YES(?, 1157351968) Initial complexity problem: 1: T: (?, 1) f30(a, b, c, d, e, f, g, h, i, j) -> f31(a, b, c, d, e, f, g, h, i, j) [ 0 >= a + 1 ] (?, 1) f30(a, b, c, d, e, f, g, h, i, j) -> f31(a, b, c, d, e, f, g, h, i, j) [ a >= 1 ] (?, 1) f36(a, b, c, d, e, f, g, h, i, j) -> f37(a, b, c, d, e, f, g, h, i, j) [ 0 >= a + 1 ] (?, 1) f36(a, b, c, d, e, f, g, h, i, j) -> f37(a, b, c, d, e, f, g, h, i, j) [ a >= 1 ] (?, 1) f37(a, b, c, d, e, f, g, h, i, j) -> f38(a, b, c, d, e, f, g, h, i, j) [ b + k >= c + l + 1 ] (?, 1) f37(a, b, c, d, e, f, g, h, i, j) -> f38(a, b, c, d, e, f, g, h, i, j) [ c + k >= b + l + 1 ] (1, 1) f0(a, b, c, d, e, f, g, h, i, j) -> f10(1, b, 0, 9, 1, k, g, h, i, j) (?, 1) f10(a, b, c, d, e, f, g, h, i, j) -> f10(a, b, c + 1, d, e, f, g, h, i, j) [ d >= c + 1 ] (?, 1) f16(a, b, c, d, e, f, g, h, i, j) -> f19(a, b, c, d, e, f, g, h, i, j) [ 0 >= e + 1 /\ d >= c + 1 ] (?, 1) f16(a, b, c, d, e, f, g, h, i, j) -> f19(a, b, c, d, e, f, g, h, i, j) [ e >= 1 /\ d >= c + 1 ] (?, 1) f19(a, b, c, d, e, f, g, h, i, j) -> f27(a, 0, c, d, 1, f, 1, h, i, j) [ d >= k + 1 ] (?, 1) f19(a, b, c, d, e, f, g, h, i, j) -> f27(a, 0, c, d, 0, f, 0, h, i, j) (?, 1) f19(a, b, c, d, e, f, g, h, i, j) -> f27(a, 0, c, d, 0, f, 0, h, i, j) [ 0 >= k + 1 ] (?, 1) f16(a, b, c, d, e, f, g, h, i, j) -> f27(a, 0, c, d, 0, f, 0, h, i, j) [ d >= c + 1 /\ e = 0 ] (?, 1) f27(a, b, c, d, e, f, g, h, i, j) -> f30(a, b, c, d, e, f, g, h, i, j) [ d >= b + 1 /\ b >= c + 1 ] (?, 1) f27(a, b, c, d, e, f, g, h, i, j) -> f30(a, b, c, d, e, f, g, h, i, j) [ c >= b + 1 /\ d >= b + 1 ] (?, 1) f31(a, b, c, d, e, f, g, h, i, j) -> f36(1, b, c, d, e, f, g, 1, i, j) [ k >= l + 1 ] (?, 1) f31(a, b, c, d, e, f, g, h, i, j) -> f36(1, b, c, d, e, f, g, 1, i, j) (?, 1) f31(a, b, c, d, e, f, g, h, i, j) -> f36(0, b, c, d, e, f, g, 0, i, j) (?, 1) f30(a, b, c, d, e, f, g, h, i, j) -> f36(0, b, c, d, e, f, g, 0, i, j) [ a = 0 ] (?, 1) f27(a, b, c, d, e, f, g, h, i, j) -> f27(a, c + 1, c, d, e, f, g, h, i, j) [ d >= b + 1 /\ c = b ] (?, 1) f38(a, b, c, d, e, f, g, h, i, j) -> f27(1, b + 1, c, d, e, f, g, h, 1, j) [ b + k >= c + l + 1 ] (?, 1) f38(a, b, c, d, e, f, g, h, i, j) -> f27(1, b + 1, c, d, e, f, g, h, 1, j) [ c + k >= b + l + 1 ] (?, 1) f38(a, b, c, d, e, f, g, h, i, j) -> f27(0, b + 1, c, d, e, f, g, h, 0, j) (?, 1) f37(a, b, c, d, e, f, g, h, i, j) -> f27(0, b + 1, c, d, e, f, g, h, 0, j) (?, 1) f36(a, b, c, d, e, f, g, h, i, j) -> f27(0, b + 1, c, d, e, f, g, h, 0, j) [ a = 0 ] (?, 1) f49(a, b, c, d, e, f, g, h, i, j) -> f56(a, b, c, d, e, f, g, h, i, 0) [ 0 >= a + 1 ] (?, 1) f49(a, b, c, d, e, f, g, h, i, j) -> f56(a, b, c, d, e, f, g, h, i, 0) [ a >= 1 ] (?, 1) f49(a, b, c, d, e, f, g, h, i, j) -> f56(0, b, c, d, e, f, g, h, i, 1) [ a = 0 ] (?, 1) f27(a, b, c, d, e, f, g, h, i, j) -> f16(a, b, c + 1, d, e, f, g, h, i, j) [ b >= d ] (?, 1) f16(a, b, c, d, e, f, g, h, i, j) -> f49(a, b, c, d, e, f, g, h, i, j) [ 0 >= e + 1 /\ c >= d ] (?, 1) f16(a, b, c, d, e, f, g, h, i, j) -> f49(a, b, c, d, e, f, g, h, i, j) [ e >= 1 /\ c >= d ] (?, 1) f16(a, b, c, d, e, f, g, h, i, j) -> f56(a, b, c, d, 0, f, g, h, i, 1) [ c >= d /\ e = 0 ] (?, 1) f10(a, b, c, d, e, f, g, h, i, j) -> f16(a, b, 0, d, e, f, g, h, i, j) [ c >= d ] start location: f0 leaf cost: 0 Slicing away variables that do not contribute to conditions from problem 1 leaves variables [a, b, c, d, e]. We thus obtain the following problem: 2: T: (?, 1) f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ c >= d ] (?, 1) f16(a, b, c, d, e) -> f56(a, b, c, d, 0) [ c >= d /\ e = 0 ] (?, 1) f16(a, b, c, d, e) -> f49(a, b, c, d, e) [ e >= 1 /\ c >= d ] (?, 1) f16(a, b, c, d, e) -> f49(a, b, c, d, e) [ 0 >= e + 1 /\ c >= d ] (?, 1) f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ b >= d ] (?, 1) f49(a, b, c, d, e) -> f56(0, b, c, d, e) [ a = 0 ] (?, 1) f49(a, b, c, d, e) -> f56(a, b, c, d, e) [ a >= 1 ] (?, 1) f49(a, b, c, d, e) -> f56(a, b, c, d, e) [ 0 >= a + 1 ] (?, 1) f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ a = 0 ] (?, 1) f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e) (?, 1) f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e) (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ c + k >= b + l + 1 ] (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ b + k >= c + l + 1 ] (?, 1) f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ d >= b + 1 /\ c = b ] (?, 1) f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ a = 0 ] (?, 1) f31(a, b, c, d, e) -> f36(0, b, c, d, e) (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ k >= l + 1 ] (?, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ c >= b + 1 /\ d >= b + 1 ] (?, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ d >= b + 1 /\ b >= c + 1 ] (?, 1) f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ d >= c + 1 /\ e = 0 ] (?, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ 0 >= k + 1 ] (?, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) (?, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ d >= k + 1 ] (?, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ e >= 1 /\ d >= c + 1 ] (?, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ 0 >= e + 1 /\ d >= c + 1 ] (?, 1) f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ d >= c + 1 ] (1, 1) f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1) (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ c + k >= b + l + 1 ] (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ b + k >= c + l + 1 ] (?, 1) f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ a >= 1 ] (?, 1) f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ 0 >= a + 1 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ a >= 1 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ 0 >= a + 1 ] start location: f0 leaf cost: 0 Repeatedly removing leaves of the complexity graph in problem 2 produces the following problem: 3: T: (?, 1) f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ c >= d ] (?, 1) f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ b >= d ] (?, 1) f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ a = 0 ] (?, 1) f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e) (?, 1) f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e) (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ c + k >= b + l + 1 ] (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ b + k >= c + l + 1 ] (?, 1) f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ d >= b + 1 /\ c = b ] (?, 1) f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ a = 0 ] (?, 1) f31(a, b, c, d, e) -> f36(0, b, c, d, e) (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ k >= l + 1 ] (?, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ c >= b + 1 /\ d >= b + 1 ] (?, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ d >= b + 1 /\ b >= c + 1 ] (?, 1) f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ d >= c + 1 /\ e = 0 ] (?, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ 0 >= k + 1 ] (?, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) (?, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ d >= k + 1 ] (?, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ e >= 1 /\ d >= c + 1 ] (?, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ 0 >= e + 1 /\ d >= c + 1 ] (?, 1) f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ d >= c + 1 ] (1, 1) f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1) (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ c + k >= b + l + 1 ] (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ b + k >= c + l + 1 ] (?, 1) f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ a >= 1 ] (?, 1) f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ 0 >= a + 1 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ a >= 1 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ 0 >= a + 1 ] start location: f0 leaf cost: 6 Testing for reachability in the complexity graph removes the following transition from problem 3: f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ 0 >= a + 1 ] We thus obtain the following problem: 4: T: (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ b + k >= c + l + 1 ] (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ c + k >= b + l + 1 ] (?, 1) f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e) (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ b + k >= c + l + 1 ] (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ c + k >= b + l + 1 ] (?, 1) f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e) (?, 1) f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ a >= 1 ] (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ k >= l + 1 ] (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) (?, 1) f31(a, b, c, d, e) -> f36(0, b, c, d, e) (?, 1) f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ a = 0 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ 0 >= a + 1 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ a >= 1 ] (?, 1) f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ a = 0 ] (?, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ d >= k + 1 ] (?, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) (?, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ 0 >= k + 1 ] (?, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ d >= b + 1 /\ b >= c + 1 ] (?, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ c >= b + 1 /\ d >= b + 1 ] (?, 1) f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ d >= b + 1 /\ c = b ] (?, 1) f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ b >= d ] (?, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ 0 >= e + 1 /\ d >= c + 1 ] (?, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ e >= 1 /\ d >= c + 1 ] (?, 1) f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ d >= c + 1 /\ e = 0 ] (?, 1) f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ c >= d ] (?, 1) f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ d >= c + 1 ] (1, 1) f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1) start location: f0 leaf cost: 6 A polynomial rank function with Pol(f38) = -3 Pol(f27) = -3 Pol(f37) = -3 Pol(f36) = -3 Pol(f31) = -3 Pol(f30) = -3 Pol(f19) = -3 Pol(f16) = -3 Pol(f10) = 1 Pol(f0) = 1 orients all transitions weakly and the transition f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ c >= d ] strictly and produces the following problem: 5: T: (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ b + k >= c + l + 1 ] (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ c + k >= b + l + 1 ] (?, 1) f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e) (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ b + k >= c + l + 1 ] (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ c + k >= b + l + 1 ] (?, 1) f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e) (?, 1) f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ a >= 1 ] (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ k >= l + 1 ] (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) (?, 1) f31(a, b, c, d, e) -> f36(0, b, c, d, e) (?, 1) f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ a = 0 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ 0 >= a + 1 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ a >= 1 ] (?, 1) f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ a = 0 ] (?, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ d >= k + 1 ] (?, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) (?, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ 0 >= k + 1 ] (?, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ d >= b + 1 /\ b >= c + 1 ] (?, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ c >= b + 1 /\ d >= b + 1 ] (?, 1) f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ d >= b + 1 /\ c = b ] (?, 1) f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ b >= d ] (?, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ 0 >= e + 1 /\ d >= c + 1 ] (?, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ e >= 1 /\ d >= c + 1 ] (?, 1) f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ d >= c + 1 /\ e = 0 ] (1, 1) f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ c >= d ] (?, 1) f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ d >= c + 1 ] (1, 1) f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1) start location: f0 leaf cost: 6 A polynomial rank function with Pol(f38) = -3*V_3 + 3*V_4 - 4 Pol(f27) = -3*V_3 + 3*V_4 - 4 Pol(f37) = -3*V_3 + 3*V_4 - 4 Pol(f36) = -3*V_3 + 3*V_4 - 4 Pol(f31) = -3*V_3 + 3*V_4 - 4 Pol(f30) = -3*V_3 + 3*V_4 - 4 Pol(f19) = -3*V_3 + 3*V_4 - 3 Pol(f16) = -3*V_3 + 3*V_4 - 2 Pol(f10) = 3*V_4 - 2 Pol(f0) = 25 orients all transitions weakly and the transition f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ 0 >= e + 1 /\ d >= c + 1 ] strictly and produces the following problem: 6: T: (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ b + k >= c + l + 1 ] (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ c + k >= b + l + 1 ] (?, 1) f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e) (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ b + k >= c + l + 1 ] (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ c + k >= b + l + 1 ] (?, 1) f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e) (?, 1) f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ a >= 1 ] (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ k >= l + 1 ] (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) (?, 1) f31(a, b, c, d, e) -> f36(0, b, c, d, e) (?, 1) f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ a = 0 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ 0 >= a + 1 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ a >= 1 ] (?, 1) f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ a = 0 ] (?, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ d >= k + 1 ] (?, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) (?, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ 0 >= k + 1 ] (?, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ d >= b + 1 /\ b >= c + 1 ] (?, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ c >= b + 1 /\ d >= b + 1 ] (?, 1) f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ d >= b + 1 /\ c = b ] (?, 1) f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ b >= d ] (25, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ 0 >= e + 1 /\ d >= c + 1 ] (?, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ e >= 1 /\ d >= c + 1 ] (?, 1) f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ d >= c + 1 /\ e = 0 ] (1, 1) f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ c >= d ] (?, 1) f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ d >= c + 1 ] (1, 1) f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1) start location: f0 leaf cost: 6 A polynomial rank function with Pol(f38) = -3*V_3 + 3*V_4 - 2 Pol(f27) = -3*V_3 + 3*V_4 - 2 Pol(f37) = -3*V_3 + 3*V_4 - 2 Pol(f36) = -3*V_3 + 3*V_4 - 2 Pol(f31) = -3*V_3 + 3*V_4 - 2 Pol(f30) = -3*V_3 + 3*V_4 - 2 Pol(f19) = -3*V_3 + 3*V_4 - 1 Pol(f16) = -3*V_3 + 3*V_4 Pol(f10) = 3*V_4 Pol(f0) = 27 orients all transitions weakly and the transition f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ d >= c + 1 /\ e = 0 ] strictly and produces the following problem: 7: T: (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ b + k >= c + l + 1 ] (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ c + k >= b + l + 1 ] (?, 1) f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e) (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ b + k >= c + l + 1 ] (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ c + k >= b + l + 1 ] (?, 1) f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e) (?, 1) f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ a >= 1 ] (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ k >= l + 1 ] (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) (?, 1) f31(a, b, c, d, e) -> f36(0, b, c, d, e) (?, 1) f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ a = 0 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ 0 >= a + 1 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ a >= 1 ] (?, 1) f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ a = 0 ] (?, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ d >= k + 1 ] (?, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) (?, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ 0 >= k + 1 ] (?, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ d >= b + 1 /\ b >= c + 1 ] (?, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ c >= b + 1 /\ d >= b + 1 ] (?, 1) f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ d >= b + 1 /\ c = b ] (?, 1) f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ b >= d ] (25, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ 0 >= e + 1 /\ d >= c + 1 ] (?, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ e >= 1 /\ d >= c + 1 ] (27, 1) f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ d >= c + 1 /\ e = 0 ] (1, 1) f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ c >= d ] (?, 1) f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ d >= c + 1 ] (1, 1) f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1) start location: f0 leaf cost: 6 A polynomial rank function with Pol(f38) = -3*V_3 + 3*V_4 - 4 Pol(f27) = -3*V_3 + 3*V_4 - 4 Pol(f37) = -3*V_3 + 3*V_4 - 4 Pol(f36) = -3*V_3 + 3*V_4 - 4 Pol(f31) = -3*V_3 + 3*V_4 - 4 Pol(f30) = -3*V_3 + 3*V_4 - 4 Pol(f19) = -3*V_3 + 3*V_4 - 3 Pol(f16) = -3*V_3 + 3*V_4 - 2 Pol(f10) = 3*V_4 - 2 Pol(f0) = 25 orients all transitions weakly and the transition f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ e >= 1 /\ d >= c + 1 ] strictly and produces the following problem: 8: T: (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ b + k >= c + l + 1 ] (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ c + k >= b + l + 1 ] (?, 1) f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e) (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ b + k >= c + l + 1 ] (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ c + k >= b + l + 1 ] (?, 1) f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e) (?, 1) f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ a >= 1 ] (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ k >= l + 1 ] (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) (?, 1) f31(a, b, c, d, e) -> f36(0, b, c, d, e) (?, 1) f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ a = 0 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ 0 >= a + 1 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ a >= 1 ] (?, 1) f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ a = 0 ] (?, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ d >= k + 1 ] (?, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) (?, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ 0 >= k + 1 ] (?, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ d >= b + 1 /\ b >= c + 1 ] (?, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ c >= b + 1 /\ d >= b + 1 ] (?, 1) f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ d >= b + 1 /\ c = b ] (?, 1) f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ b >= d ] (25, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ 0 >= e + 1 /\ d >= c + 1 ] (25, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ e >= 1 /\ d >= c + 1 ] (27, 1) f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ d >= c + 1 /\ e = 0 ] (1, 1) f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ c >= d ] (?, 1) f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ d >= c + 1 ] (1, 1) f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1) start location: f0 leaf cost: 6 Repeatedly propagating knowledge in problem 8 produces the following problem: 9: T: (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ b + k >= c + l + 1 ] (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ c + k >= b + l + 1 ] (?, 1) f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e) (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ b + k >= c + l + 1 ] (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ c + k >= b + l + 1 ] (?, 1) f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e) (?, 1) f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ a >= 1 ] (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ k >= l + 1 ] (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) (?, 1) f31(a, b, c, d, e) -> f36(0, b, c, d, e) (?, 1) f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ a = 0 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ 0 >= a + 1 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ a >= 1 ] (?, 1) f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ a = 0 ] (50, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ d >= k + 1 ] (50, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) (50, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ 0 >= k + 1 ] (?, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ d >= b + 1 /\ b >= c + 1 ] (?, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ c >= b + 1 /\ d >= b + 1 ] (?, 1) f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ d >= b + 1 /\ c = b ] (?, 1) f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ b >= d ] (25, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ 0 >= e + 1 /\ d >= c + 1 ] (25, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ e >= 1 /\ d >= c + 1 ] (27, 1) f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ d >= c + 1 /\ e = 0 ] (1, 1) f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ c >= d ] (?, 1) f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ d >= c + 1 ] (1, 1) f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1) start location: f0 leaf cost: 6 A polynomial rank function with Pol(f38) = 1 Pol(f27) = 1 Pol(f37) = 1 Pol(f36) = 1 Pol(f31) = 1 Pol(f30) = 1 Pol(f16) = 0 Pol(f10) = -1 and size complexities S("f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1)", 0-0) = 1 S("f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1)", 0-1) = b S("f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1)", 0-2) = 0 S("f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1)", 0-3) = 9 S("f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1)", 0-4) = 1 S("f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ d >= c + 1 ]", 0-0) = 1 S("f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ d >= c + 1 ]", 0-1) = b S("f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ d >= c + 1 ]", 0-2) = ? S("f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ d >= c + 1 ]", 0-3) = 9 S("f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ d >= c + 1 ]", 0-4) = 1 S("f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ c >= d ]", 0-0) = 1 S("f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ c >= d ]", 0-1) = b S("f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ c >= d ]", 0-2) = 0 S("f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ c >= d ]", 0-3) = 9 S("f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ c >= d ]", 0-4) = 1 S("f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ d >= c + 1 /\\ e = 0 ]", 0-0) = 1 S("f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ d >= c + 1 /\\ e = 0 ]", 0-1) = 0 S("f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ d >= c + 1 /\\ e = 0 ]", 0-2) = ? S("f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ d >= c + 1 /\\ e = 0 ]", 0-3) = 9 S("f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ d >= c + 1 /\\ e = 0 ]", 0-4) = 0 S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ e >= 1 /\\ d >= c + 1 ]", 0-0) = 1 S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ e >= 1 /\\ d >= c + 1 ]", 0-1) = ? S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ e >= 1 /\\ d >= c + 1 ]", 0-2) = ? S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ e >= 1 /\\ d >= c + 1 ]", 0-3) = 9 S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ e >= 1 /\\ d >= c + 1 ]", 0-4) = 1 S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ 0 >= e + 1 /\\ d >= c + 1 ]", 0-0) = 1 S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ 0 >= e + 1 /\\ d >= c + 1 ]", 0-1) = ? S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ 0 >= e + 1 /\\ d >= c + 1 ]", 0-2) = ? S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ 0 >= e + 1 /\\ d >= c + 1 ]", 0-3) = 9 S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ 0 >= e + 1 /\\ d >= c + 1 ]", 0-4) = 1 S("f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ b >= d ]", 0-0) = 1 S("f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ b >= d ]", 0-1) = ? S("f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ b >= d ]", 0-2) = ? S("f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ b >= d ]", 0-3) = 9 S("f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ b >= d ]", 0-4) = 1 S("f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ d >= b + 1 /\\ c = b ]", 0-0) = 1 S("f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ d >= b + 1 /\\ c = b ]", 0-1) = ? S("f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ d >= b + 1 /\\ c = b ]", 0-2) = ? S("f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ d >= b + 1 /\\ c = b ]", 0-3) = 9 S("f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ d >= b + 1 /\\ c = b ]", 0-4) = 1 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ c >= b + 1 /\\ d >= b + 1 ]", 0-0) = 1 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ c >= b + 1 /\\ d >= b + 1 ]", 0-1) = ? S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ c >= b + 1 /\\ d >= b + 1 ]", 0-2) = ? S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ c >= b + 1 /\\ d >= b + 1 ]", 0-3) = 9 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ c >= b + 1 /\\ d >= b + 1 ]", 0-4) = 1 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ d >= b + 1 /\\ b >= c + 1 ]", 0-0) = 1 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ d >= b + 1 /\\ b >= c + 1 ]", 0-1) = ? S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ d >= b + 1 /\\ b >= c + 1 ]", 0-2) = ? S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ d >= b + 1 /\\ b >= c + 1 ]", 0-3) = 9 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ d >= b + 1 /\\ b >= c + 1 ]", 0-4) = 1 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ 0 >= k + 1 ]", 0-0) = 1 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ 0 >= k + 1 ]", 0-1) = 0 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ 0 >= k + 1 ]", 0-2) = ? S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ 0 >= k + 1 ]", 0-3) = 9 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ 0 >= k + 1 ]", 0-4) = 0 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0)", 0-0) = 1 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0)", 0-1) = 0 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0)", 0-2) = ? S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0)", 0-3) = 9 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0)", 0-4) = 0 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ d >= k + 1 ]", 0-0) = 1 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ d >= k + 1 ]", 0-1) = 0 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ d >= k + 1 ]", 0-2) = ? S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ d >= k + 1 ]", 0-3) = 9 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ d >= k + 1 ]", 0-4) = 1 S("f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ a = 0 ]", 0-0) = 0 S("f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ a = 0 ]", 0-1) = ? S("f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ a = 0 ]", 0-2) = ? S("f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ a = 0 ]", 0-3) = 9 S("f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ a = 0 ]", 0-4) = 1 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ a >= 1 ]", 0-0) = 1 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ a >= 1 ]", 0-1) = ? S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ a >= 1 ]", 0-2) = ? S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ a >= 1 ]", 0-3) = 9 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ a >= 1 ]", 0-4) = 1 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ 0 >= a + 1 ]", 0-0) = 1 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ 0 >= a + 1 ]", 0-1) = ? S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ 0 >= a + 1 ]", 0-2) = ? S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ 0 >= a + 1 ]", 0-3) = 9 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ 0 >= a + 1 ]", 0-4) = 1 S("f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ a = 0 ]", 0-0) = 0 S("f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ a = 0 ]", 0-1) = ? S("f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ a = 0 ]", 0-2) = ? S("f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ a = 0 ]", 0-3) = 9 S("f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ a = 0 ]", 0-4) = 1 S("f31(a, b, c, d, e) -> f36(0, b, c, d, e)", 0-0) = 0 S("f31(a, b, c, d, e) -> f36(0, b, c, d, e)", 0-1) = ? S("f31(a, b, c, d, e) -> f36(0, b, c, d, e)", 0-2) = ? S("f31(a, b, c, d, e) -> f36(0, b, c, d, e)", 0-3) = 9 S("f31(a, b, c, d, e) -> f36(0, b, c, d, e)", 0-4) = 1 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e)", 0-0) = 1 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e)", 0-1) = ? S("f31(a, b, c, d, e) -> f36(1, b, c, d, e)", 0-2) = ? S("f31(a, b, c, d, e) -> f36(1, b, c, d, e)", 0-3) = 9 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e)", 0-4) = 1 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ k >= l + 1 ]", 0-0) = 1 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ k >= l + 1 ]", 0-1) = ? S("f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ k >= l + 1 ]", 0-2) = ? S("f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ k >= l + 1 ]", 0-3) = 9 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ k >= l + 1 ]", 0-4) = 1 S("f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ a >= 1 ]", 0-0) = 1 S("f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ a >= 1 ]", 0-1) = ? S("f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ a >= 1 ]", 0-2) = ? S("f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ a >= 1 ]", 0-3) = 9 S("f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ a >= 1 ]", 0-4) = 1 S("f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e)", 0-0) = 0 S("f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e)", 0-1) = ? S("f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e)", 0-2) = ? S("f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e)", 0-3) = 9 S("f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e)", 0-4) = 1 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ c + k >= b + l + 1 ]", 0-0) = 1 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ c + k >= b + l + 1 ]", 0-1) = ? S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ c + k >= b + l + 1 ]", 0-2) = ? S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ c + k >= b + l + 1 ]", 0-3) = 9 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ c + k >= b + l + 1 ]", 0-4) = 1 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ b + k >= c + l + 1 ]", 0-0) = 1 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ b + k >= c + l + 1 ]", 0-1) = ? S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ b + k >= c + l + 1 ]", 0-2) = ? S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ b + k >= c + l + 1 ]", 0-3) = 9 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ b + k >= c + l + 1 ]", 0-4) = 1 S("f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e)", 0-0) = 0 S("f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e)", 0-1) = ? S("f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e)", 0-2) = ? S("f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e)", 0-3) = 9 S("f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e)", 0-4) = 1 S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ c + k >= b + l + 1 ]", 0-0) = 1 S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ c + k >= b + l + 1 ]", 0-1) = ? S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ c + k >= b + l + 1 ]", 0-2) = ? S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ c + k >= b + l + 1 ]", 0-3) = 9 S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ c + k >= b + l + 1 ]", 0-4) = 1 S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ b + k >= c + l + 1 ]", 0-0) = 1 S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ b + k >= c + l + 1 ]", 0-1) = ? S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ b + k >= c + l + 1 ]", 0-2) = ? S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ b + k >= c + l + 1 ]", 0-3) = 9 S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ b + k >= c + l + 1 ]", 0-4) = 1 orients the transitions f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ c + k >= b + l + 1 ] f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ b + k >= c + l + 1 ] f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ c + k >= b + l + 1 ] f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ b + k >= c + l + 1 ] f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e) f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ a >= 1 ] f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ a = 0 ] f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ k >= l + 1 ] f31(a, b, c, d, e) -> f36(1, b, c, d, e) f31(a, b, c, d, e) -> f36(0, b, c, d, e) f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ a = 0 ] f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ a >= 1 ] f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ 0 >= a + 1 ] f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ d >= b + 1 /\ b >= c + 1 ] f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ c >= b + 1 /\ d >= b + 1 ] f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ d >= b + 1 /\ c = b ] f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ b >= d ] f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ d >= c + 1 ] weakly and the transition f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ b >= d ] strictly and produces the following problem: 10: T: (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ b + k >= c + l + 1 ] (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ c + k >= b + l + 1 ] (?, 1) f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e) (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ b + k >= c + l + 1 ] (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ c + k >= b + l + 1 ] (?, 1) f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e) (?, 1) f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ a >= 1 ] (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ k >= l + 1 ] (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) (?, 1) f31(a, b, c, d, e) -> f36(0, b, c, d, e) (?, 1) f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ a = 0 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ 0 >= a + 1 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ a >= 1 ] (?, 1) f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ a = 0 ] (50, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ d >= k + 1 ] (50, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) (50, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ 0 >= k + 1 ] (?, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ d >= b + 1 /\ b >= c + 1 ] (?, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ c >= b + 1 /\ d >= b + 1 ] (?, 1) f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ d >= b + 1 /\ c = b ] (178, 1) f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ b >= d ] (25, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ 0 >= e + 1 /\ d >= c + 1 ] (25, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ e >= 1 /\ d >= c + 1 ] (27, 1) f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ d >= c + 1 /\ e = 0 ] (1, 1) f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ c >= d ] (?, 1) f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ d >= c + 1 ] (1, 1) f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1) start location: f0 leaf cost: 6 A polynomial rank function with Pol(f38) = -6*V_2 + 3*V_3 + 3*V_4 - 7 Pol(f27) = -6*V_2 + 3*V_3 + 3*V_4 - 2 Pol(f37) = -6*V_2 + 3*V_3 + 3*V_4 - 6 Pol(f36) = 2*V_1 - 6*V_2 + 3*V_3 + 3*V_4 - 7 Pol(f31) = -6*V_2 + 3*V_3 + 3*V_4 - 4 Pol(f30) = -6*V_2 + 3*V_3 + 3*V_4 - 3 Pol(f10) = -V_3 + V_4 and size complexities S("f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1)", 0-0) = 1 S("f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1)", 0-1) = b S("f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1)", 0-2) = 0 S("f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1)", 0-3) = 9 S("f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1)", 0-4) = 1 S("f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ d >= c + 1 ]", 0-0) = 1 S("f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ d >= c + 1 ]", 0-1) = b S("f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ d >= c + 1 ]", 0-2) = ? S("f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ d >= c + 1 ]", 0-3) = 9 S("f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ d >= c + 1 ]", 0-4) = 1 S("f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ c >= d ]", 0-0) = 1 S("f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ c >= d ]", 0-1) = b S("f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ c >= d ]", 0-2) = 0 S("f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ c >= d ]", 0-3) = 9 S("f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ c >= d ]", 0-4) = 1 S("f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ d >= c + 1 /\\ e = 0 ]", 0-0) = 1 S("f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ d >= c + 1 /\\ e = 0 ]", 0-1) = 0 S("f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ d >= c + 1 /\\ e = 0 ]", 0-2) = 178 S("f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ d >= c + 1 /\\ e = 0 ]", 0-3) = 9 S("f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ d >= c + 1 /\\ e = 0 ]", 0-4) = 0 S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ e >= 1 /\\ d >= c + 1 ]", 0-0) = 1 S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ e >= 1 /\\ d >= c + 1 ]", 0-1) = ? S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ e >= 1 /\\ d >= c + 1 ]", 0-2) = 178 S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ e >= 1 /\\ d >= c + 1 ]", 0-3) = 9 S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ e >= 1 /\\ d >= c + 1 ]", 0-4) = 1 S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ 0 >= e + 1 /\\ d >= c + 1 ]", 0-0) = 1 S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ 0 >= e + 1 /\\ d >= c + 1 ]", 0-1) = ? S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ 0 >= e + 1 /\\ d >= c + 1 ]", 0-2) = 178 S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ 0 >= e + 1 /\\ d >= c + 1 ]", 0-3) = 9 S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ 0 >= e + 1 /\\ d >= c + 1 ]", 0-4) = 1 S("f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ b >= d ]", 0-0) = 1 S("f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ b >= d ]", 0-1) = ? S("f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ b >= d ]", 0-2) = 178 S("f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ b >= d ]", 0-3) = 9 S("f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ b >= d ]", 0-4) = 1 S("f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ d >= b + 1 /\\ c = b ]", 0-0) = 1 S("f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ d >= b + 1 /\\ c = b ]", 0-1) = 179 S("f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ d >= b + 1 /\\ c = b ]", 0-2) = 178 S("f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ d >= b + 1 /\\ c = b ]", 0-3) = 9 S("f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ d >= b + 1 /\\ c = b ]", 0-4) = 1 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ c >= b + 1 /\\ d >= b + 1 ]", 0-0) = 1 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ c >= b + 1 /\\ d >= b + 1 ]", 0-1) = ? S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ c >= b + 1 /\\ d >= b + 1 ]", 0-2) = 178 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ c >= b + 1 /\\ d >= b + 1 ]", 0-3) = 9 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ c >= b + 1 /\\ d >= b + 1 ]", 0-4) = 1 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ d >= b + 1 /\\ b >= c + 1 ]", 0-0) = 1 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ d >= b + 1 /\\ b >= c + 1 ]", 0-1) = ? S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ d >= b + 1 /\\ b >= c + 1 ]", 0-2) = 178 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ d >= b + 1 /\\ b >= c + 1 ]", 0-3) = 9 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ d >= b + 1 /\\ b >= c + 1 ]", 0-4) = 1 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ 0 >= k + 1 ]", 0-0) = 1 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ 0 >= k + 1 ]", 0-1) = 0 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ 0 >= k + 1 ]", 0-2) = 178 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ 0 >= k + 1 ]", 0-3) = 9 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ 0 >= k + 1 ]", 0-4) = 0 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0)", 0-0) = 1 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0)", 0-1) = 0 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0)", 0-2) = 178 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0)", 0-3) = 9 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0)", 0-4) = 0 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ d >= k + 1 ]", 0-0) = 1 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ d >= k + 1 ]", 0-1) = 0 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ d >= k + 1 ]", 0-2) = 178 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ d >= k + 1 ]", 0-3) = 9 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ d >= k + 1 ]", 0-4) = 1 S("f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ a = 0 ]", 0-0) = 0 S("f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ a = 0 ]", 0-1) = ? S("f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ a = 0 ]", 0-2) = 178 S("f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ a = 0 ]", 0-3) = 9 S("f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ a = 0 ]", 0-4) = 1 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ a >= 1 ]", 0-0) = 1 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ a >= 1 ]", 0-1) = ? S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ a >= 1 ]", 0-2) = 178 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ a >= 1 ]", 0-3) = 9 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ a >= 1 ]", 0-4) = 1 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ 0 >= a + 1 ]", 0-0) = 1 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ 0 >= a + 1 ]", 0-1) = ? S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ 0 >= a + 1 ]", 0-2) = 178 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ 0 >= a + 1 ]", 0-3) = 9 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ 0 >= a + 1 ]", 0-4) = 1 S("f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ a = 0 ]", 0-0) = 0 S("f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ a = 0 ]", 0-1) = ? S("f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ a = 0 ]", 0-2) = 178 S("f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ a = 0 ]", 0-3) = 9 S("f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ a = 0 ]", 0-4) = 1 S("f31(a, b, c, d, e) -> f36(0, b, c, d, e)", 0-0) = 0 S("f31(a, b, c, d, e) -> f36(0, b, c, d, e)", 0-1) = ? S("f31(a, b, c, d, e) -> f36(0, b, c, d, e)", 0-2) = 178 S("f31(a, b, c, d, e) -> f36(0, b, c, d, e)", 0-3) = 9 S("f31(a, b, c, d, e) -> f36(0, b, c, d, e)", 0-4) = 1 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e)", 0-0) = 1 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e)", 0-1) = ? S("f31(a, b, c, d, e) -> f36(1, b, c, d, e)", 0-2) = 178 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e)", 0-3) = 9 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e)", 0-4) = 1 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ k >= l + 1 ]", 0-0) = 1 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ k >= l + 1 ]", 0-1) = ? S("f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ k >= l + 1 ]", 0-2) = 178 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ k >= l + 1 ]", 0-3) = 9 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ k >= l + 1 ]", 0-4) = 1 S("f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ a >= 1 ]", 0-0) = 1 S("f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ a >= 1 ]", 0-1) = ? S("f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ a >= 1 ]", 0-2) = 178 S("f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ a >= 1 ]", 0-3) = 9 S("f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ a >= 1 ]", 0-4) = 1 S("f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e)", 0-0) = 0 S("f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e)", 0-1) = ? S("f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e)", 0-2) = 178 S("f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e)", 0-3) = 9 S("f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e)", 0-4) = 1 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ c + k >= b + l + 1 ]", 0-0) = 1 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ c + k >= b + l + 1 ]", 0-1) = ? S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ c + k >= b + l + 1 ]", 0-2) = 178 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ c + k >= b + l + 1 ]", 0-3) = 9 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ c + k >= b + l + 1 ]", 0-4) = 1 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ b + k >= c + l + 1 ]", 0-0) = 1 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ b + k >= c + l + 1 ]", 0-1) = ? S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ b + k >= c + l + 1 ]", 0-2) = 178 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ b + k >= c + l + 1 ]", 0-3) = 9 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ b + k >= c + l + 1 ]", 0-4) = 1 S("f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e)", 0-0) = 0 S("f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e)", 0-1) = ? S("f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e)", 0-2) = 178 