 8 >= 0 /\ c - g + 9 >= 0 /\ e >= g - 9 /\ e - g + 9 >= 0 /\ a - g + 9 >= 0 /\ c - g + 10 >= 0 /\ e >= g - 10 /\ e - g + 10 >= 0 /\ a - g + 10 >= 0 /\ c - g + 11 >= 0 /\ e >= g - 11 /\ e - g + 11 >= 0 /\ a - g + 11 >= 0 /\ c - g + 12 >= 0 /\ e >= g - 12 ] We thus obtain the following problem: 30: T: (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 25) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 12) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ e >= g /\ e - g >= 0 /\ a - g >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 /\ e - g + 1 >= 0 /\ a - g + 1 >= 0 /\ c - g + 2 >= 0 /\ e >= g - 2 /\ e - g + 2 >= 0 /\ a - g + 2 >= 0 /\ c - g + 3 >= 0 /\ e >= g - 3 /\ e - g + 3 >= 0 /\ a - g + 3 >= 0 /\ c - g + 4 >= 0 /\ e >= g - 4 /\ e - g + 4 >= 0 /\ a - g + 4 >= 0 /\ c - g + 5 >= 0 /\ e >= g - 5 /\ e - g + 5 >= 0 /\ a - g + 5 >= 0 /\ c - g + 6 >= 0 /\ e >= g - 6 /\ e - g + 6 >= 0 /\ a - g + 6 >= 0 /\ c - g + 7 >= 0 /\ e >= g - 7 /\ e - g + 7 >= 0 /\ a - g + 7 >= 0 /\ c - g + 8 >= 0 /\ e >= g - 8 /\ e - g + 8 >= 0 /\ a - g + 8 >= 0 /\ c - g + 9 >= 0 /\ e >= g - 9 /\ e - g + 9 >= 0 /\ a - g + 9 >= 0 /\ c - g + 10 >= 0 /\ e >= g - 10 /\ e - g + 10 >= 0 /\ a - g + 10 >= 0 /\ c - g + 11 >= 0 /\ e >= g - 11 /\ e - g + 11 >= 0 /\ a - g + 11 >= 0 /\ c - g + 12 >= 0 /\ e >= g - 12 ] (?, 2) evalfbb3in(a, b, c, d, e, f, g) -> evalfbb3in(a, b, c, d, e, f, g - 1) [ e - g >= 0 /\ c - g >= 0 /\ a - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ c - g + 1 >= 0 /\ e >= g - 1 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 2) evalfbb4in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, f + 1, g) [ c - g >= 0 /\ b - f >= 0 /\ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ b + f - 2 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ b + e - 2 >= 0 /\ a + e - 2 >= 0 /\ b - d >= 0 /\ d - 1 >= 0 /\ b + d - 2 >= 0 /\ a + d - 2 >= 0 /\ b - 1 >= 0 /\ a + b - 2 >= 0 /\ a - 1 >= 0 /\ g >= e + 1 /\ g - 2 >= 0 /\ f + g - 3 >= 0 /\ e + g - 3 >= 0 /\ -e + g - 1 >= 0 /\ d + g - 3 >= 0 /\ c + g - 4 >= 0 /\ b + g - 3 >= 0 /\ a + g - 3 >= 0 /\ c + f - 3 >= 0 /\ c - e - 1 >= 0 /\ c + e - 3 >= 0 /\ c + d - 3 >= 0 /\ c - 2 >= 0 /\ b + c - 3 >= 0 /\ a + c - 3 >= 0 ] (18*a*b + 6*b + 24*a + 8, 1) evalfbb7in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, e + 1, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ -b + f - 1 >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 ] (27*a*b*c + 9*b*c + 36*a*c + 189*a^2*b + 18594*a*b + 252*a^2 + 12*c + 24792*a + 6177*b + 8236, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb4in(a, b, c, d, e, f, c) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ b >= f ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb6in(a, b, c, d, e, f, g) -> evalfbb7in(a, b, c, d, e, f, g) [ f - 1 >= 0 /\ e + f - 2 >= 0 /\ d + f - 2 >= 0 /\ -d + f >= 0 /\ a + f - 2 >= 0 /\ a - e >= 0 /\ e - 1 >= 0 /\ d + e - 2 >= 0 /\ a + e - 2 >= 0 /\ d - 1 >= 0 /\ a + d - 2 >= 0 /\ a - 1 >= 0 /\ f >= b + 1 ] (6*a + 2, 2) evalfbb9in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d - 1, 1, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ -a + e - 1 >= 0 /\ d - 1 >= 0 /\ d - 1 >= 1 ] (9*a*b + 3*b + 12*a + 4, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb6in(a, b, c, d, e, d, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ a >= e ] (3*a + 1, 1) evalfbb8in(a, b, c, d, e, f, g) -> evalfbb9in(a, b, c, d, e, f, g) [ e - 1 >= 0 /\ d + e - 2 >= 0 /\ d - 1 >= 0 /\ e >= a + 1 ] (3*a + 1, 1) evalfbb10in(a, b, c, d, e, f, g) -> evalfbb8in(a, b, c, d, 1, f, g) [ d >= 1 ] (1, 1) evalfentryin(a, b, c, d, e, f, g) -> evalfbb10in(b, c, d, a, e, f, g) (1, 1) evalfstart(a, b, c, d, e, f, g) -> evalfentryin(a, b, c, d, e, f, g) start location: evalfstart leaf cost: 2 Complexity upper bound ? Time: 4.010 sec (SMT: 3.323 sec)