<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font>, <font color="Maroon">c<sub>6</sub></font>, <font color="Maroon">c<sub>7</sub></font>, <font color="Maroon">c<sub>8</sub></font>, <font color="Maroon">c<sub>9</sub></font>, <font color="Maroon">c<sub>10</sub></font>, <font color="Maroon">c<sub>11</sub></font>, <font color="Maroon">c<sub>12</sub></font>, <font color="Maroon">c<sub>13</sub></font>, <font color="Maroon">c<sub>14</sub></font>, <font color="Maroon">c<sub>15</sub></font>, <font color="Maroon">c<sub>16</sub></font>, <font color="Maroon">c<sub>17</sub></font>, <font color="Maroon">c<sub>18</sub></font>, <font color="Maroon">c<sub>19</sub></font>, <font color="Maroon">c<sub>20</sub></font>, <font color="Maroon">c<sub>21</sub></font>, <font color="Maroon">c<sub>22</sub></font>, <font color="Maroon">c<sub>23</sub></font>, <font color="Maroon">c<sub>24</sub></font>, <font color="Maroon">c<sub>25</sub></font>, <font color="Maroon">c<sub>26</sub></font>, <font color="Maroon">c<sub>27</sub></font>, <font color="Maroon">c<sub>28</sub></font>, <font color="Maroon">c<sub>29</sub></font>, <font color="Maroon">c<sub>30</sub></font>, <font color="Maroon">c<sub>31</sub></font>, <font color="Maroon">c<sub>32</sub></font>, <font color="Maroon">c<sub>33</sub></font>, <font color="Maroon">c<sub>34</sub></font>, <font color="Maroon">c<sub>35</sub></font>, <font color="Maroon">c<sub>36</sub></font>, <font color="Maroon">c<sub>37</sub></font>, <font color="Maroon">c<sub>38</sub></font>, <font color="Maroon">c<sub>39</sub></font>, <font color="Maroon">c<sub>40</sub></font>, <font color="Maroon">c<sub>41</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:6"/><i><font color="Green">E1</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>1</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>35</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>34</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>33</sub></font></span>)</span> )
 <b>and </b><br/><a NAME="E2:6"/><i><font color="Green">E2</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>2</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>35</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>34</sub></font></span>)</span>,<font color="Maroon">c<sub>33</sub></font> )
 <b>and </b><br/><a NAME="E3:6"/><i><font color="Green">E3</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>3</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>35</sub></font></span>)</span>,<font color="Maroon">c<sub>34</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>33</sub></font></span>)</span> )
 <b>and </b><br/><a NAME="E4:6"/><i><font color="Green">E4</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>4</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>35</sub></font></span>)</span>,<font color="Maroon">c<sub>34</sub></font>,<font color="Maroon">c<sub>33</sub></font> )
 <b>and </b><br/><a NAME="E5:6"/><i><font color="Green">E5</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>5</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font></span>)</span>,<font color="Maroon">c<sub>35</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>34</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>33</sub></font></span>)</span> )
 <b>and </b><br/><a NAME="E6:6"/><i><font color="Green">E6</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>6</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font></span>)</span>,<font color="Maroon">c<sub>35</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>34</sub></font></span>)</span>,<font color="Maroon">c<sub>33</sub></font> )
 <b>and </b><br/><a NAME="E7:6"/><i><font color="Green">E7</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>7</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font></span>)</span>,<font color="Maroon">c<sub>35</sub></font>,<font color="Maroon">c<sub>34</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>33</sub></font></span>)</span> )
 <b>and </b><br/><a NAME="E8:6"/><i><font color="Green">E8</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>8</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font></span>)</span>,<font color="Maroon">c<sub>35</sub></font>,<font color="Maroon">c<sub>34</sub></font>,<font color="Maroon">c<sub>33</sub></font> )
 <b>and </b><br/><a NAME="E9:6"/><i><font color="Green">E9</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>9</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <font color="Maroon">c<sub>36</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>35</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>34</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>33</sub></font></span>)</span> )