S("f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e)", 0-3) = 9 S("f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e)", 0-4) = 1 S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ c + k >= b + l + 1 ]", 0-0) = 1 S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ c + k >= b + l + 1 ]", 0-1) = ? S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ c + k >= b + l + 1 ]", 0-2) = 178 S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ c + k >= b + l + 1 ]", 0-3) = 9 S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ c + k >= b + l + 1 ]", 0-4) = 1 S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ b + k >= c + l + 1 ]", 0-0) = 1 S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ b + k >= c + l + 1 ]", 0-1) = ? S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ b + k >= c + l + 1 ]", 0-2) = 178 S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ b + k >= c + l + 1 ]", 0-3) = 9 S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ b + k >= c + l + 1 ]", 0-4) = 1 orients the transitions f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ c + k >= b + l + 1 ] f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ b + k >= c + l + 1 ] f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ c + k >= b + l + 1 ] f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ b + k >= c + l + 1 ] f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e) f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ a >= 1 ] f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ a = 0 ] f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ k >= l + 1 ] f31(a, b, c, d, e) -> f36(1, b, c, d, e) f31(a, b, c, d, e) -> f36(0, b, c, d, e) f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ a = 0 ] f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ a >= 1 ] f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ 0 >= a + 1 ] f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ d >= b + 1 /\ b >= c + 1 ] f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ c >= b + 1 /\ d >= b + 1 ] f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ d >= b + 1 /\ c = b ] f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ d >= c + 1 ] weakly and the transitions f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ c >= b + 1 /\ d >= b + 1 ] f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ d >= b + 1 /\ c = b ] f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ d >= c + 1 ] strictly and produces the following problem: 11: T: (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ b + k >= c + l + 1 ] (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ c + k >= b + l + 1 ] (?, 1) f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e) (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ b + k >= c + l + 1 ] (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ c + k >= b + l + 1 ] (?, 1) f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e) (?, 1) f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ a >= 1 ] (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ k >= l + 1 ] (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) (?, 1) f31(a, b, c, d, e) -> f36(0, b, c, d, e) (?, 1) f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ a = 0 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ 0 >= a + 1 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ a >= 1 ] (?, 1) f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ a = 0 ] (50, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ d >= k + 1 ] (50, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) (50, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ 0 >= k + 1 ] (?, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ d >= b + 1 /\ b >= c + 1 ] (99660, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ c >= b + 1 /\ d >= b + 1 ] (99660, 1) f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ d >= b + 1 /\ c = b ] (178, 1) f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ b >= d ] (25, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ 0 >= e + 1 /\ d >= c + 1 ] (25, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ e >= 1 /\ d >= c + 1 ] (27, 1) f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ d >= c + 1 /\ e = 0 ] (1, 1) f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ c >= d ] (99660, 1) f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ d >= c + 1 ] (1, 1) f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1) start location: f0 leaf cost: 6 Applied AI with 'oct' on problem 11 to obtain the following invariants: For symbol f10: -X_5 + 1 >= 0 /\ X_4 - X_5 - 8 >= 0 /\ -X_4 - X_5 + 10 >= 0 /\ X_3 - X_5 + 1 >= 0 /\ X_1 - X_5 >= 0 /\ -X_1 - X_5 + 2 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 10 >= 0 /\ -X_4 + X_5 + 8 >= 0 /\ X_3 + X_5 - 1 >= 0 /\ X_1 + X_5 - 2 >= 0 /\ -X_1 + X_5 >= 0 /\ -X_4 + 9 >= 0 /\ X_3 - X_4 + 9 >= 0 /\ X_1 - X_4 + 8 >= 0 /\ -X_1 - X_4 + 10 >= 0 /\ X_4 - 9 >= 0 /\ X_3 + X_4 - 9 >= 0 /\ X_1 + X_4 - 10 >= 0 /\ -X_1 + X_4 - 8 >= 0 /\ X_3 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 + 1 >= 0 /\ -X_1 + 1 >= 0 /\ X_1 - 1 >= 0 For symbol f16: -X_5 + 1 >= 0 /\ X_4 - X_5 - 8 >= 0 /\ -X_4 - X_5 + 10 >= 0 /\ X_3 - X_5 + 1 >= 0 /\ -X_1 - X_5 + 2 >= 0 /\ X_5 >= 0 /\ X_4 + X_5 - 9 >= 0 /\ -X_4 + X_5 + 9 >= 0 /\ X_3 + X_5 - 1 >= 0 /\ -X_1 + X_5 + 1 >= 0 /\ -X_4 + 9 >= 0 /\ X_3 - X_4 + 9 >= 0 /\ -X_1 - X_4 + 10 >= 0 /\ X_4 - 9 >= 0 /\ X_3 + X_4 - 9 >= 0 /\ -X_1 + X_4 - 8 >= 0 /\ X_3 >= 0 /\ -X_1 + X_3 + 1 >= 0 /\ -X_1 + 1 >= 0 For symbol f19: -X_5 + 1 >= 0 /\ X_4 - X_5 - 8 >= 0 /\ -X_4 - X_5 + 10 >= 0 /\ X_3 - X_5 + 1 >= 0 /\ -X_3 - X_5 + 9 >= 0 /\ -X_1 - X_5 + 2 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 10 >= 0 /\ -X_4 + X_5 + 8 >= 0 /\ X_3 + X_5 - 1 >= 0 /\ -X_3 + X_5 + 7 >= 0 /\ -X_1 + X_5 >= 0 /\ -X_4 + 9 >= 0 /\ X_3 - X_4 + 9 >= 0 /\ -X_3 - X_4 + 17 >= 0 /\ -X_1 - X_4 + 10 >= 0 /\ X_4 - 9 >= 0 /\ X_3 + X_4 - 9 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ -X_1 + X_4 - 8 >= 0 /\ -X_3 + 8 >= 0 /\ -X_1 - X_3 + 9 >= 0 /\ X_3 >= 0 /\ -X_1 + X_3 + 1 >= 0 /\ -X_1 + 1 >= 0 For symbol f27: -X_5 + 1 >= 0 /\ X_4 - X_5 - 8 >= 0 /\ -X_4 - X_5 + 10 >= 0 /\ X_3 - X_5 + 1 >= 0 /\ X_2 - X_5 + 1 >= 0 /\ -X_1 - X_5 + 2 >= 0 /\ X_5 >= 0 /\ X_4 + X_5 - 9 >= 0 /\ -X_4 + X_5 + 9 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 >= 0 /\ -X_1 + X_5 + 1 >= 0 /\ -X_4 + 9 >= 0 /\ X_3 - X_4 + 9 >= 0 /\ X_2 - X_4 + 9 >= 0 /\ -X_1 - X_4 + 10 >= 0 /\ X_4 - 9 >= 0 /\ X_3 + X_4 - 9 >= 0 /\ X_2 + X_4 - 9 >= 0 /\ -X_1 + X_4 - 8 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ -X_1 + X_3 + 1 >= 0 /\ X_2 >= 0 /\ -X_1 + X_2 + 1 >= 0 /\ -X_1 + 1 >= 0 For symbol f30: -X_5 + 1 >= 0 /\ X_4 - X_5 - 8 >= 0 /\ -X_4 - X_5 + 10 >= 0 /\ X_3 - X_5 + 1 >= 0 /\ X_2 - X_5 + 1 >= 0 /\ -X_2 - X_5 + 9 >= 0 /\ -X_1 - X_5 + 2 >= 0 /\ X_5 >= 0 /\ X_4 + X_5 - 9 >= 0 /\ -X_4 + X_5 + 9 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 >= 0 /\ -X_2 + X_5 + 8 >= 0 /\ -X_1 + X_5 + 1 >= 0 /\ -X_4 + 9 >= 0 /\ X_3 - X_4 + 9 >= 0 /\ X_2 - X_4 + 9 >= 0 /\ -X_2 - X_4 + 17 >= 0 /\ -X_1 - X_4 + 10 >= 0 /\ X_4 - 9 >= 0 /\ X_3 + X_4 - 9 >= 0 /\ X_2 + X_4 - 9 >= 0 /\ -X_2 + X_4 - 1 >= 0 /\ -X_1 + X_4 - 8 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_2 + X_3 + 8 >= 0 /\ -X_1 + X_3 + 1 >= 0 /\ -X_2 + 8 >= 0 /\ -X_1 - X_2 + 9 >= 0 /\ X_2 >= 0 /\ -X_1 + X_2 + 1 >= 0 /\ -X_1 + 1 >= 0 For symbol f31: -X_5 + 1 >= 0 /\ X_4 - X_5 - 8 >= 0 /\ -X_4 - X_5 + 10 >= 0 /\ X_3 - X_5 + 1 >= 0 /\ X_2 - X_5 + 1 >= 0 /\ -X_2 - X_5 + 9 >= 0 /\ -X_1 - X_5 + 2 >= 0 /\ X_5 >= 0 /\ X_4 + X_5 - 9 >= 0 /\ -X_4 + X_5 + 9 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 >= 0 /\ -X_2 + X_5 + 8 >= 0 /\ -X_1 + X_5 + 1 >= 0 /\ -X_4 + 9 >= 0 /\ X_3 - X_4 + 9 >= 0 /\ X_2 - X_4 + 9 >= 0 /\ -X_2 - X_4 + 17 >= 0 /\ -X_1 - X_4 + 10 >= 0 /\ X_4 - 9 >= 0 /\ X_3 + X_4 - 9 >= 0 /\ X_2 + X_4 - 9 >= 0 /\ -X_2 + X_4 - 1 >= 0 /\ -X_1 + X_4 - 8 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_2 + X_3 + 8 >= 0 /\ -X_1 + X_3 + 1 >= 0 /\ -X_2 + 8 >= 0 /\ -X_1 - X_2 + 9 >= 0 /\ X_2 >= 0 /\ -X_1 + X_2 + 1 >= 0 /\ -X_1 + 1 >= 0 For symbol f36: -X_5 + 1 >= 0 /\ X_4 - X_5 - 8 >= 0 /\ -X_4 - X_5 + 10 >= 0 /\ X_3 - X_5 + 1 >= 0 /\ X_2 - X_5 + 1 >= 0 /\ -X_2 - X_5 + 9 >= 0 /\ X_1 - X_5 + 1 >= 0 /\ -X_1 - X_5 + 2 >= 0 /\ X_5 >= 0 /\ X_4 + X_5 - 9 >= 0 /\ -X_4 + X_5 + 9 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 >= 0 /\ -X_2 + X_5 + 8 >= 0 /\ X_1 + X_5 >= 0 /\ -X_1 + X_5 + 1 >= 0 /\ -X_4 + 9 >= 0 /\ X_3 - X_4 + 9 >= 0 /\ X_2 - X_4 + 9 >= 0 /\ -X_2 - X_4 + 17 >= 0 /\ X_1 - X_4 + 9 >= 0 /\ -X_1 - X_4 + 10 >= 0 /\ X_4 - 9 >= 0 /\ X_3 + X_4 - 9 >= 0 /\ X_2 + X_4 - 9 >= 0 /\ -X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 9 >= 0 /\ -X_1 + X_4 - 8 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_2 + X_3 + 8 >= 0 /\ X_1 + X_3 >= 0 /\ -X_1 + X_3 + 1 >= 0 /\ -X_2 + 8 >= 0 /\ X_1 - X_2 + 8 >= 0 /\ -X_1 - X_2 + 9 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 + 1 >= 0 /\ -X_1 + 1 >= 0 /\ X_1 >= 0 For symbol f37: -X_5 + 1 >= 0 /\ X_4 - X_5 - 8 >= 0 /\ -X_4 - X_5 + 10 >= 0 /\ X_3 - X_5 + 1 >= 0 /\ X_2 - X_5 + 1 >= 0 /\ -X_2 - X_5 + 9 >= 0 /\ X_1 - X_5 >= 0 /\ -X_1 - X_5 + 2 >= 0 /\ X_5 >= 0 /\ X_4 + X_5 - 9 >= 0 /\ -X_4 + X_5 + 9 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 >= 0 /\ -X_2 + X_5 + 8 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ -X_1 + X_5 + 1 >= 0 /\ -X_4 + 9 >= 0 /\ X_3 - X_4 + 9 >= 0 /\ X_2 - X_4 + 9 >= 0 /\ -X_2 - X_4 + 17 >= 0 /\ X_1 - X_4 + 8 >= 0 /\ -X_1 - X_4 + 10 >= 0 /\ X_4 - 9 >= 0 /\ X_3 + X_4 - 9 >= 0 /\ X_2 + X_4 - 9 >= 0 /\ -X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 10 >= 0 /\ -X_1 + X_4 - 8 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_2 + X_3 + 8 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 + 1 >= 0 /\ -X_2 + 8 >= 0 /\ X_1 - X_2 + 7 >= 0 /\ -X_1 - X_2 + 9 >= 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 f38: -X_5 + 1 >= 0 /\ X_4 - X_5 - 8 >= 0 /\ -X_4 - X_5 + 10 >= 0 /\ X_3 - X_5 + 1 >= 0 /\ X_2 - X_5 + 1 >= 0 /\ -X_2 - X_5 + 9 >= 0 /\ X_1 - X_5 >= 0 /\ -X_1 - X_5 + 2 >= 0 /\ X_5 >= 0 /\ X_4 + X_5 - 9 >= 0 /\ -X_4 + X_5 + 9 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 >= 0 /\ -X_2 + X_5 + 8 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ -X_1 + X_5 + 1 >= 0 /\ -X_4 + 9 >= 0 /\ X_3 - X_4 + 9 >= 0 /\ X_2 - X_4 + 9 >= 0 /\ -X_2 - X_4 + 17 >= 0 /\ X_1 - X_4 + 8 >= 0 /\ -X_1 - X_4 + 10 >= 0 /\ X_4 - 9 >= 0 /\ X_3 + X_4 - 9 >= 0 /\ X_2 + X_4 - 9 >= 0 /\ -X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 10 >= 0 /\ -X_1 + X_4 - 8 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_2 + X_3 + 8 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 + 1 >= 0 /\ -X_2 + 8 >= 0 /\ X_1 - X_2 + 7 >= 0 /\ -X_1 - X_2 + 9 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 + 1 >= 0 /\ -X_1 + 1 >= 0 /\ X_1 - 1 >= 0 This yielded the following problem: 12: T: (1, 1) f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1) (99660, 1) f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e - 1 >= 0 /\ d + e - 10 >= 0 /\ -d + e + 8 >= 0 /\ c + e - 1 >= 0 /\ a + e - 2 >= 0 /\ -a + e >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ d >= c + 1 ] (1, 1) f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e - 1 >= 0 /\ d + e - 10 >= 0 /\ -d + e + 8 >= 0 /\ c + e - 1 >= 0 /\ a + e - 2 >= 0 /\ -a + e >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ c >= d ] (27, 1) f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ -a + c + 1 >= 0 /\ -a + 1 >= 0 /\ d >= c + 1 /\ e = 0 ] (25, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ -a + c + 