MAYBE Initial complexity problem: 1: T: (1, 1) evalbinsearchStepSize2start(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) (?, 1) evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(0, 0, 4, a, e, f, g, h, i) (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2returnin(a, b, c, d, e, f, g, h, i) [ c = 1 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ 0 >= c ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ c >= 2 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ 0 >= b + 1 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ b >= 1 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, c, g, h, i) [ b = 0 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, 0, g, h, i) [ c = 0 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ c >= 1 /\ j >= 0 /\ c >= 2*j /\ 2*j + 1 >= c ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ 0 >= c + 1 /\ 0 >= j /\ 2*j >= c /\ c + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) [ e >= g + 1 ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) [ g >= e ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) [ a = 1 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ 0 >= a ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ a >= 2 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ 0 >= b + 1 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ b >= 1 ] (?, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, 0) [ f = 0 ] (?, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (?, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2returnin(a, b, c, d, e, f, g, h, i) [ d + i >= 256 ] (?, 1) evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, h, i, d + i, e, f, g, h, i) [ 255 >= d + i ] (?, 1) evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) [ g >= e + 1 ] (?, 1) evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2returnin(a, b, c, d, e, f, g, h, i) [ e >= g ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) [ a = 2 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ 1 >= a ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ a >= 3 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ 0 >= b + 1 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ b >= 1 ] (?, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, 0) [ f = 0 ] (?, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, j) [ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (?, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, j) [ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2returnin(a, b, c, d, e, f, g, h, i) [ i >= d + 1 ] (?, 1) evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, h, i, d - i, e, f, g, h, i) [ d >= i ] (?, 1) evalbinsearchStepSize2returnin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2stop(a, b, c, d, e, f, g, h, i) start location: evalbinsearchStepSize2start leaf cost: 0 Repeatedly removing leaves of the complexity graph in problem 1 produces the following problem: 2: T: (1, 1) evalbinsearchStepSize2start(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) (?, 1) evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(0, 0, 4, a, e, f, g, h, i) (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ 0 >= c ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ c >= 2 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ 0 >= b + 1 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ b >= 1 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, c, g, h, i) [ b = 0 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, 0, g, h, i) [ c = 0 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ c >= 1 /\ j >= 0 /\ c >= 2*j /\ 2*j + 1 >= c ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ 0 >= c + 1 /\ 0 >= j /\ 2*j >= c /\ c + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) [ e >= g + 1 ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) [ g >= e ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) [ a = 1 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ 0 >= a ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ a >= 2 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ 0 >= b + 1 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ b >= 1 ] (?, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, 0) [ f = 0 ] (?, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (?, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, h, i, d + i, e, f, g, h, i) [ 255 >= d + i ] (?, 1) evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) [ g >= e + 1 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) [ a = 2 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ 1 >= a ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ a >= 3 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ 0 >= b + 1 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ b >= 1 ] (?, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, 0) [ f = 0 ] (?, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, j) [ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (?, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, j) [ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, h, i, d - i, e, f, g, h, i) [ d >= i ] start location: evalbinsearchStepSize2start leaf cost: 5 Repeatedly propagating knowledge in problem 2 produces the following problem: 3: T: (1, 1) evalbinsearchStepSize2start(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) (1, 1) evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(0, 0, 4, a, e, f, g, h, i) (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ 0 >= c ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ c >= 2 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ 0 >= b + 1 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ b >= 1 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, c, g, h, i) [ b = 0 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, 0, g, h, i) [ c = 0 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ c >= 1 /\ j >= 0 /\ c >= 2*j /\ 2*j + 1 >= c ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ 0 >= c + 1 /\ 0 >= j /\ 2*j >= c /\ c + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) [ e >= g + 1 ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) [ g >= e ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) [ a = 1 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ 0 >= a ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ a >= 2 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ 0 >= b + 1 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ b >= 1 ] (?, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, 0) [ f = 0 ] (?, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (?, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, h, i, d + i, e, f, g, h, i) [ 255 >= d + i ] (?, 1) evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) [ g >= e + 1 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) [ a = 2 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ 1 >= a ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ a >= 3 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ 0 >= b + 1 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ b >= 1 ] (?, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, 0) [ f = 0 ] (?, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, j) [ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (?, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, j) [ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, h, i, d - i, e, f, g, h, i) [ d >= i ] start location: evalbinsearchStepSize2start leaf cost: 5 A polynomial rank function with Pol(evalbinsearchStepSize2start) = 2 Pol(evalbinsearchStepSize2entryin) = 2 Pol(evalbinsearchStepSize2bbin) = -2*V_2 + 2 Pol(evalbinsearchStepSize2bb1in) = -2*V_2 + 2 Pol(evalbinsearchStepSize2bb2in) = -2*V_2 + 2 Pol(evalbinsearchStepSize2bb3in) = -2*V_2 + 2 Pol(evalbinsearchStepSize2bb4in) = -2*V_2 + 2 Pol(evalbinsearchStepSize2bb9in) = -2*V_2 + 2 Pol(evalbinsearchStepSize2bb6in) = 1 Pol(evalbinsearchStepSize2bb7in) = -2*V_8 + 2 Pol(evalbinsearchStepSize2bb10in) = -2*V_2 + 2 Pol(evalbinsearchStepSize2bb12in) = 1 Pol(evalbinsearchStepSize2bb13in) = -2*V_8 + 2 orients all transitions weakly and the transitions evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, 0) [ f = 0 ] evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) [ a = 1 /\ b = 0 ] evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, j) [ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, j) [ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, 0) [ f = 0 ] evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) [ a = 2 /\ b = 0 ] strictly and produces the following problem: 4: T: (1, 1) evalbinsearchStepSize2start(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) (1, 1) evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(0, 0, 4, a, e, f, g, h, i) (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ 0 >= c ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ c >= 2 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ 0 >= b + 1 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ b >= 1 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, c, g, h, i) [ b = 0 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, 0, g, h, i) [ c = 0 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ c >= 1 /\ j >= 0 /\ c >= 2*j /\ 2*j + 1 >= c ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ 0 >= c + 1 /\ 0 >= j /\ 2*j >= c /\ c + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) [ e >= g + 1 ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) [ g >= e ] (2, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) [ a = 1 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ 0 >= a ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ a >= 2 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ 0 >= b + 1 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ b >= 1 ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, 0) [ f = 0 ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, h, i, d + i, e, f, g, h, i) [ 255 >= d + i ] (?, 1) evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) [ g >= e + 1 ] (2, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) [ a = 2 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ 1 >= a ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ a >= 3 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ 0 >= b + 1 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ b >= 1 ] (2, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, 0) [ f = 0 ] (2, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, j) [ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, j) [ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, h, i, d - i, e, f, g, h, i) [ d >= i ] start location: evalbinsearchStepSize2start leaf cost: 5 Applied AI with 'oct' on problem 4 to obtain the following invariants: For symbol evalbinsearchStepSize2bb10in: -X_5 + X_7 - 1 >= 0 /\ -X_6 + 4 >= 0 /\ -X_3 - X_6 + 8 >= 0 /\ X_2 - X_6 + 4 >= 0 /\ X_1 - X_6 + 4 >= 0 /\ -X_3 + X_6 + 4 >= 0 /\ -X_3 + 4 >= 0 /\ X_2 - X_3 + 4 >= 0 /\ X_1 - X_3 + 4 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 For symbol evalbinsearchStepSize2bb12in: -X_5 + X_7 - 1 >= 0 /\ -X_6 + 4 >= 0 /\ -X_3 - X_6 + 8 >= 0 /\ X_2 - X_6 + 4 >= 0 /\ -X_2 - X_6 + 4 >= 0 /\ X_1 - X_6 + 2 >= 0 /\ -X_1 - X_6 + 6 >= 0 /\ -X_3 + X_6 + 4 >= 0 /\ -X_3 + 4 >= 0 /\ X_2 - X_3 + 4 >= 0 /\ -X_2 - X_3 + 4 >= 0 /\ X_1 - X_3 + 2 >= 0 /\ -X_1 - X_3 + 6 >= 0 /\ -X_2 >= 0 /\ X_1 - X_2 - 2 >= 0 /\ -X_1 - X_2 + 2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 + 2 >= 0 /\ -X_1 + 2 >= 0 /\ X_1 - 2 >= 0 For symbol evalbinsearchStepSize2bb13in: -X_9 + 4 >= 0 /\ X_8 - X_9 + 4 >= 0 /\ -X_6 - X_9 + 8 >= 0 /\ -X_3 - X_9 + 8 >= 0 /\ X_2 - X_9 + 4 >= 0 /\ X_1 - X_9 + 4 >= 0 /\ -X_6 + X_9 + 4 >= 0 /\ -X_3 + X_9 + 4 >= 0 /\ X_2 - X_8 + 1 >= 0 /\ X_8 >= 0 /\ -X_6 + X_8 + 4 >= 0 /\ -X_3 + X_8 + 4 >= 0 /\ X_2 + X_8 >= 0 /\ -X_2 + X_8 >= 0 /\ X_1 + X_8 >= 0 /\ -X_5 + X_7 - 1 >= 0 /\ -X_6 + 4 >= 0 /\ -X_3 - X_6 + 8 >= 0 /\ X_2 - X_6 + 4 >= 0 /\ X_1 - X_6 + 4 >= 0 /\ -X_3 + X_6 + 4 >= 0 /\ -X_3 + 4 >= 0 /\ X_2 - X_3 + 4 >= 0 /\ X_1 - X_3 + 4 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 For symbol evalbinsearchStepSize2bb1in: -X_3 + 4 >= 0 /\ X_2 - X_3 + 4 >= 0 /\ X_1 - X_3 + 4 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 For symbol evalbinsearchStepSize2bb2in: -X_3 + 4 >= 0 /\ X_2 - X_3 + 3 >= 0 /\ X_1 - X_3 + 4 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ X_1 >= 0 For symbol evalbinsearchStepSize2bb3in: -X_6 + 4 >= 0 /\ -X_3 - X_6 + 8 >= 0 /\ X_2 - X_6 + 4 >= 0 /\ X_1 - X_6 + 4 >= 0 /\ -X_3 + X_6 + 4 >= 0 /\ -X_3 + 4 >= 0 /\ X_2 - X_3 + 4 >= 0 /\ X_1 - X_3 + 4 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 For symbol evalbinsearchStepSize2bb4in: X_5 - X_7 - 1 >= 0 /\ -X_6 + 4 >= 0 /\ -X_3 - X_6 + 8 >= 0 /\ X_2 - X_6 + 4 >= 0 /\ X_1 - X_6 + 4 >= 0 /\ -X_3 + X_6 + 4 >= 0 /\ -X_3 + 4 >= 0 /\ X_2 - X_3 + 4 >= 0 /\ X_1 - X_3 + 4 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 For symbol evalbinsearchStepSize2bb6in: X_5 - X_7 - 1 >= 0 /\ -X_6 + 4 >= 0 /\ -X_3 - X_6 + 8 >= 0 /\ X_2 - X_6 + 4 >= 0 /\ -X_2 - X_6 + 4 >= 0 /\ X_1 - X_6 + 3 >= 0 /\ -X_1 - X_6 + 5 >= 0 /\ -X_3 + X_6 + 4 >= 0 /\ -X_3 + 4 >= 0 /\ X_2 - X_3 + 4 >= 0 /\ -X_2 - X_3 + 4 >= 0 /\ X_1 - X_3 + 3 >= 0 /\ -X_1 - X_3 + 5 >= 0 /\ -X_2 >= 0 /\ X_1 - X_2 - 1 >= 0 /\ -X_1 - X_2 + 1 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 + 1 >= 0 /\ -X_1 + 1 >= 0 /\ X_1 - 1 >= 0 For symbol evalbinsearchStepSize2bb7in: -X_9 + 4 >= 0 /\ X_8 - X_9 + 4 >= 0 /\ -X_6 - X_9 + 8 >= 0 /\ -X_3 - X_9 + 8 >= 0 /\ X_2 - X_9 + 4 >= 0 /\ X_1 - X_9 + 4 >= 0 /\ -X_6 + X_9 + 4 >= 0 /\ -X_3 + X_9 + 4 >= 0 /\ X_2 - X_8 + 1 >= 0 /\ X_8 >= 0 /\ -X_6 + X_8 + 4 >= 0 /\ -X_3 + X_8 + 4 >= 0 /\ X_2 + X_8 >= 0 /\ -X_2 + X_8 >= 0 /\ X_1 + X_8 >= 0 /\ X_5 - X_7 - 1 >= 0 /\ -X_6 + 4 >= 0 /\ -X_3 - X_6 + 8 >= 0 /\ X_2 - X_6 + 4 >= 0 /\ X_1 - X_6 + 4 >= 0 /\ -X_3 + X_6 + 4 >= 0 /\ -X_3 + 4 >= 0 /\ X_2 - X_3 + 4 >= 0 /\ X_1 - X_3 + 4 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 For symbol evalbinsearchStepSize2bb9in: -X_5 + X_7 >= 0 /\ -X_6 + 4 >= 0 /\ -X_3 - X_6 + 8 >= 0 /\ X_2 - X_6 + 4 >= 0 /\ X_1 - X_6 + 4 >= 0 /\ -X_3 + X_6 + 4 >= 0 /\ -X_3 + 4 >= 0 /\ X_2 - X_3 + 4 >= 0 /\ X_1 - X_3 + 4 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 For symbol evalbinsearchStepSize2bbin: -X_3 + 4 >= 0 /\ X_2 - X_3 + 4 >= 0 /\ X_1 - X_3 + 4 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0 This yielded the following problem: 5: T: (?, 1) evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, h, i, d - i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= i ] (2, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (2, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= b + 1 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 3 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 1 >= a ] (2, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 2 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) [ -e + g >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e + 1 ] (?, 1) evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, h, i, d + i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d + i ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= b + 1 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 2 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= a ] (2, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 1 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= g + 1 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ 0 >= c + 1 /\ 0 >= j /\ 2*j >= c /\ c + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c >= 1 /\ j >= 0 /\ c >= 2*j /\ 2*j + 1 >= c ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, 0, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, c, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= b + 1 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ c >= 2 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= c ] (1, 1) evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(0, 0, 4, a, e, f, g, h, i) (1, 1) evalbinsearchStepSize2start(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) start location: evalbinsearchStepSize2start leaf cost: 5 Testing for unsatisfiable constraints removes the following transitions from problem 5: evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= b + 1 ] evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= b + 1 ] evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= b + 1 ] We thus obtain the following problem: 6: T: (?, 1) evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, h, i, d - i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= i ] (2, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (2, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 3 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 1 >= a ] (2, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 2 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) [ -e + g >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e + 1 ] (?, 1) evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, h, i, d + i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d + i ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 2 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= a ] (2, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 1 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= g + 1 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ 0 >= c + 1 /\ 0 >= j /\ 2*j >= c /\ c + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c >= 1 /\ j >= 0 /\ c >= 2*j /\ 2*j + 1 >= c ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, 0, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, c, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ c >= 2 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= c ] (1, 1) evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(0, 0, 4, a, e, f, g, h, i) (1, 1) evalbinsearchStepSize2start(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) start location: evalbinsearchStepSize2start leaf cost: 5 By chaining the transition evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] with all transitions in problem 6, the following new transition is obtained: evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, 1, j, d - j, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j ] We thus obtain the following problem: 7: T: (2, 2) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, 1, j, d - j, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j ] (?, 1) evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, h, i, d - i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= i ] (2, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 3 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 1 >= a ] (2, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 2 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) [ -e + g >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e + 1 ] (?, 1) evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, h, i, d + i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d + i ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 2 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= a ] (2, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 1 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= g + 1 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ 0 >= c + 1 /\ 0 >= j /\ 2*j >= c /\ c + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c >= 1 /\ j >= 0 /\ c >= 2*j /\ 2*j + 1 >= c ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, 0, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, c, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ c >= 2 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= c ] (1, 1) evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(0, 0, 4, a, e, f, g, h, i) (1, 1) evalbinsearchStepSize2start(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) start location: evalbinsearchStepSize2start leaf cost: 5 By chaining the transition evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, 1, j, d - j, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j ] with all transitions in problem 7, the following new transition is obtained: evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(1, 1, j, d - j, j', f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j /\ 2 >= 0 ] We thus obtain the following problem: 8: T: (2, 3) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(1, 1, j, d - j, j', f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j /\ 2 >= 0 ] (?, 1) evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, h, i, d - i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= i ] (2, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 3 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 1 >= a ] (2, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 2 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) [ -e + g >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e + 1 ] (?, 1) evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, h, i, d + i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d + i ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 2 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= a ] (2, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 1 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= g + 1 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ 0 >= c + 1 /\ 0 >= j /\ 2*j >= c /\ c + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c >= 1 /\ j >= 0 /\ c >= 2*j /\ 2*j + 1 >= c ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, 0, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, c, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ c >= 2 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= c ] (1, 1) evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(0, 0, 4, a, e, f, g, h, i) (1, 1) evalbinsearchStepSize2start(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) start