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<source>rw1.out</source>

<heading><![CDATA[
Mace4 (32) version 2009-02A, February 2009.
Process 11180 was started by mccune on cleo,
Wed Feb 25 09:32:05 2009
The command was "/home/mccune/bin/mace4 -f rw1.in".
]]></heading>

<input><![CDATA[
formulas(assumptions).
x ^ y = y ^ x.
(x ^ y) ^ z = x ^ (y ^ z).
x v y = y v x.
(x v y) v z = x v (y v z).
x v (x ^ y) = x.
x ^ (x v y) = x.
x ^ x = x.
x v x = x.
c(x) ^ x = 0.
c(x) v x = 1.
c(c(x)) = x.
x ^ y = c(c(x) v c(y)).
1 v x = 1.
1 ^ x = x.
0 ^ x = 0.
0 v x = x.
(c(x) ^ (x v y)) v (c(y) v (x ^ y)) = 1.
A ^ (B v (A ^ (c(A) v (A ^ B)))) != A ^ (c(A) v (A ^ B)).
end_of_list.
]]></input>

  <interp size="20" number="1" seconds="1">

    <op0 type="function">
      <sym><![CDATA[A]]></sym>
      <v>2</v>
    </op0>

    <op0 type="function">
      <sym><![CDATA[B]]></sym>
      <v>4</v>
    </op0>

    <op1 type="function">
        <sym><![CDATA[c]]></sym>
        <head><i>0</i><i>1</i><i>2</i><i>3</i><i>4</i><i>5</i><i>6</i><i>7</i><i>8</i><i>9</i><i>10</i><i>11</i><i>12</i><i>13</i><i>14</i><i>15</i><i>16</i><i>17</i><i>18</i><i>19</i></head>
        <row> <v>1</v><v>0</v><v>3</v><v>2</v><v>5</v><v>4</v><v>7</v><v>6</v><v>9</v><v>8</v><v>11</v><v>10</v><v>13</v><v>12</v><v>15</v><v>14</v><v>17</v><v>16</v><v>19</v><v>18</v></row>
    </op1>