1 >= 0 /\ -a + 1 >= 0 /\ e >= 1 /\ d >= c + 1 ] (25, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ -a + c + 1 >= 0 /\ -a + 1 >= 0 /\ 0 >= e + 1 /\ d >= c + 1 ] (178, 1) f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c >= 0 /\ -a + c + 1 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ b >= d ] (99660, 1) f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c >= 0 /\ -a + c + 1 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ d >= b + 1 /\ c = b ] (99660, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c >= 0 /\ -a + c + 1 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ c >= b + 1 /\ d >= b + 1 ] (?, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c >= 0 /\ -a + c + 1 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ d >= b + 1 /\ b >= c + 1 ] (50, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ -c - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e - 1 >= 0 /\ d + e - 10 >= 0 /\ -d + e + 8 >= 0 /\ c + e - 1 >= 0 /\ -c + e + 7 >= 0 /\ -a + e >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ -c - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ -c + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ -c + 8 >= 0 /\ -a - c + 9 >= 0 /\ c >= 0 /\ -a + c + 1 >= 0 /\ -a + 1 >= 0 /\ 0 >= k + 1 ] (50, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ -c - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e - 1 >= 0 /\ d + e - 10 >= 0 /\ -d + e + 8 >= 0 /\ c + e - 1 >= 0 /\ -c + e + 7 >= 0 /\ -a + e >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ -c - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ -c + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ -c + 8 >= 0 /\ -a - c + 9 >= 0 /\ c >= 0 /\ -a + c + 1 >= 0 /\ -a + 1 >= 0 ] (50, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ -c - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e - 1 >= 0 /\ d + e - 10 >= 0 /\ -d + e + 8 >= 0 /\ c + e - 1 >= 0 /\ -c + e + 7 >= 0 /\ -a + e >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ -c - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ -c + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ -c + 8 >= 0 /\ -a - c + 9 >= 0 /\ c >= 0 /\ -a + c + 1 >= 0 /\ -a + 1 >= 0 /\ d >= k + 1 ] (?, 1) f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a = 0 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a >= 1 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ 0 >= a + 1 ] (?, 1) f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a >= 0 /\ a = 0 ] (?, 1) f31(a, b, c, d, e) -> f36(0, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 ] (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 ] (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ k >= l + 1 ] (?, 1) f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a >= 0 /\ a >= 1 ] (?, 1) f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 ] (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ c + k >= b + l + 1 ] (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ b + k >= c + l + 1 ] (?, 1) f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 ] (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ c + k >= b + l + 1 ] (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ b + k >= c + l + 1 ] start location: f0 leaf cost: 6 Testing for unsatisfiable constraints removes the following transition from problem 12: f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ -a + c + 1 >= 0 /\ -a + 1 >= 0 /\ 0 >= e + 1 /\ d >= c + 1 ] We thus obtain the following problem: 13: T: (1, 1) f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1) (99660, 1) f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e - 1 >= 0 /\ d + e - 10 >= 0 /\ -d + e + 8 >= 0 /\ c + e - 1 >= 0 /\ a + e - 2 >= 0 /\ -a + e >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ d >= c + 1 ] (1, 1) f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e - 1 >= 0 /\ d + e - 10 >= 0 /\ -d + e + 8 >= 0 /\ c + e - 1 >= 0 /\ a + e - 2 >= 0 /\ -a + e >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ c >= d ] (27, 1) f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ -a + c + 1 >= 0 /\ -a + 1 >= 0 /\ d >= c + 1 /\ e = 0 ] (25, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ -a + c + 1 >= 0 /\ -a + 1 >= 0 /\ e >= 1 /\ d >= c + 1 ] (178, 1) f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c >= 0 /\ -a + c + 1 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ b >= d ] (99660, 1) f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c >= 0 /\ -a + c + 1 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ d >= b + 1 /\ c = b ] (99660, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c >= 0 /\ -a + c + 1 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ c >= b + 1 /\ d >= b + 1 ] (?, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c >= 0 /\ -a + c + 1 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ d >= b + 1 /\ b >= c + 1 ] (50, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ -c - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e - 1 >= 0 /\ d + e - 10 >= 0 /\ -d + e + 8 >= 0 /\ c + e - 1 >= 0 /\ -c + e + 7 >= 0 /\ -a + e >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ -c - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ -c + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ -c + 8 >= 0 /\ -a - c + 9 >= 0 /\ c >= 0 /\ -a + c + 1 >= 0 /\ -a + 1 >= 0 /\ 0 >= k + 1 ] (50, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ -c - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e - 1 >= 0 /\ d + e - 10 >= 0 /\ -d + e + 8 >= 0 /\ c + e - 1 >= 0 /\ -c + e + 7 >= 0 /\ -a + e >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ -c - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ -c + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ -c + 8 >= 0 /\ -a - c + 9 >= 0 /\ c >= 0 /\ -a + c + 1 >= 0 /\ -a + 1 >= 0 ] (50, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ -c - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e - 1 >= 0 /\ d + e - 10 >= 0 /\ -d + e + 8 >= 0 /\ c + e - 1 >= 0 /\ -c + e + 7 >= 0 /\ -a + e >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ -c - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ -c + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ -c + 8 >= 0 /\ -a - c + 9 >= 0 /\ c >= 0 /\ -a + c + 1 >= 0 /\ -a + 1 >= 0 /\ d >= k + 1 ] (?, 1) f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a = 0 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a >= 1 ] (?, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ 0 >= a + 1 ] (?, 1) f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a >= 0 /\ a = 0 ] (?, 1) f31(a, b, c, d, e) -> f36(0, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 ] (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 ] (?, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ k >= l + 1 ] (?, 1) f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a >= 0 /\ a >= 1 ] (?, 1) f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 ] (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ c + k >= b + l + 1 ] (?, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ b + k >= c + l + 1 ] (?, 1) f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 ] (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ c + k >= b + l + 1 ] (?, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ b + k >= c + l + 1 ] start location: f0 leaf cost: 6 A polynomial rank function with Pol(f38) = -22*V_2 + 20*V_4 + 2*V_5 + 6 Pol(f27) = -22*V_2 + 22*V_4 + 2*V_5 + 9 Pol(f37) = -22*V_2 + 20*V_4 + 2*V_5 + 7 Pol(f36) = -22*V_2 + 20*V_4 + 2*V_5 + 8 Pol(f31) = -21*V_2 + V_3 + 20*V_4 + 10 Pol(f30) = -21*V_2 + V_3 + 20*V_4 + 11 and size complexities S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ b + k >= c + l + 1 ]", 0-0) = 1 S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ b + k >= c + l + 1 ]", 0-1) = 9 S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ b + k >= c + l + 1 ]", 0-2) = 8 S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ b + k >= c + l + 1 ]", 0-3) = 9 S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ b + k >= c + l + 1 ]", 0-4) = 1 S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ c + k >= b + l + 1 ]", 0-0) = 1 S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ c + k >= b + l + 1 ]", 0-1) = 9 S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ c + k >= b + l + 1 ]", 0-2) = 8 S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ c + k >= b + l + 1 ]", 0-3) = 9 S("f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ c + k >= b + l + 1 ]", 0-4) = 1 S("f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 ]", 0-0) = 0 S("f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 ]", 0-1) = 9 S("f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 ]", 0-2) = 8 S("f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 ]", 0-3) = 9 S("f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 ]", 0-4) = 1 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ b + k >= c + l + 1 ]", 0-0) = 1 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ b + k >= c + l + 1 ]", 0-1) = 8 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ b + k >= c + l + 1 ]", 0-2) = 8 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ b + k >= c + l + 1 ]", 0-3) = 9 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ b + k >= c + l + 1 ]", 0-4) = 1 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ c + k >= b + l + 1 ]", 0-0) = 1 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ c + k >= b + l + 1 ]", 0-1) = 8 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ c + k >= b + l + 1 ]", 0-2) = 8 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ c + k >= b + l + 1 ]", 0-3) = 9 S("f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ c + k >= b + l + 1 ]", 0-4) = 1 S("f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 ]", 0-0) = 0 S("f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 ]", 0-1) = 9 S("f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 ]", 0-2) = 8 S("f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 ]", 0-3) = 9 S("f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 7 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b - 1 >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 ]", 0-4) = 1 S("f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a >= 0 /\\ a >= 1 ]", 0-0) = 1 S("f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a >= 0 /\\ a >= 1 ]", 0-1) = 8 S("f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a >= 0 /\\ a >= 1 ]", 0-2) = 8 S("f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a >= 0 /\\ a >= 1 ]", 0-3) = 9 S("f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a >= 0 /\\ a >= 1 ]", 0-4) = 1 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ k >= l + 1 ]", 0-0) = 1 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ k >= l + 1 ]", 0-1) = 8 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ k >= l + 1 ]", 0-2) = 8 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ k >= l + 1 ]", 0-3) = 9 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ k >= l + 1 ]", 0-4) = 1 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 ]", 0-0) = 1 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 ]", 0-1) = 8 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 ]", 0-2) = 8 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 ]", 0-3) = 9 S("f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 ]", 0-4) = 1 S("f31(a, b, c, d, e) -> f36(0, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 ]", 0-0) = 0 S("f31(a, b, c, d, e) -> f36(0, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 ]", 0-1) = 