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AbstractPacemaker_po.log
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AbstractPacemaker: proof obligation 1
[aperiod >= 0,
vdelay >= 0,
ForAll(i, Implies(i <= 0, tr[i] == NDF)),
ForAll(i,
Implies(And(i >= 1, tr[i] != NDF),
ForAll(j,
Implies(And(j >= 1, j <= i),
tr[j] != NDF)))),
ForAll(i,
Implies(And(i >= 1, tr[i] == NDF),
ForAll(j, Implies(j >= i, tr[j] == NDF)))),
Or(And(len_tr(tr) == 0, tr[1] == NDF),
And(len_tr(tr) > 0,
tr[len_tr(tr)] != NDF,
tr[len_tr(tr) + 1] == NDF)),
And(len_tr(tr) == 100, Not(aperiod > 0))]
sat
model: [tr = [else -> k!11!13(k!12(Var(0)))],
aperiod = 0,
vdelay = 0,
k!11 = [else -> k!11!13(k!12(Var(0)))],
k!11!13 = [101 -> NDF, 0 -> NDF, else -> A],
len_tr = [as-array -> 100, else -> 101],
k!12 = [else ->
If(Var(0) >= 1,
If(Var(0) >= 100,
If(Var(0) >= 101, 101, 100),
1),
0)]]
--- 0.031 seconds ---
AbstractPacemaker: proof obligation 2
[aperiod >= 0,
vdelay >= 0,
ForAll(i, Implies(i <= 0, tr[i] == NDF)),
ForAll(i,
Implies(And(i >= 1, tr[i] != NDF),
ForAll(j,
Implies(And(j >= 1, j <= i),
tr[j] != NDF)))),
ForAll(i,
Implies(And(i >= 1, tr[i] == NDF),
ForAll(j, Implies(j >= i, tr[j] == NDF)))),
Or(And(len_tr(tr) == 0, tr[1] == NDF),
And(len_tr(tr) > 0,
tr[len_tr(tr)] != NDF,
tr[len_tr(tr) + 1] == NDF)),
And(len_tr(tr) == 100, And(aperiod >= 1, Not(aperiod > 0)))]
unsat
--- 0.031 seconds ---
AbstractPacemaker: proof obligation 3
[aperiod >= 0,
vdelay >= 0,
ForAll(i, Implies(i <= 0, tr[i] == NDF)),
ForAll(i,
Implies(And(i >= 1, tr[i] != NDF),
ForAll(j,
Implies(And(j >= 1, j <= i),
tr[j] != NDF)))),
ForAll(i,
Implies(And(i >= 1, tr[i] == NDF),
ForAll(j, Implies(j >= i, tr[j] == NDF)))),
Or(And(len_tr(tr) == 0, tr[1] == NDF),
And(len_tr(tr) > 0,
tr[len_tr(tr)] != NDF,
tr[len_tr(tr) + 1] == NDF)),
len_tr(tr) == 100,
aperiod >= 1,
ForAll(t,
Implies(And(t >= 1, t <= len_tr(tr)),
Implies(tr[t] == A,
Implies(t + aperiod <= len_tr(tr),
And(And(tr[t + aperiod] == A,
ForAll(i,
Implies(And(i >=
t + 1,
i <= t + aperiod - 1),
tr[i] != A))),
Implies(t + aperiod >
len_tr(tr),
ForAll(i,
Implies(And(i >=
t + 1,
i <= len_tr(tr)),
tr[i] != A)))))))),
Not(ForAll(t,
Implies(And(t >= 1, t <= len_tr(tr)),
Implies(tr[t] == V,
Implies(t + aperiod <=
len_tr(tr),
And(And(tr[t + aperiod] ==
V,
ForAll(i,
Implies(And(i >=
t + 1,
i <= t + aperiod - 1),
tr[i] != V))),
Implies(t + aperiod >
len_tr(tr),
ForAll(i,
Implies(And(i >=
t + 1,