 <b>and </b><br/><a NAME="E10:6"/><i><font color="Green">E10</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>10</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <font color="Maroon">c<sub>36</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>35</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>34</sub></font></span>)</span>,<font color="Maroon">c<sub>33</sub></font> )
 <b>and </b><br/><a NAME="E11:6"/><i><font color="Green">E11</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>11</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <font color="Maroon">c<sub>36</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>35</sub></font></span>)</span>,<font color="Maroon">c<sub>34</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>33</sub></font></span>)</span> )
 <b>and </b><br/><a NAME="E12:6"/><i><font color="Green">E12</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>12</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <font color="Maroon">c<sub>36</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>35</sub></font></span>)</span>,<font color="Maroon">c<sub>34</sub></font>,<font color="Maroon">c<sub>33</sub></font> )
 <b>and </b><br/><a NAME="E13:6"/><i><font color="Green">E13</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>13</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <font color="Maroon">c<sub>36</sub></font>,<font color="Maroon">c<sub>35</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>34</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>33</sub></font></span>)</span> )
 <b>and </b><br/><a NAME="E14:6"/><i><font color="Green">E14</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>14</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <font color="Maroon">c<sub>36</sub></font>,<font color="Maroon">c<sub>35</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>34</sub></font></span>)</span>,<font color="Maroon">c<sub>33</sub></font> )
 <b>and </b><br/><a NAME="E15:6"/><i><font color="Green">E15</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>15</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <font color="Maroon">c<sub>36</sub></font>,<font color="Maroon">c<sub>35</sub></font>,<font color="Maroon">c<sub>34</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>33</sub></font></span>)</span> )
 <b>and </b><br/><a NAME="E16:6"/><i><font color="Green">E16</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>16</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <font color="Maroon">c<sub>36</sub></font>,<font color="Maroon">c<sub>35</sub></font>,<font color="Maroon">c<sub>34</sub></font>,<font color="Maroon">c<sub>33</sub></font> )
 <b>and </b><br/><a NAME="E17:6"/><i><font color="Green">E17</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>17</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>40</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>39</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>38</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>37</sub></font></span>)</span> )
 <b>and </b><br/><a NAME="E18:6"/><i><font color="Green">E18</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>18</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>40</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>39</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>38</sub></font></span>)</span>,<font color="Maroon">c<sub>37</sub></font> )
 <b>and </b><br/><a NAME="E19:6"/><i><font color="Green">E19</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>19</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>40</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>39</sub></font></span>)</span>,<font color="Maroon">c<sub>38</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>37</sub></font></span>)</span> )
 <b>and </b><br/><a NAME="E20:6"/><i><font color="Green">E20</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>20</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>40</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>39</sub></font></span>)</span>,<font color="Maroon">c<sub>38</sub></font>,<font color="Maroon">c<sub>37</sub></font> )
 <b>and </b><br/><a NAME="E21:6"/><i><font color="Green">E21</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>21</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>40</sub></font></span>)</span>,<font color="Maroon">c<sub>39</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>38</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>37</sub></font></span>)</span> )
 <b>and </b><br/><a NAME="E22:6"/><i><font color="Green">E22</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>22</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>40</sub></font></span>)</span>,<font color="Maroon">c<sub>39</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>38</sub></font></span>)</span>,<font color="Maroon">c<sub>37</sub></font> )