8 S("f31(a, b, c, d, e) -> f36(0, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 ]", 0-2) = 8 S("f31(a, b, c, d, e) -> f36(0, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 ]", 0-3) = 9 S("f31(a, b, c, d, e) -> f36(0, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 ]", 0-4) = 1 S("f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a >= 0 /\\ a = 0 ]", 0-0) = 0 S("f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a >= 0 /\\ a = 0 ]", 0-1) = 9 S("f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a >= 0 /\\ a = 0 ]", 0-2) = 8 S("f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a >= 0 /\\ a = 0 ]", 0-3) = 9 S("f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ a - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ a + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ a - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ a + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ a + c >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ a - b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ a + b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a >= 0 /\\ a = 0 ]", 0-4) = 1 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ 0 >= a + 1 ]", 0-0) = 1 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ 0 >= a + 1 ]", 0-1) = 8 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ 0 >= a + 1 ]", 0-2) = 8 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ 0 >= a + 1 ]", 0-3) = 9 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ 0 >= a + 1 ]", 0-4) = 1 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a >= 1 ]", 0-0) = 1 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a >= 1 ]", 0-1) = 8 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a >= 1 ]", 0-2) = 8 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a >= 1 ]", 0-3) = 9 S("f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a >= 1 ]", 0-4) = 1 S("f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a = 0 ]", 0-0) = 0 S("f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a = 0 ]", 0-1) = 8 S("f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a = 0 ]", 0-2) = 8 S("f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a = 0 ]", 0-3) = 9 S("f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -b - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -b + e + 8 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -b - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -b + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c - 1 >= 0 /\\ -b + c + 8 >= 0 /\\ -a + c + 1 >= 0 /\\ -b + 8 >= 0 /\\ -a - b + 9 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ a = 0 ]", 0-4) = 1 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -c - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ -c + e + 7 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -c - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -c + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ -c + 8 >= 0 /\\ -a - c + 9 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ d >= k + 1 ]", 0-0) = 1 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -c - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ -c + e + 7 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -c - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -c + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ -c + 8 >= 0 /\\ -a - c + 9 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ d >= k + 1 ]", 0-1) = 0 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -c - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ -c + e + 7 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -c - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -c + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ -c + 8 >= 0 /\\ -a - c + 9 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ d >= k + 1 ]", 0-2) = 8 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -c - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ -c + e + 7 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -c - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -c + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ -c + 8 >= 0 /\\ -a - c + 9 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ d >= k + 1 ]", 0-3) = 9 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -c - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ -c + e + 7 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -c - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -c + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ -c + 8 >= 0 /\\ -a - c + 9 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ d >= k + 1 ]", 0-4) = 1 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -c - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ -c + e + 7 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -c - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -c + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ -c + 8 >= 0 /\\ -a - c + 9 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 ]", 0-0) = 1 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -c - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ -c + e + 7 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -c - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -c + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ -c + 8 >= 0 /\\ -a - c + 9 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 ]", 0-1) = 0 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -c - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ -c + e + 7 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -c - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -c + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ -c + 8 >= 0 /\\ -a - c + 9 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 ]", 0-2) = 8 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -c - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ -c + e + 7 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -c - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -c + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ -c + 8 >= 0 /\\ -a - c + 9 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 ]", 0-3) = 9 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -c - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ -c + e + 7 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -c - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -c + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ -c + 8 >= 0 /\\ -a - c + 9 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 ]", 0-4) = 0 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -c - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ -c + e + 7 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -c - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -c + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ -c + 8 >= 0 /\\ -a - c + 9 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ 0 >= k + 1 ]", 0-0) = 1 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -c - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ -c + e + 7 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -c - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -c + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ -c + 8 >= 0 /\\ -a - c + 9 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ 0 >= k + 1 ]", 0-1) = 0 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -c - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ -c + e + 7 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -c - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -c + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ -c + 8 >= 0 /\\ -a - c + 9 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ 0 >= k + 1 ]", 0-2) = 8 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -c - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ -c + e + 7 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -c - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -c + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ -c + 8 >= 0 /\\ -a - c + 9 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ 0 >= k + 1 ]", 0-3) = 9 S("f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -c - e + 9 >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ -c + e + 7 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -c - d + 17 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -c + d - 1 >= 0 /\\ -a + d - 8 >= 0 /\\ -c + 8 >= 0 /\\ -a - c + 9 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ 0 >= k + 1 ]", 0-4) = 0 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c >= 0 /\\ -a + c + 1 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ d >= b + 1 /\\ b >= c + 1 ]", 0-0) = 1 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c >= 0 /\\ -a + c + 1 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ d >= b + 1 /\\ b >= c + 1 ]", 0-1) = 8 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c >= 0 /\\ -a + c + 1 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ d >= b + 1 /\\ b >= c + 1 ]", 0-2) = 7 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c >= 0 /\\ -a + c + 1 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ d >= b + 1 /\\ b >= c + 1 ]", 0-3) = 9 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c >= 0 /\\ -a + c + 1 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ d >= b + 1 /\\ b >= c + 1 ]", 0-4) = 1 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c >= 0 /\\ -a + c + 1 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ c >= b + 1 /\\ d >= b + 1 ]", 0-0) = 1 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c >= 0 /\\ -a + c + 1 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ c >= b + 1 /\\ d >= b + 1 ]", 0-1) = 8 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c >= 0 /\\ -a + c + 1 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ c >= b + 1 /\\ d >= b + 1 ]", 0-2) = 8 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c >= 0 /\\ -a + c + 1 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ c >= b + 1 /\\ d >= b + 1 ]", 0-3) = 9 S("f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c >= 0 /\\ -a + c + 1 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ c >= b + 1 /\\ d >= b + 1 ]", 0-4) = 1 S("f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c >= 0 /\\ -a + c + 1 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ d >= b + 1 /\\ c = b ]", 0-0) = 1 S("f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c >= 0 /\\ -a + c + 1 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ d >= b + 1 /\\ c = b ]", 0-1) = 9 S("f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c >= 0 /\\ -a + c + 1 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ d >= b + 1 /\\ c = b ]", 0-2) = 8 S("f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c >= 0 /\\ -a + c + 1 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ d >= b + 1 /\\ c = b ]", 0-3) = 9 S("f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c >= 0 /\\ -a + c + 1 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ d >= b + 1 /\\ c = b ]", 0-4) = 1 S("f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c >= 0 /\\ -a + c + 1 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ b >= d ]", 0-0) = 1 S("f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c >= 0 /\\ -a + c + 1 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ b >= d ]", 0-1) = 9 S("f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c >= 0 /\\ -a + c + 1 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ b >= d ]", 0-2) = 9 