i <= len_tr(tr)),
tr[i] != V)))))))))]
sat
model: [tr = [else -> k!142!144(k!143(Var(0)))],
i!24 = 52,
t!22 = 18,
aperiod = 5,
vdelay = 0,
i!23 = 34,
k!143 = [else ->
If(Var(0) >= 1,
If(Var(0) >= 4,
If(Var(0) >= 5,
If(Var(0) >= 6,
If(Var(0) >= 9,
If(Var(0) >= 10,
If(Var(0) >= 11,
If(Var(0) >= 14,
If(Var(0) >= 15,
If(Var(0) >= 16,
If(Var(0) >= 18,
If(Var(0) >= 19,
If(Var(0) >= 20,
If(Var(0) >= 21,
If(Var(0) >= 23,
If(Var(0) >= 24,
If(Var(0) >= 25,
If(Var(0) >= 26,
If(Var(0) >= 27,
If(... >= ...,
If(..., ..., ...),
27),
26),
25),
24),
23),
21),
20),
19),
18),
16),
15),
14),
11),
10),
9),
6),
5),
4),
1),
0)],
len_tr = [as-array -> 100, else -> 84],
k!142!144 = [108 -> NDF,
106 -> NDF,
48 -> A,
98 -> A,
146 -> NDF,
63 -> A,
73 -> A,
0 -> NDF,
115 -> NDF,
102 -> NDF,
58 -> A,
111 -> NDF,
126 -> NDF,
140 -> NDF,
141 -> NDF,
33 -> A,
150 -> NDF,
161 -> NDF,
88 -> A,
135 -> NDF,
38 -> A,
130 -> NDF,
93 -> A,
105 -> NDF,
116 -> NDF,
151 -> NDF,
53 -> A,
120 -> NDF,
68 -> A,
28 -> A,
23 -> A,
83 -> A,
121 -> NDF,
110 -> NDF,
101 -> NDF,
160 -> NDF,
100 -> A,
145 -> NDF,
125 -> NDF,
43 -> A,
78 -> A,
155 -> NDF,
131 -> NDF,
156 -> NDF,
103 -> NDF,
136 -> NDF,
else -> V],
k!142 = [else -> k!142!144(k!143(Var(0)))]]
--- 15.109 seconds ---
AbstractPacemaker: proof obligation 4
[aperiod >= 0,
vdelay >= 0,
ForAll(i, Implies(i <= 0, tr[i] == NDF)),
ForAll(i,
Implies(And(i >= 1, tr[i] != NDF),
ForAll(j,
Implies(And(j >= 1, j <= i),
tr[j] != NDF)))),
ForAll(i,
Implies(And(i >= 1, tr[i] == NDF),
ForAll(j, Implies(j >= i, tr[j] == NDF)))),
Or(And(len_tr(tr) == 0, tr[1] == NDF),
And(len_tr(tr) > 0,
tr[len_tr(tr)] != NDF,
tr[len_tr(tr) + 1] == NDF)),
e != NDF,
p >= 1,
t >= 0,
And(And(t >= 1, t <= len_tr(tr)),
Not(And(t >= 1, t <= len_tr(tr))))]
unsat
--- 0.032 seconds ---
AbstractPacemaker: proof obligation 5
[aperiod >= 0,
vdelay >= 0,
ForAll(i, Implies(i <= 0, tr[i] == NDF)),
ForAll(i,
Implies(And(i >= 1, tr[i] != NDF),
ForAll(j,
Implies(And(j >= 1, j <= i),
tr[j] != NDF)))),
ForAll(i,
Implies(And(i >= 1, tr[i] == NDF),
ForAll(j, Implies(j >= i, tr[j] == NDF)))),
Or(And(len_tr(tr) == 0, tr[1] == NDF),
And(len_tr(tr) > 0,
tr[len_tr(tr)] != NDF,
tr[len_tr(tr) + 1] == NDF)),
e != NDF,
p >= 1,
And(t >= 1, t <= len_tr(tr)),
tr[t] == e,
t + p <= len_tr(tr),
Not(And(t + p >= 1, t + p <= len_tr(tr)))]
unsat
--- 0.046 seconds ---
AbstractPacemaker: proof obligation 6
[aperiod >= 0,
vdelay >= 0,
ForAll(i, Implies(i <= 0, tr[i] == NDF)),