    <op2 type="function">
        <sym><![CDATA[^]]></sym>
        <head>        <i>0</i><i>1</i><i>2</i><i>3</i><i>4</i><i>5</i><i>6</i><i>7</i><i>8</i><i>9</i><i>10</i><i>11</i><i>12</i><i>13</i><i>14</i><i>15</i><i>16</i><i>17</i><i>18</i><i>19</i></head>
        <row><i>0</i> <v>0</v><v>0</v><v>0</v><v>0</v><v>0</v><v>0</v><v>0</v><v>0</v><v>0</v><v>0</v><v>0</v><v>0</v><v>0</v><v>0</v><v>0</v><v>0</v><v>0</v><v>0</v><v>0</v><v>0</v></row>
        <row><i>1</i> <v>0</v><v>1</v><v>2</v><v>3</v><v>4</v><v>5</v><v>6</v><v>7</v><v>8</v><v>9</v><v>10</v><v>11</v><v>12</v><v>13</v><v>14</v><v>15</v><v>16</v><v>17</v><v>18</v><v>19</v></row>
        <row><i>2</i> <v>0</v><v>2</v><v>2</v><v>0</v><v>6</v><v>0</v><v>6</v><v>9</v><v>12</v><v>9</v><v>16</v><v>0</v><v>12</v><v>9</v><v>16</v><v>0</v><v>16</v><v>18</v><v>18</v><v>16</v></row>
        <row><i>3</i> <v>0</v><v>3</v><v>0</v><v>3</v><v>0</v><v>0</v><v>0</v><v>3</v><v>3</v><v>0</v><v>0</v><v>0</v><v>0</v><v>3</v><v>0</v><v>0</v><v>0</v><v>3</v><v>0</v><v>3</v></row>
        <row><i>4</i> <v>0</v><v>4</v><v>6</v><v>0</v><v>4</v><v>0</v><v>6</v><v>11</v><v>6</v><v>0</v><v>6</v><v>11</v><v>6</v><v>11</v><v>4</v><v>0</v><v>6</v><v>11</v><v>0</v><v>6</v></row>
        <row><i>5</i> <v>0</v><v>5</v><v>0</v><v>0</v><v>0</v><v>5</v><v>0</v><v>5</v><v>0</v><v>0</v><v>5</v><v>0</v><v>0</v><v>15</v><v>0</v><v>15</v><v>0</v><v>15</v><v>0</v><v>0</v></row>
        <row><i>6</i> <v>0</v><v>6</v><v>6</v><v>0</v><v>6</v><v>0</v><v>6</v><v>0</v><v>6</v><v>0</v><v>6</v><v>0</v><v>6</v><v>0</v><v>6</v><v>0</v><v>6</v><v>0</v><v>0</v><v>6</v></row>
        <row><i>7</i> <v>0</v><v>7</v><v>9</v><v>3</v><v>11</v><v>5</v><v>0</v><v>7</v><v>3</v><v>9</v><v>5</v><v>11</v><v>0</v><v>13</v><v>11</v><v>15</v><v>0</v><v>17</v><v>18</v><v>3</v></row>
        <row><i>8</i> <v>0</v><v>8</v><v>12</v><v>3</v><v>6</v><v>0</v><v>6</v><v>3</v><v>8</v><v>0</v><v>12</v><v>0</v><v>12</v><v>3</v><v>12</v><v>0</v><v>12</v><v>3</v><v>0</v><v>8</v></row>
        <row><i>9</i> <v>0</v><v>9</v><v>9</v><v>0</v><v>0</v><v>0</v><v>0</v><v>9</v><v>0</v><v>9</v><v>0</v><v>0</v><v>0</v><v>9</v><v>0</v><v>0</v><v>0</v><v>18</v><v>18</v><v>0</v></row>
        <row><i>10</i> <v>0</v><v>10</v><v>16</v><v>0</v><v>6</v><v>5</v><v>6</v><v>5</v><v>12</v><v>0</v><v>10</v><v>0</v><v>12</v><v>15</v><v>16</v><v>15</v><v>16</v><v>15</v><v>0</v><v>16</v></row>
        <row><i>11</i> <v>0</v><v>11</v><v>0</v><v>0</v><v>11</v><v>0</v><v>0</v><v>11</v><v>0</v><v>0</v><v>0</v><v>11</v><v>0</v><v>11</v><v>11</v><v>0</v><v>0</v><v>11</v><v>0</v><v>0</v></row>
        <row><i>12</i> <v>0</v><v>12</v><v>12</v><v>0</v><v>6</v><v>0</v><v>6</v><v>0</v><v>12</v><v>0</v><v>12</v><v>0</v><v>12</v><v>0</v><v>12</v><v>0</v><v>12</v><v>0</v><v>0</v><v>12</v></row>
        <row><i>13</i> <v>0</v><v>13</v><v>9</v><v>3</v><v>11</v><v>15</v><v>0</v><v>13</v><v>3</v><v>9</v><v>15</v><v>11</v><v>0</v><v>13</v><v>11</v><v>15</v><v>0</v><v>17</v><v>18</v><v>3</v></row>
        <row><i>14</i> <v>0</v><v>14</v><v>16</v><v>0</v><v>4</v><v>0</v><v>6</v><v>11</v><v>12</v><v>0</v><v>16</v><v>11</v><v>12</v><v>11</v><v>14</v><v>0</v><v>16</v><v>11</v><v>0</v><v>16</v></row>
        <row><i>15</i> <v>0</v><v>15</v><v>0</v><v>0</v><v>0</v><v>15</v><v>0</v><v>15</v><v>0</v><v>0</v><v>15</v><v>0</v><v>0</v><v>15</v><v>0</v><v>15</v><v>0</v><v>15</v><v>0</v><v>0</v></row>
        <row><i>16</i> <v>0</v><v>16</v><v>16</v><v>0</v><v>6</v><v>0</v><v>6</v><v>0</v><v>12</v><v>0</v><v>16</v><v>0</v><v>12</v><v>0</v><v>16</v><v>0</v><v>16</v><v>0</v><v>0</v><v>16</v></row>
        <row><i>17</i> <v>0</v><v>17</v><v>18</v><v>3</v><v>11</v><v>15</v><v>0</v><v>17</v><v>3</v><v>18</v><v>15</v><v>11</v><v>0</v><v>17</v><v>11</v><v>15</v><v>0</v><v>17</v><v>18</v><v>3</v></row>
        <row><i>18</i> <v>0</v><v>18</v><v>18</v><v>0</v><v>0</v><v>0</v><v>0</v><v>18</v><v>0</v><v>18</v><v>0</v><v>0</v><v>0</v><v>18</v><v>0</v><v>0</v><v>0</v><v>18</v><v>18</v><v>0</v></row>
        <row><i>19</i> <v>0</v><v>19</v><v>16</v><v>3</v><v>6</v><v>0</v><v>6</v><v>3</v><v>8</v><v>0</v><v>16</v><v>0</v><v>12</v><v>3</v><v>16</v><v>0</v><v>16</v><v>3</v><v>0</v><v>19</v></row>
    </op2>