S("f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c >= 0 /\\ -a + c + 1 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ b >= d ]", 0-3) = 9 S("f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ b - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e >= 0 /\\ b + e >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ b - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ b + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ b + c >= 0 /\\ -a + c + 1 >= 0 /\\ b >= 0 /\\ -a + b + 1 >= 0 /\\ -a + 1 >= 0 /\\ b >= d ]", 0-4) = 1 S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ e >= 1 /\\ d >= c + 1 ]", 0-0) = 1 S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ e >= 1 /\\ d >= c + 1 ]", 0-1) = b + 9 S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ e >= 1 /\\ d >= c + 1 ]", 0-2) = 8 S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ e >= 1 /\\ d >= c + 1 ]", 0-3) = 9 S("f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ e >= 1 /\\ d >= c + 1 ]", 0-4) = 1 S("f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ d >= c + 1 /\\ e = 0 ]", 0-0) = 1 S("f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ d >= c + 1 /\\ e = 0 ]", 0-1) = 0 S("f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ d >= c + 1 /\\ e = 0 ]", 0-2) = 8 S("f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ d >= c + 1 /\\ e = 0 ]", 0-3) = 9 S("f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ -a - e + 2 >= 0 /\\ e >= 0 /\\ d + e - 9 >= 0 /\\ -d + e + 9 >= 0 /\\ c + e - 1 >= 0 /\\ -a + e + 1 >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ d >= c + 1 /\\ e = 0 ]", 0-4) = 0 S("f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ a + e - 2 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ c >= d ]", 0-0) = 1 S("f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ a + e - 2 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ c >= d ]", 0-1) = b S("f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ a + e - 2 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ c >= d ]", 0-2) = 0 S("f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ a + e - 2 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ c >= d ]", 0-3) = 9 S("f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ a + e - 2 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ c >= d ]", 0-4) = 1 S("f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ a + e - 2 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ d >= c + 1 ]", 0-0) = 1 S("f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ a + e - 2 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ d >= c + 1 ]", 0-1) = b S("f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ a + e - 2 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ d >= c + 1 ]", 0-2) = 9 S("f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ a + e - 2 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ d >= c + 1 ]", 0-3) = 9 S("f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ -e + 1 >= 0 /\\ d - e - 8 >= 0 /\\ -d - e + 10 >= 0 /\\ c - e + 1 >= 0 /\\ a - e >= 0 /\\ -a - e + 2 >= 0 /\\ e - 1 >= 0 /\\ d + e - 10 >= 0 /\\ -d + e + 8 >= 0 /\\ c + e - 1 >= 0 /\\ a + e - 2 >= 0 /\\ -a + e >= 0 /\\ -d + 9 >= 0 /\\ c - d + 9 >= 0 /\\ a - d + 8 >= 0 /\\ -a - d + 10 >= 0 /\\ d - 9 >= 0 /\\ c + d - 9 >= 0 /\\ a + d - 10 >= 0 /\\ -a + d - 8 >= 0 /\\ c >= 0 /\\ a + c - 1 >= 0 /\\ -a + c + 1 >= 0 /\\ -a + 1 >= 0 /\\ a - 1 >= 0 /\\ d >= c + 1 ]", 0-4) = 1 S("f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1)", 0-0) = 1 S("f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1)", 0-1) = b S("f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1)", 0-2) = 0 S("f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1)", 0-3) = 9 S("f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1)", 0-4) = 1 orients the transitions f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ c + k >= b + l + 1 ] f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ b + k >= c + l + 1 ] f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 ] f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ c + k >= b + l + 1 ] f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ b + k >= c + l + 1 ] f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 ] f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a >= 0 /\ a >= 1 ] f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a >= 0 /\ a = 0 ] f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ k >= l + 1 ] f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 ] f31(a, b, c, d, e) -> f36(0, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 ] f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a = 0 ] f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a >= 1 ] f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ 0 >= a + 1 ] f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c >= 0 /\ -a + c + 1 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ d >= b + 1 /\ b >= c + 1 ] weakly and the transitions f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ c + k >= b + l + 1 ] f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ b + k >= c + l + 1 ] f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 ] f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ c + k >= b + l + 1 ] f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ b + k >= c + l + 1 ] f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 ] f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a >= 0 /\ a >= 1 ] f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a >= 0 /\ a = 0 ] f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ k >= l + 1 ] f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 ] f31(a, b, c, d, e) -> f36(0, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 ] f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a = 0 ] f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a >= 1 ] f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ 0 >= a + 1 ] f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c >= 0 /\ -a + c + 1 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ d >= b + 1 /\ b >= c + 1 ] strictly and produces the following problem: 14: T: (1, 1) f0(a, b, c, d, e) -> f10(1, b, 0, 9, 1) (99660, 1) f10(a, b, c, d, e) -> f10(a, b, c + 1, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e - 1 >= 0 /\ d + e - 10 >= 0 /\ -d + e + 8 >= 0 /\ c + e - 1 >= 0 /\ a + e - 2 >= 0 /\ -a + e >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ d >= c + 1 ] (1, 1) f10(a, b, c, d, e) -> f16(a, b, 0, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e - 1 >= 0 /\ d + e - 10 >= 0 /\ -d + e + 8 >= 0 /\ c + e - 1 >= 0 /\ a + e - 2 >= 0 /\ -a + e >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ c >= d ] (27, 1) f16(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ -a + c + 1 >= 0 /\ -a + 1 >= 0 /\ d >= c + 1 /\ e = 0 ] (25, 1) f16(a, b, c, d, e) -> f19(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ -a + c + 1 >= 0 /\ -a + 1 >= 0 /\ e >= 1 /\ d >= c + 1 ] (178, 1) f27(a, b, c, d, e) -> f16(a, b, c + 1, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c >= 0 /\ -a + c + 1 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ b >= d ] (99660, 1) f27(a, b, c, d, e) -> f27(a, c + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c >= 0 /\ -a + c + 1 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ d >= b + 1 /\ c = b ] (99660, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c >= 0 /\ -a + c + 1 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ c >= b + 1 /\ d >= b + 1 ] (77136840, 1) f27(a, b, c, d, e) -> f30(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c >= 0 /\ -a + c + 1 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ d >= b + 1 /\ b >= c + 1 ] (50, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ -c - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e - 1 >= 0 /\ d + e - 10 >= 0 /\ -d + e + 8 >= 0 /\ c + e - 1 >= 0 /\ -c + e + 7 >= 0 /\ -a + e >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ -c - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ -c + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ -c + 8 >= 0 /\ -a - c + 9 >= 0 /\ c >= 0 /\ -a + c + 1 >= 0 /\ -a + 1 >= 0 /\ 0 >= k + 1 ] (50, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 0) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ -c - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e - 1 >= 0 /\ d + e - 10 >= 0 /\ -d + e + 8 >= 0 /\ c + e - 1 >= 0 /\ -c + e + 7 >= 0 /\ -a + e >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ -c - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ -c + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ -c + 8 >= 0 /\ -a - c + 9 >= 0 /\ c >= 0 /\ -a + c + 1 >= 0 /\ -a + 1 >= 0 ] (50, 1) f19(a, b, c, d, e) -> f27(a, 0, c, d, 1) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ -c - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e - 1 >= 0 /\ d + e - 10 >= 0 /\ -d + e + 8 >= 0 /\ c + e - 1 >= 0 /\ -c + e + 7 >= 0 /\ -a + e >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ -c - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ -c + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ -c + 8 >= 0 /\ -a - c + 9 >= 0 /\ c >= 0 /\ -a + c + 1 >= 0 /\ -a + 1 >= 0 /\ d >= k + 1 ] (77136840, 1) f30(a, b, c, d, e) -> f36(0, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a = 0 ] (77136840, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a >= 1 ] (77136840, 1) f30(a, b, c, d, e) -> f31(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ 0 >= a + 1 ] (77136840, 1) f36(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a >= 0 /\ a = 0 ] (77136840, 1) f31(a, b, c, d, e) -> f36(0, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 ] (77136840, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 ] (77136840, 1) f31(a, b, c, d, e) -> f36(1, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ k >= l + 1 ] (77136840, 1) f36(a, b, c, d, e) -> f37(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e + 1 >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 9 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 9 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 8 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a >= 0 /\ a >= 1 ] (77136840, 1) f37(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 ] (77136840, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ c + k >= b + l + 1 ] (77136840, 1) f37(a, b, c, d, e) -> f38(a, b, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ b + k >= c + l + 1 ] (77136840, 1) f38(a, b, c, d, e) -> f27(0, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 ] (77136840, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ c + k >= b + l + 1 ] (77136840, 1) f38(a, b, c, d, e) -> f27(1, b + 1, c, d, e) [ -e + 1 >= 0 /\ d - e - 8 >= 0 /\ -d - e + 10 >= 0 /\ c - e + 1 >= 0 /\ b - e + 1 >= 0 /\ -b - e + 9 >= 0 /\ a - e >= 0 /\ -a - e + 2 >= 0 /\ e >= 0 /\ d + e - 9 >= 0 /\ -d + e + 9 >= 0 /\ c + e >= 0 /\ b + e >= 0 /\ -b + e + 8 >= 0 /\ a + e - 1 >= 0 /\ -a + e + 1 >= 0 /\ -d + 9 >= 0 /\ c - d + 9 >= 0 /\ b - d + 9 >= 0 /\ -b - d + 17 >= 0 /\ a - d + 8 >= 0 /\ -a - d + 10 >= 0 /\ d - 9 >= 0 /\ c + d - 9 >= 0 /\ b + d - 9 >= 0 /\ -b + d - 1 >= 0 /\ a + d - 10 >= 0 /\ -a + d - 8 >= 0 /\ c >= 0 /\ b + c - 1 >= 0 /\ -b + c + 8 >= 0 /\ a + c - 1 >= 0 /\ -a + c + 1 >= 0 /\ -b + 8 >= 0 /\ a - b + 7 >= 0 /\ -a - b + 9 >= 0 /\ b >= 0 /\ a + b - 1 >= 0 /\ -a + b + 1 >= 0 /\ -a + 1 >= 0 /\ a - 1 >= 0 /\ b + k >= c + l + 1 ] start location: f0 leaf cost: 6 Complexity upper bound 1157351968 Time: 5.312 sec (SMT: 4.701 sec)