ForAll(i,
Implies(And(i >= 1, tr[i] != NDF),
ForAll(j,
Implies(And(j >= 1, j <= i),
tr[j] != NDF)))),
ForAll(i,
Implies(And(i >= 1, tr[i] == NDF),
ForAll(j, Implies(j >= i, tr[j] == NDF)))),
Or(And(len_tr(tr) == 0, tr[1] == NDF),
And(len_tr(tr) > 0,
tr[len_tr(tr)] != NDF,
tr[len_tr(tr) + 1] == NDF)),
e != NDF,
p >= 1,
And(t >= 1, t <= len_tr(tr)),
tr[t] == e,
t + p <= len_tr(tr),
And(t + p >= 1, tr[t + p] == e),
And(i >= t + 1, i <= t + p - 1),
Not(And(t + p >= 1, t + p <= len_tr(tr)))]
unsat
--- 0.048 seconds ---
AbstractPacemaker: proof obligation 7
[aperiod >= 0,
vdelay >= 0,
ForAll(i, Implies(i <= 0, tr[i] == NDF)),
ForAll(i,
Implies(And(i >= 1, tr[i] != NDF),
ForAll(j,
Implies(And(j >= 1, j <= i),
tr[j] != NDF)))),
ForAll(i,
Implies(And(i >= 1, tr[i] == NDF),
ForAll(j, Implies(j >= i, tr[j] == NDF)))),
Or(And(len_tr(tr) == 0, tr[1] == NDF),
And(len_tr(tr) > 0,
tr[len_tr(tr)] != NDF,
tr[len_tr(tr) + 1] == NDF)),
e != NDF,
p >= 1,
And(t >= 1, t <= len_tr(tr)),
tr[t] == e,
t + p <= len_tr(tr),
And(t + p >= 1, tr[t + p] == e),
ForAll(i,
Implies(And(i >= t + 1, i <= t + p + 1), tr[i] != e)),
And(t + p >= 1, t + p > len_tr(tr)),
And(j >= t + 1, j <= len_tr(tr)),
Not(And(j >= 1, j <= len_tr(tr)))]
unsat
--- 0.062 seconds ---
AbstractPacemaker: proof obligation 8
[aperiod >= 0,
vdelay >= 0,
ForAll(i, Implies(i <= 0, tr[i] == NDF)),
ForAll(i,
Implies(And(i >= 1, tr[i] != NDF),
ForAll(j,
Implies(And(j >= 1, j <= i),
tr[j] != NDF)))),
ForAll(i,
Implies(And(i >= 1, tr[i] == NDF),
ForAll(j, Implies(j >= i, tr[j] == NDF)))),
Or(And(len_tr(tr) == 0, tr[1] == NDF),
And(len_tr(tr) > 0,
tr[len_tr(tr)] != NDF,
tr[len_tr(tr) + 1] == NDF)),
aperi >= 1,
vdel >= 1,
And(i >= 1, i <= len_tr(tr) - 1),
i%aperi == vdel + 1,
Not(And(i >= 1, i <= len_tr(tr)))]
unsat
--- 0.031 seconds ---
AbstractPacemaker: proof obligation 9
[aperiod >= 0,
vdelay >= 0,
ForAll(i, Implies(i <= 0, tr[i] == NDF)),
ForAll(i,
Implies(And(i >= 1, tr[i] != NDF),
ForAll(j,
Implies(And(j >= 1, j <= i),
tr[j] != NDF)))),
ForAll(i,
Implies(And(i >= 1, tr[i] == NDF),
ForAll(j, Implies(j >= i, tr[j] == NDF)))),
Or(And(len_tr(tr) == 0, tr[1] == NDF),
And(len_tr(tr) > 0,
tr[len_tr(tr)] != NDF,
tr[len_tr(tr) + 1] == NDF)),
aperi >= 1,
vdel >= 1,
Not(len_tr(tr) > 0)]
sat
model: [tr = [else -> NDF],
aperi = 1,
aperiod = 5,
vdelay = 0,
vdel = 1,
k!268 = [else -> NDF],
len_tr = [as-array -> 0, else -> 5]]
--- 0.047 seconds ---