    <op2 type="function">
        <sym><![CDATA[v]]></sym>
        <head>        <i>0</i><i>1</i><i>2</i><i>3</i><i>4</i><i>5</i><i>6</i><i>7</i><i>8</i><i>9</i><i>10</i><i>11</i><i>12</i><i>13</i><i>14</i><i>15</i><i>16</i><i>17</i><i>18</i><i>19</i></head>
        <row><i>0</i> <v>0</v><v>1</v><v>2</v><v>3</v><v>4</v><v>5</v><v>6</v><v>7</v><v>8</v><v>9</v><v>10</v><v>11</v><v>12</v><v>13</v><v>14</v><v>15</v><v>16</v><v>17</v><v>18</v><v>19</v></row>
        <row><i>1</i> <v>1</v><v>1</v><v>1</v><v>1</v><v>1</v><v>1</v><v>1</v><v>1</v><v>1</v><v>1</v><v>1</v><v>1</v><v>1</v><v>1</v><v>1</v><v>1</v><v>1</v><v>1</v><v>1</v><v>1</v></row>
        <row><i>2</i> <v>2</v><v>1</v><v>2</v><v>1</v><v>1</v><v>1</v><v>2</v><v>1</v><v>1</v><v>2</v><v>1</v><v>1</v><v>2</v><v>1</v><v>1</v><v>1</v><v>2</v><v>1</v><v>2</v><v>1</v></row>
        <row><i>3</i> <v>3</v><v>1</v><v>1</v><v>3</v><v>1</v><v>7</v><v>8</v><v>7</v><v>8</v><v>13</v><v>1</v><v>17</v><v>8</v><v>13</v><v>1</v><v>17</v><v>19</v><v>17</v><v>17</v><v>19</v></row>
        <row><i>4</i> <v>4</v><v>1</v><v>1</v><v>1</v><v>4</v><v>1</v><v>4</v><v>1</v><v>1</v><v>1</v><v>1</v><v>4</v><v>14</v><v>1</v><v>14</v><v>1</v><v>14</v><v>1</v><v>1</v><v>1</v></row>
        <row><i>5</i> <v>5</v><v>1</v><v>1</v><v>7</v><v>1</v><v>5</v><v>10</v><v>7</v><v>1</v><v>7</v><v>10</v><v>7</v><v>10</v><v>7</v><v>1</v><v>5</v><v>10</v><v>7</v><v>7</v><v>1</v></row>
        <row><i>6</i> <v>6</v><v>1</v><v>2</v><v>8</v><v>4</v><v>10</v><v>6</v><v>1</v><v>8</v><v>2</v><v>10</v><v>4</v><v>12</v><v>1</v><v>14</v><v>10</v><v>16</v><v>1</v><v>2</v><v>19</v></row>
        <row><i>7</i> <v>7</v><v>1</v><v>1</v><v>7</v><v>1</v><v>7</v><v>1</v><v>7</v><v>1</v><v>7</v><v>1</v><v>7</v><v>1</v><v>7</v><v>1</v><v>7</v><v>1</v><v>7</v><v>7</v><v>1</v></row>
        <row><i>8</i> <v>8</v><v>1</v><v>1</v><v>8</v><v>1</v><v>1</v><v>8</v><v>1</v><v>8</v><v>1</v><v>1</v><v>1</v><v>8</v><v>1</v><v>1</v><v>1</v><v>19</v><v>1</v><v>1</v><v>19</v></row>
        <row><i>9</i> <v>9</v><v>1</v><v>2</v><v>13</v><v>1</v><v>7</v><v>2</v><v>7</v><v>1</v><v>9</v><v>1</v><v>13</v><v>2</v><v>13</v><v>1</v><v>13</v><v>2</v><v>13</v><v>9</v><v>1</v></row>
