<?xml version="1.0"?>
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<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> be    <a href="hidden.html#M1">set</a> ;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:5"/><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="E2:5"/><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="E3:5"/><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="E4:5"/><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="E5:5"/><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="E6:5"/><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="E7:5"/><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="E8:5"/><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="E9:5"/><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="E10:5"/><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="E11:5"/><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="E12:5"/><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="E13:5"/><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="E14:5"/><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="E15:5"/><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="E16:5"/><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="E17:5"/><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="E18:5"/><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="E19:5"/><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="E20:5"/><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="E21:5"/><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="E22:5"/><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="E23:5"/><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="E24:5"/><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="E25:5"/><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="E26:5"/><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="E27:5"/><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="E28:5"/><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="E29:5"/><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="E30:5"/><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="E31:5"/><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="E32:5"/><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="E33:5"/><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#K1">NOT1</a> <font color="Maroon">c<sub>36</sub></font> )
 <b>and </b><br/><a NAME="E34:5"/><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> <font color="Maroon">c<sub>33</sub></font> )
 <b>and </b><br/><a NAME="E35:5"/><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> <font color="Maroon">c<sub>34</sub></font> )
 <b>and </b><br/><a NAME="E36:5"/><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> <font color="Maroon">c<sub>35</sub></font> )
 ;<br/>

<a NAME="E37:5"/>
(  <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#E18:5"><i><font color="Green">E18</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E38:5"/><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> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:5"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:5"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:5"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:5"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E39:5"/>
(  <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> <font color="Maroon">c<sub>1</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E1:5"><i><font color="Green">E1</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E40:5"/>
(  <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#E20:5"><i><font color="Green">E20</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E41:5"/><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> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:5"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:5"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:5"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:5"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E42:5"/>
(  <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> <font color="Maroon">c<sub>2</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E2:5"><i><font color="Green">E2</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E43:5"/>
(  <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#E24:5"><i><font color="Green">E24</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E44:5"/><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> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:5"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:5"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:5"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:5"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E45:5"/>
(  <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> <font color="Maroon">c<sub>4</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E4:5"><i><font color="Green">E4</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<b>thus </b><a NAME="E46:5"/>
(  <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> <font color="Maroon">c<sub>8</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E8:5"><i><font color="Green">E8</font></i></a>, <a class="txt" href="gate_3.html#E32:5"><i><font color="Green">E32</font></i></a>, <a class="txt" href="gate_3.html#E33:5"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:5"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:5"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:5"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E47:5"/>
(  <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#E31:5"><i><font color="Green">E31</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E48:5"/><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> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:5"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:5"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:5"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:5"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E49:5"/>
(  <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>16</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E16:5"><i><font color="Green">E16</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E50:5"/>
(  <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#E29:5"><i><font color="Green">E29</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E51:5"/><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> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:5"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:5"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:5"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:5"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E52:5"/>
(  <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>15</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E15:5"><i><font color="Green">E15</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E53:5"/>
(  <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#E25:5"><i><font color="Green">E25</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E54:5"/><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> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:5"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:5"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:5"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:5"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E55:5"/>
(  <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>13</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E13:5"><i><font color="Green">E13</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E56:5"/>
(  <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#E17:5"><i><font color="Green">E17</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E57:5"/><b>then </b>
(  <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> <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> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:5"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:5"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:5"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:5"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E58:5"/>
(  <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> <font color="Maroon">c<sub>9</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E9:5"><i><font color="Green">E9</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E59:5"/>
(  <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#E22:5"><i><font color="Green">E22</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E60:5"/><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> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:5"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:5"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:5"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:5"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E61:5"/>
(  <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> <font color="Maroon">c<sub>3</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E3:5"><i><font color="Green">E3</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E62:5"/>
(  <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#E28:5"><i><font color="Green">E28</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E63:5"/><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> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:5"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:5"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:5"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:5"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E64:5"/>
(  <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>6</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E6:5"><i><font color="Green">E6</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E65:5"/>
(  <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#E23:5"><i><font color="Green">E23</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E66:5"/><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> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:5"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:5"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:5"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:5"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E67:5"/>
(  <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>12</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E12:5"><i><font color="Green">E12</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E68:5"/>
(  <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#E30:5"><i><font color="Green">E30</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E69:5"/><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> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:5"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:5"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:5"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:5"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E70:5"/>
(  <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>7</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E7:5"><i><font color="Green">E7</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E71:5"/>
(  <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#E27:5"><i><font color="Green">E27</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E72:5"/><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> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:5"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:5"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:5"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:5"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E73:5"/>
(  <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>14</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E14:5"><i><font color="Green">E14</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E74:5"/>
(  <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#E21:5"><i><font color="Green">E21</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E75:5"/><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> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:5"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:5"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:5"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:5"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E76:5"/>
(  <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>11</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E11:5"><i><font color="Green">E11</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E77:5"/>
(  <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#E26:5"><i><font color="Green">E26</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E78:5"/><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> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:5"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:5"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:5"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:5"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E79:5"/>
(  <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>5</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E5:5"><i><font color="Green">E5</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>

<a NAME="E80:5"/>
(  <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#E19:5"><i><font color="Green">E19</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>
<a NAME="E81:5"/><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> ) )
 
<b>by </b><i><a class="txt" href="gate_3.html#E33:5"><i><font color="Green">E33</font></i></a>, <a class="txt" href="gate_3.html#E34:5"><i><font color="Green">E34</font></i></a>, <a class="txt" href="gate_3.html#E35:5"><i><font color="Green">E35</font></i></a>, <a class="txt" href="gate_3.html#E36:5"><i><font color="Green">E36</font></i></a>, <a class="ref" href="gate_1.html#T4">GATE_1:4</a></i>;<br/>
<b>hence </b><a NAME="E82:5"/>
(  <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>10</sub></font> )
 <b>by </b><i><a class="txt" href="gate_3.html#E10:5"><i><font color="Green">E10</font></i></a>, <a class="ref" href="gate_1.html#T22">GATE_1:22</a></i>;<br/>


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