location: evalbinsearchStepSize2start leaf cost: 5 By chaining the transition evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(1, 1, j, d - j, j', f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j /\ 2 >= 0 ] with all transitions in problem 8, the following new transition is obtained: evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(1, 1, j, d - j, j', f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j /\ 2 >= 0 /\ 1 >= 1 ] We thus obtain the following problem: 9: T: (2, 4) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(1, 1, j, d - j, j', f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j /\ 2 >= 0 /\ 1 >= 1 ] (?, 1) evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, h, i, d - i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= i ] (2, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 3 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 1 >= a ] (2, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 2 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) [ -e + g >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e + 1 ] (?, 1) evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, h, i, d + i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d + i ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 2 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= a ] (2, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 1 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= g + 1 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ 0 >= c + 1 /\ 0 >= j /\ 2*j >= c /\ c + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c >= 1 /\ j >= 0 /\ c >= 2*j /\ 2*j + 1 >= c ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, 0, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, c, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ c >= 2 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= c ] (1, 1) evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(0, 0, 4, a, e, f, g, h, i) (1, 1) evalbinsearchStepSize2start(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) start location: evalbinsearchStepSize2start leaf cost: 5 By chaining the transition evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] with all transitions in problem 9, the following new transition is obtained: evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, 1, j, d - j, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j ] We thus obtain the following problem: 10: T: (2, 2) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, 1, j, d - j, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j ] (2, 4) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(1, 1, j, d - j, j', f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j /\ 2 >= 0 /\ 1 >= 1 ] (?, 1) evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, h, i, d - i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= i ] (2, 1) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 3 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 1 >= a ] (2, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 2 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) [ -e + g >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e + 1 ] (?, 1) evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, h, i, d + i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d + i ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 2 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= a ] (2, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 1 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= g + 1 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ 0 >= c + 1 /\ 0 >= j /\ 2*j >= c /\ c + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c >= 1 /\ j >= 0 /\ c >= 2*j /\ 2*j + 1 >= c ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, 0, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, c, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ c >= 2 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= c ] (1, 1) evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(0, 0, 4, a, e, f, g, h, i) (1, 1) evalbinsearchStepSize2start(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) start location: evalbinsearchStepSize2start leaf cost: 5 By chaining the transition evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 ] with all transitions in problem 10, the following new transition is obtained: evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, 1, 0, d, e, f, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= 0 ] We thus obtain the following problem: 11: T: (2, 2) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, 1, 0, d, e, f, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= 0 ] (2, 2) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, 1, j, d - j, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j ] (2, 4) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(1, 1, j, d - j, j', f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j /\ 2 >= 0 /\ 1 >= 1 ] (?, 1) evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, h, i, d - i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= i ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 3 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 1 >= a ] (2, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 2 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) [ -e + g >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e + 1 ] (?, 1) evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, h, i, d + i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d + i ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 2 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= a ] (2, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 1 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= g + 1 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ 0 >= c + 1 /\ 0 >= j /\ 2*j >= c /\ c + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c >= 1 /\ j >= 0 /\ c >= 2*j /\ 2*j + 1 >= c ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, 0, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, c, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ c >= 2 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= c ] (1, 1) evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(0, 0, 4, a, e, f, g, h, i) (1, 1) evalbinsearchStepSize2start(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) start location: evalbinsearchStepSize2start leaf cost: 5 By chaining the transition evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, 1, 0, d, e, f, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= 0 ] with all transitions in problem 11, the following new transition is obtained: evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(1, 1, 0, d, j, f, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= 0 /\ 2 >= 0 /\ 0 >= 0 ] We thus obtain the following problem: 12: T: (2, 3) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(1, 1, 0, d, j, f, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= 0 /\ 2 >= 0 /\ 0 >= 0 ] (2, 2) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, 1, j, d - j, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j ] (2, 4) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(1, 1, j, d - j, j', f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j /\ 2 >= 0 /\ 