 <b>and </b><br/><a NAME="E23:6"/><i><font color="Green">E23</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>23</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>40</sub></font></span>)</span>,<font color="Maroon">c<sub>39</sub></font>,<font color="Maroon">c<sub>38</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>37</sub></font></span>)</span> )
 <b>and </b><br/><a NAME="E24:6"/><i><font color="Green">E24</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>24</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>40</sub></font></span>)</span>,<font color="Maroon">c<sub>39</sub></font>,<font color="Maroon">c<sub>38</sub></font>,<font color="Maroon">c<sub>37</sub></font> )
 <b>and </b><br/><a NAME="E25:6"/><i><font color="Green">E25</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>25</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <font color="Maroon">c<sub>40</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>39</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>38</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>37</sub></font></span>)</span> )
 <b>and </b><br/><a NAME="E26:6"/><i><font color="Green">E26</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>26</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <font color="Maroon">c<sub>40</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>39</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>38</sub></font></span>)</span>,<font color="Maroon">c<sub>37</sub></font> )
 <b>and </b><br/><a NAME="E27:6"/><i><font color="Green">E27</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>27</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <font color="Maroon">c<sub>40</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>39</sub></font></span>)</span>,<font color="Maroon">c<sub>38</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>37</sub></font></span>)</span> )
 <b>and </b><br/><a NAME="E28:6"/><i><font color="Green">E28</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>28</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <font color="Maroon">c<sub>40</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>39</sub></font></span>)</span>,<font color="Maroon">c<sub>38</sub></font>,<font color="Maroon">c<sub>37</sub></font> )
 <b>and </b><br/><a NAME="E29:6"/><i><font color="Green">E29</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>29</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <font color="Maroon">c<sub>40</sub></font>,<font color="Maroon">c<sub>39</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>38</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>37</sub></font></span>)</span> )
 <b>and </b><br/><a NAME="E30:6"/><i><font color="Green">E30</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>30</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <font color="Maroon">c<sub>40</sub></font>,<font color="Maroon">c<sub>39</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>38</sub></font></span>)</span>,<font color="Maroon">c<sub>37</sub></font> )
 <b>and </b><br/><a NAME="E31:6"/><i><font color="Green">E31</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>31</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <font color="Maroon">c<sub>40</sub></font>,<font color="Maroon">c<sub>39</sub></font>,<font color="Maroon">c<sub>38</sub></font>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>37</sub></font></span>)</span> )
 <b>and </b><br/><a NAME="E32:6"/><i><font color="Green">E32</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>32</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K14">AND4</a> <font color="Maroon">c<sub>40</sub></font>,<font color="Maroon">c<sub>39</sub></font>,<font color="Maroon">c<sub>38</sub></font>,<font color="Maroon">c<sub>37</sub></font> )
 <b>and </b><br/><a NAME="E33:6"/><i><font color="Green">E33</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>37</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K2">AND2</a> <span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font></span>)</span>,<font color="Maroon">c<sub>41</sub></font> )
 <b>and </b><br/><a NAME="E34:6"/><i><font color="Green">E34</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>38</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K2">AND2</a> <font color="Maroon">c<sub>33</sub></font>,<font color="Maroon">c<sub>41</sub></font> )
 <b>and </b><br/><a NAME="E35:6"/><i><font color="Green">E35</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>39</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K2">AND2</a> <font color="Maroon">c<sub>34</sub></font>,<font color="Maroon">c<sub>41</sub></font> )
 <b>and </b><br/><a NAME="E36:6"/><i><font color="Green">E36</font></i>: 
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>40</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K2">AND2</a> <font color="Maroon">c<sub>35</sub></font>,<font color="Maroon">c<sub>41</sub></font> )
 ;<br/>