        <row><i>10</i> <v>10</v><v>1</v><v>1</v><v>1</v><v>1</v><v>10</v><v>10</v><v>1</v><v>1</v><v>1</v><v>10</v><v>1</v><v>10</v><v>1</v><v>1</v><v>10</v><v>10</v><v>1</v><v>1</v><v>1</v></row>
        <row><i>11</i> <v>11</v><v>1</v><v>1</v><v>17</v><v>4</v><v>7</v><v>4</v><v>7</v><v>1</v><v>13</v><v>1</v><v>11</v><v>14</v><v>13</v><v>14</v><v>17</v><v>14</v><v>17</v><v>17</v><v>1</v></row>
        <row><i>12</i> <v>12</v><v>1</v><v>2</v><v>8</v><v>14</v><v>10</v><v>12</v><v>1</v><v>8</v><v>2</v><v>10</v><v>14</v><v>12</v><v>1</v><v>14</v><v>10</v><v>16</v><v>1</v><v>2</v><v>19</v></row>
        <row><i>13</i> <v>13</v><v>1</v><v>1</v><v>13</v><v>1</v><v>7</v><v>1</v><v>7</v><v>1</v><v>13</v><v>1</v><v>13</v><v>1</v><v>13</v><v>1</v><v>13</v><v>1</v><v>13</v><v>13</v><v>1</v></row>
        <row><i>14</i> <v>14</v><v>1</v><v>1</v><v>1</v><v>14</v><v>1</v><v>14</v><v>1</v><v>1</v><v>1</v><v>1</v><v>14</v><v>14</v><v>1</v><v>14</v><v>1</v><v>14</v><v>1</v><v>1</v><v>1</v></row>
        <row><i>15</i> <v>15</v><v>1</v><v>1</v><v>17</v><v>1</v><v>5</v><v>10</v><v>7</v><v>1</v><v>13</v><v>10</v><v>17</v><v>10</v><v>13</v><v>1</v><v>15</v><v>10</v><v>17</v><v>17</v><v>1</v></row>
        <row><i>16</i> <v>16</v><v>1</v><v>2</v><v>19</v><v>14</v><v>10</v><v>16</v><v>1</v><v>19</v><v>2</v><v>10</v><v>14</v><v>16</v><v>1</v><v>14</v><v>10</v><v>16</v><v>1</v><v>2</v><v>19</v></row>
        <row><i>17</i> <v>17</v><v>1</v><v>1</v><v>17</v><v>1</v><v>7</v><v>1</v><v>7</v><v>1</v><v>13</v><v>1</v><v>17</v><v>1</v><v>13</v><v>1</v><v>17</v><v>1</v><v>17</v><v>17</v><v>1</v></row>
        <row><i>18</i> <v>18</v><v>1</v><v>2</v><v>17</v><v>1</v><v>7</v><v>2</v><v>7</v><v>1</v><v>9</v><v>1</v><v>17</v><v>2</v><v>13</v><v>1</v><v>17</v><v>2</v><v>17</v><v>18</v><v>1</v></row>
        <row><i>19</i> <v>19</v><v>1</v><v>1</v><v>19</v><v>1</v><v>1</v><v>19</v><v>1</v><v>19</v><v>1</v><v>1</v><v>1</v><v>19</v><v>1</v><v>1</v><v>1</v><v>19</v><v>1</v><v>1</v><v>19</v></row>
    </op2>
  </interp>

</interps>