1 >= 1 ] (?, 1) evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, h, i, d - i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= i ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 3 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 1 >= a ] (2, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 2 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) [ -e + g >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e + 1 ] (?, 1) evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, h, i, d + i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d + i ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 2 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= a ] (2, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 1 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= g + 1 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ 0 >= c + 1 /\ 0 >= j /\ 2*j >= c /\ c + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c >= 1 /\ j >= 0 /\ c >= 2*j /\ 2*j + 1 >= c ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, 0, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, c, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ c >= 2 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= c ] (1, 1) evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(0, 0, 4, a, e, f, g, h, i) (1, 1) evalbinsearchStepSize2start(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) start location: evalbinsearchStepSize2start leaf cost: 5 By chaining the transition evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(1, 1, 0, d, j, f, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= 0 /\ 2 >= 0 /\ 0 >= 0 ] with all transitions in problem 12, the following new transition is obtained: evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(1, 1, 0, d, j, f, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= 0 /\ 2 >= 0 /\ 0 >= 0 /\ 1 >= 1 ] We thus obtain the following problem: 13: T: (2, 4) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(1, 1, 0, d, j, f, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= 0 /\ 2 >= 0 /\ 0 >= 0 /\ 1 >= 1 ] (2, 2) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, 1, j, d - j, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j ] (2, 4) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(1, 1, j, d - j, j', f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j /\ 2 >= 0 /\ 1 >= 1 ] (?, 1) evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, h, i, d - i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= i ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 3 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 1 >= a ] (2, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 2 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) [ -e + g >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e + 1 ] (?, 1) evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, h, i, d + i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d + i ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 2 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= a ] (2, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 1 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= g + 1 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ 0 >= c + 1 /\ 0 >= j /\ 2*j >= c /\ c + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c >= 1 /\ j >= 0 /\ c >= 2*j /\ 2*j + 1 >= c ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, 0, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, c, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ c >= 2 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= c ] (1, 1) evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(0, 0, 4, a, e, f, g, h, i) (1, 1) evalbinsearchStepSize2start(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) start location: evalbinsearchStepSize2start leaf cost: 5 By chaining the transition evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(1, 1, 0, d, j, f, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= 0 /\ 2 >= 0 /\ 0 >= 0 /\ 1 >= 1 ] with all transitions in problem 13, the following new transition is obtained: evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(1, 1, 0, d, j, 0, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= 0 /\ 2 >= 0 /\ 0 >= 0 /\ 1 >= 1 /\ 0 = 0 ] We thus obtain the following problem: 14: T: (2, 5) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(1, 1, 0, d, j, 0, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= 0 /\ 2 >= 0 /\ 0 >= 0 /\ 1 >= 1 /\ 0 = 0 ] (2, 2) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, 1, j, d - j, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j ] (2, 4) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(1, 1, j, d - j, j', f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j /\ 2 >= 0 /\ 1 >= 1 ] (?, 1) evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, h, i, d - i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= i ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 3 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 1 >= a ] (2, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 2 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) [ -e + g >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e + 1 ] (?, 1) evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, h, i, d + i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d + i ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 2 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= a ] (2, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 1 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= g + 1 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ 0 >= c + 1 /\ 0 >= j /\ 2*j >= c /\ c + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c >= 1 /\ j >= 0 /\ c >= 2*j /\ 2*j + 1 >= c ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, 0, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, c, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ c >= 2 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= c ] (1, 1) evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(0, 0, 4, a, e, f, g, h, i) (1, 1) evalbinsearchStepSize2start(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) start location: evalbinsearchStepSize2start leaf cost: 5 By chaining the transition evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] with all transitions in problem 14, the following new transition is obtained: evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] We thus obtain the following problem: 15: T: (?, 2) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] (2, 5) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(1, 1, 0, d, j, 0, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= 0 /\ 2 >= 0 /\ 0 >= 0 /\ 1 >= 1 /\ 0 = 0 ] (2, 2) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, 1, j, d - j, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j ] (2, 4) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(1, 1, j, d - j, j', f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j /\ 2 >= 0 /\ 1 >= 1 ] (?, 1) evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, h, i, d - i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= i ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 3 ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 1 >= a ] (2, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 2 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) [ -e + g >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e + 1 ] (?, 1) evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, h, i, d + i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d + i ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 2 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= a ] (2, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 1 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= g + 1 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ 0 >= c + 1 /\ 0 >= j /\ 2*j >= c /\ c + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c >= 1 /\ j >= 0 /\ c >= 2*j /\ 2*j + 1 >= c ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, 0, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, c, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ c >= 2 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= c ] (1, 1) evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(0, 0, 4, a, e, f, g, h, i) (1, 1) evalbinsearchStepSize2start(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) start location: evalbinsearchStepSize2start leaf cost: 5 By chaining the transition evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 3 ] with all transitions in problem 15, the following new transition is obtained: evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 3 /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] We thus obtain the following problem: 16: T: (?, 2) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 3 /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] (?, 2) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] (2, 5) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(1, 1, 0, d, j, 0, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= 0 /\ 2 >= 0 /\ 0 >= 0 /\ 1 >= 1 /\ 0 = 0 ] (2, 2) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, 1, j, d - j, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j ] (2, 4) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(1, 1, j, d - j, j', f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j /\ 2 >= 0 /\ 1 >= 1 ] (?, 1) evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, h, i, d - i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= i ] (?, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 1 >= a ] (2, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 2 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) [ -e + g >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e + 1 ] (?, 1) evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, h, i, d + i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d + i ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 2 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= a ] (2, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 1 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= g + 1 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ 0 >= c + 1 /\ 0 >= j /\ 2*j >= c /\ c + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c >= 1 /\ j >= 0 /\ c >= 2*j /\ 2*j + 1 >= c ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, 0, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, c, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ c >= 2 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= c ] (1, 1) evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(0, 0, 4, a, e, f, g, h, i) (1, 1) evalbinsearchStepSize2start(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) start location: evalbinsearchStepSize2start leaf cost: 5 By chaining the transition evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 1 >= a ] with all transitions in problem 16, the following new transition is obtained: evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 1 >= a /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] We thus obtain the following problem: 17: T: (?, 2) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 1 >= a /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] (?, 2) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 3 /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] (?, 2) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] (2, 5) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(1, 1, 0, d, j, 0, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= 0 /\ 2 >= 0 /\ 0 >= 0 /\ 1 >= 1 /\ 0 = 0 ] (2, 2) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, 1, j, d - j, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j ] (2, 4) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(1, 1, j, d - j, j', f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j /\ 2 >= 0 /\ 1 >= 1 ] (?, 1) evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, h, i, d - i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= i ] (2, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 2 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) [ -e + g >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e + 1 ] (?, 1) evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, h, i, d + i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d + i ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 2 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= a ] (2, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 1 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= g + 1 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ 0 >= c + 1 /\ 0 >= j /\ 2*j >= c /\ c + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c >= 1 /\ j >= 0 /\ c >= 2*j /\ 2*j + 1 >= c ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, 0, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, c, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ c >= 2 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= c ] (1, 1) evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(0, 0, 4, a, e, f, g, h, i) (1, 1) evalbinsearchStepSize2start(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) start location: evalbinsearchStepSize2start leaf cost: 5 Testing for reachability in the complexity graph removes the following transition from problem 17: evalbinsearchStepSize2bb13in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, h, i, d - i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= i ] We thus obtain the following problem: 18: T: (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= c ] (2, 5) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(1, 1, 0, d, j, 0, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= 0 /\ 2 >= 0 /\ 0 >= 0 /\ 1 >= 1 /\ 0 = 0 ] (2, 2) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, 1, j, d - j, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j ] (2, 4) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(1, 1, j, d - j, j', f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j /\ 2 >= 0 /\ 1 >= 1 ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, h, i, d + i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d + i ] (?, 2) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 1 >= a /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] (?, 2) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 3 /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] (?, 2) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] (2, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 