<a NAME="E37:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>18</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>40</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>39</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>38</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>37</sub></font> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E18:6"><i><font color="Green">E18</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E38:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>18</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>35</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>34</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>33</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:6"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:6"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:6"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:6"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a></i>;<br/>
<a NAME="E39:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>18</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>35</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>34</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>33</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) )
 
<b>by </b><i><a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E40:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>18</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K2">AND2</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>41</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E1:6"><i><font color="Green">E1</font></i></a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E41:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>20</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>40</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>39</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>38</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>37</sub></font> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E20:6"><i><font color="Green">E20</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E42:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>20</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>35</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>34</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>33</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:6"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:6"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:6"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:6"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a></i>;<br/>
<a NAME="E43:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>20</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>35</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>34</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>33</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) )
 
<b>by </b><i><a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E44:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>20</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K2">AND2</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>41</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E2:6"><i><font color="Green">E2</font></i></a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E45:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>24</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>40</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>39</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>38</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>37</sub></font> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E24:6"><i><font color="Green">E24</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E46:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>24</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>35</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>34</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>33</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:6"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:6"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:6"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:6"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a></i>;<br/>
<a NAME="E47:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>24</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>35</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>34</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>33</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) )
 
<b>by </b><i><a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E48:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>24</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K2">AND2</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>41</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E4:6"><i><font color="Green">E4</font></i></a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E49:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>32</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>35</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>34</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>33</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E32:6"><i><font color="Green">E32</font></i></a>, <a class="txt" href="gate_3.html#E33:6"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:6"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:6"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:6"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<b>hence </b><a NAME="E50:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>32</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K2">AND2</a> <font color="Maroon">c<sub>8</sub></font>,<font color="Maroon">c<sub>41</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E8:6"><i><font color="Green">E8</font></i></a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E51:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>31</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>40</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>39</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>38</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>37</sub></font> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E31:6"><i><font color="Green">E31</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E52:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>31</sub></font> iff ( (  not  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>35</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>34</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>33</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:6"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:6"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:6"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:6"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a></i>;<br/>
<a NAME="E53:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>31</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>36</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>35</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>34</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>33</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) )
 
<b>by </b><i><a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E54:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>31</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K2">AND2</a> <font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>41</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E16:6"><i><font color="Green">E16</font></i></a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E55:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>29</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>40</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>39</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>38</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>37</sub></font> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E29:6"><i><font color="Green">E29</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E56:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>29</sub></font> iff ( (  not  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>35</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>34</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>33</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:6"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:6"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:6"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:6"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a></i>;<br/>
<a NAME="E57:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>29</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>36</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>35</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>34</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>33</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) )
 
<b>by </b><i><a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E58:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>29</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K2">AND2</a> <font color="Maroon">c<sub>15</sub></font>,<font color="Maroon">c<sub>41</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E15:6"><i><font color="Green">E15</font></i></a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E59:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>25</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>40</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>39</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>38</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>37</sub></font> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E25:6"><i><font color="Green">E25</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E60:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>25</sub></font> iff ( (  not  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>35</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>34</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>33</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:6"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:6"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:6"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:6"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a></i>;<br/>
<a NAME="E61:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>25</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>36</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>35</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>34</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>33</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) )
 
<b>by </b><i><a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E62:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>25</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K2">AND2</a> <font color="Maroon">c<sub>13</sub></font>,<font color="Maroon">c<sub>41</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E13:6"><i><font color="Green">E13</font></i></a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E63:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>17</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>40</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>39</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>38</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>37</sub></font> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E17:6"><i><font color="Green">E17</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E64:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>17</sub></font> iff ( (  not  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>35</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>34</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>33</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:6"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:6"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:6"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:6"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a></i>;<br/>
<a NAME="E65:6"/><b>then </b>
( ( (  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>36</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>35</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>34</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>33</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) iff  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>17</sub></font> )
 
<b>by </b><i><a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<a NAME="E66:6"/><b>then </b>
( (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K2">AND2</a> <font color="Maroon">c<sub>9</sub></font>,<font color="Maroon">c<sub>41</sub></font> or  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>41</sub></font> ) iff  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>17</sub></font> )
 
<b>by </b><i><a class="txt" href="gate_3.html#E9:6"><i><font color="Green">E9</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<b>hence </b><a NAME="E67:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>17</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K3">OR2</a> <span class="p1">(<span class="default"><a href="gate_1.html#K2">AND2</a> <font color="Maroon">c<sub>9</sub></font>,<font color="Maroon">c<sub>41</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>41</sub></font></span>)</span> )
 <b>by </b><i><a class="ref" href="gate_1.html#T7">GATE_1:7</a></i>;<br/>

<a NAME="E68:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>22</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>40</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>39</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>38</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>37</sub></font> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E22:6"><i><font color="Green">E22</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E69:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>22</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>35</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>34</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>33</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:6"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:6"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:6"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:6"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a></i>;<br/>
<a NAME="E70:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>22</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>35</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>34</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>33</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) )
 
<b>by </b><i><a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E71:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>22</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K2">AND2</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>41</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E3:6"><i><font color="Green">E3</font></i></a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E72:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>28</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>40</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>39</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>38</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>37</sub></font> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E28:6"><i><font color="Green">E28</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E73:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>28</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>35</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>34</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>33</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:6"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:6"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:6"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:6"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a></i>;<br/>
<a NAME="E74:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>28</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>35</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>34</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>33</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) )
 
<b>by </b><i><a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E75:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>28</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K2">AND2</a> <font color="Maroon">c<sub>6</sub></font>,<font color="Maroon">c<sub>41</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E6:6"><i><font color="Green">E6</font></i></a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E76:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>23</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>40</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>39</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>38</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>37</sub></font> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E23:6"><i><font color="Green">E23</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E77:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>23</sub></font> iff ( (  not  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>35</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>34</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>33</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:6"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:6"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:6"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:6"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a></i>;<br/>
<a NAME="E78:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>23</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>36</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>35</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>34</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>33</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) )
 
<b>by </b><i><a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E79:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>23</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K2">AND2</a> <font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>41</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E12:6"><i><font color="Green">E12</font></i></a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E80:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>30</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>40</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>39</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>38</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>37</sub></font> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E30:6"><i><font color="Green">E30</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E81:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>30</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>35</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>34</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>33</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:6"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:6"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:6"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:6"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a></i>;<br/>
<a NAME="E82:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>30</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>35</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>34</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>33</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) )
 
<b>by </b><i><a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E83:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>30</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K2">AND2</a> <font color="Maroon">c<sub>7</sub></font>,<font color="Maroon">c<sub>41</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E7:6"><i><font color="Green">E7</font></i></a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E84:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>27</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>40</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>39</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>38</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>37</sub></font> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E27:6"><i><font color="Green">E27</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E85:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>27</sub></font> iff ( (  not  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>35</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>34</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>33</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:6"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:6"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:6"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:6"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a></i>;<br/>
<a NAME="E86:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>27</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>36</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>35</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>34</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>33</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) )
 
<b>by </b><i><a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E87:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>27</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K2">AND2</a> <font color="Maroon">c<sub>14</sub></font>,<font color="Maroon">c<sub>41</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E14:6"><i><font color="Green">E14</font></i></a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E88:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>21</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>40</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>39</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>38</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>37</sub></font> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E21:6"><i><font color="Green">E21</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E89:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>21</sub></font> iff ( (  not  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>35</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>34</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>33</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:6"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:6"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:6"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:6"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a></i>;<br/>
<a NAME="E90:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>21</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>36</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>35</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>34</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>33</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) )
 
<b>by </b><i><a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E91:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>21</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K2">AND2</a> <font color="Maroon">c<sub>11</sub></font>,<font color="Maroon">c<sub>41</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E11:6"><i><font color="Green">E11</font></i></a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E92:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>26</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>40</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>39</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>38</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>37</sub></font> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E26:6"><i><font color="Green">E26</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E93:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>26</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>35</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>34</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>33</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:6"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:6"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:6"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:6"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a></i>;<br/>
<a NAME="E94:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>26</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>35</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>34</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>33</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) )
 
<b>by </b><i><a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E95:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>26</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K2">AND2</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>41</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E5:6"><i><font color="Green">E5</font></i></a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E96:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>19</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>40</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>39</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>38</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>37</sub></font> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E19:6"><i><font color="Green">E19</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E97:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>19</sub></font> iff ( (  not  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>35</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp; (  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>34</sub></font> or  not  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>33</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:6"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:6"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:6"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:6"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a></i>;<br/>
<a NAME="E98:6"/><b>then </b>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>19</sub></font> iff (  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>36</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>35</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K1">NOT1</a> <font color="Maroon">c<sub>34</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>33</sub></font> &amp;  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>41</sub></font> ) )
 
<b>by </b><i><a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E99:6"/>
(  <a href="gate_1.html#NR1" target="_self">$</a> <font color="Maroon">c<sub>19</sub></font> iff  <a href="gate_1.html#NR1" target="_self">$</a>  <a href="gate_1.html#K2">AND2</a> <font color="Maroon">c<sub>10</sub></font>,<font color="Maroon">c<sub>41</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E10:6"><i><font color="Green">E10</font></i></a>, <a class="ref" href="gate_1.html#T6">GATE_1:6</a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>


</div>