2 /\ b = 0 ] (2, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 1 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= a ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 2 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) [ -e + g >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e + 1 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, 0, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c = 0 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c >= 1 /\ j >= 0 /\ c >= 2*j /\ 2*j + 1 >= c ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ 0 >= c + 1 /\ 0 >= j /\ 2*j >= c /\ c + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= g + 1 ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, c, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ c >= 2 ] (1, 1) evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(0, 0, 4, a, e, f, g, h, i) (1, 1) evalbinsearchStepSize2start(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) start location: evalbinsearchStepSize2start leaf cost: 5 By chaining the transition evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 ] with all transitions in problem 18, the following new transition is obtained: evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, 1, 0, d, e, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d ] We thus obtain the following problem: 19: T: (2, 2) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, 1, 0, d, e, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= c ] (2, 5) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(1, 1, 0, d, j, 0, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= 0 /\ 2 >= 0 /\ 0 >= 0 /\ 1 >= 1 /\ 0 = 0 ] (2, 2) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, 1, j, d - j, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j ] (2, 4) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(1, 1, j, d - j, j', f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j /\ 2 >= 0 /\ 1 >= 1 ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, h, i, d + i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d + i ] (?, 2) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 1 >= a /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] (?, 2) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 3 /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] (?, 2) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] (2, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 2 /\ b = 0 ] (2, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 1 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= a ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 2 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) [ -e + g >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e + 1 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, 0, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c = 0 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c >= 1 /\ j >= 0 /\ c >= 2*j /\ 2*j + 1 >= c ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ 0 >= c + 1 /\ 0 >= j /\ 2*j >= c /\ c + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= g + 1 ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, c, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ c >= 2 ] (1, 1) evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(0, 0, 4, a, e, f, g, h, i) (1, 1) evalbinsearchStepSize2start(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) start location: evalbinsearchStepSize2start leaf cost: 5 By chaining the transition evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, 1, 0, d, e, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d ] with all transitions in problem 19, the following new transition is obtained: evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(2, 1, 0, d, j, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d /\ 6 >= 0 /\ 3 >= 0 /\ 2 >= 0 /\ 0 >= 0 ] We thus obtain the following problem: 20: T: (2, 3) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(2, 1, 0, d, j, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d /\ 6 >= 0 /\ 3 >= 0 /\ 2 >= 0 /\ 0 >= 0 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= c ] (2, 5) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(1, 1, 0, d, j, 0, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= 0 /\ 2 >= 0 /\ 0 >= 0 /\ 1 >= 1 /\ 0 = 0 ] (2, 2) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, 1, j, d - j, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j ] (2, 4) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(1, 1, j, d - j, j', f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j /\ 2 >= 0 /\ 1 >= 1 ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, h, i, d + i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d + i ] (?, 2) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 1 >= a /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] (?, 2) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 3 /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] (?, 2) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] (2, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 2 /\ b = 0 ] (2, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 1 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= a ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 2 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) [ -e + g >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e + 1 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, 0, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c = 0 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c >= 1 /\ j >= 0 /\ c >= 2*j /\ 2*j + 1 >= c ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ 0 >= c + 1 /\ 0 >= j /\ 2*j >= c /\ c + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= g + 1 ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, c, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ c >= 2 ] (1, 1) evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(0, 0, 4, a, e, f, g, h, i) (1, 1) evalbinsearchStepSize2start(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) start location: evalbinsearchStepSize2start leaf cost: 5 By chaining the transition evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(2, 1, 0, d, j, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d /\ 6 >= 0 /\ 3 >= 0 /\ 2 >= 0 /\ 0 >= 0 ] with all transitions in problem 20, the following new transition is obtained: evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(2, 1, 0, d, j, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d /\ 6 >= 0 /\ 3 >= 0 /\ 2 >= 0 /\ 0 >= 0 /\ 1 >= 1 ] We thus obtain the following problem: 21: T: (2, 4) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(2, 1, 0, d, j, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d /\ 6 >= 0 /\ 3 >= 0 /\ 2 >= 0 /\ 0 >= 0 /\ 1 >= 1 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= c ] (2, 5) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(1, 1, 0, d, j, 0, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= 0 /\ 2 >= 0 /\ 0 >= 0 /\ 1 >= 1 /\ 0 = 0 ] (2, 2) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, 1, j, d - j, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j ] (2, 4) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(1, 1, j, d - j, j', f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j /\ 2 >= 0 /\ 1 >= 1 ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, h, i, d + i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d + i ] (?, 2) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 1 >= a /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] (?, 2) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 3 /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] (?, 2) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] (2, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 2 /\ b = 0 ] (2, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 1 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= a ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 2 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) [ -e + g >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e + 1 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, 0, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c = 0 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c >= 1 /\ j >= 0 /\ c >= 2*j /\ 2*j + 1 >= c ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ 0 >= c + 1 /\ 0 >= j /\ 2*j >= c /\ c + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= g + 1 ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, c, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ c >= 2 ] (1, 1) evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(0, 0, 4, a, e, f, g, h, i) (1, 1) evalbinsearchStepSize2start(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) start location: evalbinsearchStepSize2start leaf cost: 5 By chaining the transition evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(2, 1, 0, d, j, f, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d /\ 6 >= 0 /\ 3 >= 0 /\ 2 >= 0 /\ 0 >= 0 /\ 1 >= 1 ] with all transitions in problem 21, the following new transition is obtained: evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(2, 1, 0, d, j, 0, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d /\ 6 >= 0 /\ 3 >= 0 /\ 2 >= 0 /\ 0 >= 0 /\ 1 >= 1 /\ 0 = 0 ] We thus obtain the following problem: 22: T: (2, 5) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(2, 1, 0, d, j, 0, g, 1, 0) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d /\ 6 >= 0 /\ 3 >= 0 /\ 2 >= 0 /\ 0 >= 0 /\ 1 >= 1 /\ 0 = 0 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= c ] (2, 5) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(1, 1, 0, d, j, 0, g, 1, 0) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f = 0 /\ 4 >= 0 /\ 5 >= 0 /\ -f + 8 >= 0 /\ -c + 8 >= 0 /\ b + 4 >= 0 /\ a + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= 0 /\ 2 >= 0 /\ 0 >= 0 /\ 1 >= 1 /\ 0 = 0 ] (2, 2) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, 1, j, d - j, e, f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j ] (2, 4) evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(1, 1, j, d - j, j', f, g, 1, j) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 2 >= 0 /\ -a - f + 6 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 2 >= 0 /\ -a - c + 6 >= 0 /\ -b >= 0 /\ a - b - 2 >= 0 /\ -a - b + 2 >= 0 /\ b >= 0 /\ a + b - 2 >= 0 /\ -a + b + 2 >= 0 /\ -a + 2 >= 0 /\ a - 2 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j /\ -j + 4 >= 0 /\ -j + 5 >= 0 /\ -f - j + 8 >= 0 /\ -c - j + 8 >= 0 /\ b - j + 4 >= 0 /\ a - j + 4 >= 0 /\ -f + j + 4 >= 0 /\ -c + j + 4 >= 0 /\ 1 >= 0 /\ -f + 5 >= 0 /\ -c + 5 >= 0 /\ b + 1 >= 0 /\ -b + 1 >= 0 /\ a + 1 >= 0 /\ a - f + 4 >= 0 /\ a - c + 4 >= 0 /\ a + b >= 0 /\ a >= 0 /\ d >= j /\ 2 >= 0 /\ 1 >= 1 ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ f >= 1 /\ j >= 0 /\ f >= 2*j /\ 2*j + 1 >= f ] (2, 1) evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, 1, j) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ -b - f + 4 >= 0 /\ a - f + 3 >= 0 /\ -a - f + 5 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ -b - c + 4 >= 0 /\ a - c + 3 >= 0 /\ -a - c + 5 >= 0 /\ -b >= 0 /\ a - b - 1 >= 0 /\ -a - b + 1 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ 0 >= f + 1 /\ 0 >= j /\ 2*j >= f /\ f + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(2, h, i, d + i, e, f, g, h, i) [ -i + 4 >= 0 /\ h - i + 4 >= 0 /\ -f - i + 8 >= 0 /\ -c - i + 8 >= 0 /\ b - i + 4 >= 0 /\ a - i + 4 >= 0 /\ -f + i + 4 >= 0 /\ -c + i + 4 >= 0 /\ b - h + 1 >= 0 /\ h >= 0 /\ -f + h + 4 >= 0 /\ -c + h + 4 >= 0 /\ b + h >= 0 /\ -b + h >= 0 /\ a + h >= 0 /\ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 255 >= d + i ] (?, 2) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 1 >= a /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] (?, 2) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 3 /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] (?, 2) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(1, b, f, d - f, e, f, g, b, f) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 /\ -2*f + 8 >= 0 /\ 4 >= 0 /\ 1 >= 0 /\ -f + b + 4 >= 0 /\ -c + b + 4 >= 0 /\ 2*b >= 0 /\ 0 >= 0 /\ d >= f ] (2, 1) evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb12in(a, b, c, d, e, f, g, h, i) [ -e + g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 2 /\ b = 0 ] (2, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb6in(a, b, c, d, e, f, g, h, i) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a = 1 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ 0 >= a ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ a >= 2 ] (?, 1) evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb7in(a, b, c, d, e, f, g, b, f) [ e - g - 1 >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb10in(a, b, c, d, e, f, g, h, i) [ -e + g >= 0 /\ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e + 1 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, 0, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c = 0 ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ c >= 1 /\ j >= 0 /\ c >= 2*j /\ 2*j + 1 >= c ] (?, 1) evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, j, g, h, i) [ -c + 4 >= 0 /\ b - c + 3 >= 0 /\ a - c + 4 >= 0 /\ b - 1 >= 0 /\ a + b - 1 >= 0 /\ a >= 0 /\ 0 >= c + 1 /\ 0 >= j /\ 2*j >= c /\ c + 1 >= 2*j ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb4in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ e >= g + 1 ] (?, 1) evalbinsearchStepSize2bb3in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb9in(a, b, c, d, e, f, g, h, i) [ -f + 4 >= 0 /\ -c - f + 8 >= 0 /\ b - f + 4 >= 0 /\ a - f + 4 >= 0 /\ -c + f + 4 >= 0 /\ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ g >= e ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb2in(a, b, c, d, e, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b >= 1 ] (?, 1) evalbinsearchStepSize2bb1in(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb3in(a, b, c, d, e, c, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ b = 0 ] (?, 1) evalbinsearchStepSize2bbin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bb1in(a, b, c, d, j, f, g, h, i) [ -c + 4 >= 0 /\ b - c + 4 >= 0 /\ a - c + 4 >= 0 /\ b >= 0 /\ a + b >= 0 /\ a >= 0 /\ c >= 2 ] (1, 1) evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2bbin(0, 0, 4, a, e, f, g, h, i) (1, 1) evalbinsearchStepSize2start(a, b, c, d, e, f, g, h, i) -> evalbinsearchStepSize2entryin(a, b, c, d, e, f, g, h, i) start location: evalbinsearchStepSize2start leaf cost: 5 Complexity upper bound ? Time: 13.338 sec (SMT: 9.535 sec)