details

property	value
status	complete
benchmark	z02.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n146.star.cs.uiowa.edu
space	Zantema_05

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2_cert
runtime (wallclock)	1.00905 seconds
cpu usage	2.35549
user time	1.79865
system time	0.556836
max virtual memory	926428.0
max residence set size	72612.0

stage attributes

key	value
certification-result	CERTIFIED
starexec-result	CERTIFIED YES
certification-time	0.29
bare-result	YES

output

<?xml version="1.0"?> <?xml-stylesheet type="text/xsl" href="cpfHTML.xsl"?><certificationProblem xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="cpf.xsd"><input><trsInput><trs><rules><rule><lhs><funapp><name>a</name><arg><funapp><name>f</name></funapp></arg><arg><funapp><name>a</name><arg><funapp><name>f</name></funapp></arg><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a</name><arg><var>x</var></arg><arg><funapp><name>g</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a</name><arg><var>x</var></arg><arg><funapp><name>g</name></funapp></arg></funapp></lhs><rhs><funapp><name>a</name><arg><funapp><name>f</name></funapp></arg><arg><funapp><name>a</name><arg><funapp><name>g</name></funapp></arg><arg><funapp><name>a</name><arg><funapp><name>f</name></funapp></arg><arg><var>x</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs></trsInput></input><cpfVersion>2.1</cpfVersion><proof><trsTerminationProof><bounds><type><match/></type><bound>4</bound><finalStates><state>4</state></finalStates><treeAutomaton><finalStates><state>4</state></finalStates><transitions><transition><lhs><name>a</name><height>4</height><state>25</state><state>15</state></lhs><rhs><state>26</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>25</state><state>13</state></lhs><rhs><state>26</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>27</state><state>26</state></lhs><rhs><state>28</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>25</state><state>32</state></lhs><rhs><state>26</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>25</state><state>23</state></lhs><rhs><state>26</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>25</state><state>28</state></lhs><rhs><state>14</state></rhs></transition><transition><lhs><name>g</name><height>4</height></lhs><rhs><state>27</state></rhs></transition><transition><lhs><name>f</name><height>2</height></lhs><rhs><state>13</state></rhs></transition><transition><lhs><name>g</name><height>2</height></lhs><rhs><state>9</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>13</state><state>9</state></lhs><rhs><state>8</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>9</state><state>4</state></lhs><rhs><state>15</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>6</state><state>9</state></lhs><rhs><state>8</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>6</state><state>9</state></lhs><rhs><state>14</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>13</state><state>30</state></lhs><rhs><state>22</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>13</state><state>23</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>13</state><state>32</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>32</state><state>9</state></lhs><rhs><state>22</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>32</state><state>9</state></lhs><rhs><state>8</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>32</state><state>9</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>32</state><state>9</state></lhs><rhs><state>14</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>32</state><state>9</state></lhs><rhs><state>26</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>32</state><state>9</state></lhs><rhs><state>31</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>9</state><state>14</state></lhs><rhs><state>15</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>23</state><state>9</state></lhs><rhs><state>8</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>13</state><state>21</state></lhs><rhs><state>29</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>13</state><state>6</state></lhs><rhs><state>14</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>15</state><state>9</state></lhs><rhs><state>8</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>13</state><state>13</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>9</state><state>29</state></lhs><rhs><state>30</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>13</state><state>4</state></lhs><rhs><state>14</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>13</state><state>15</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>13</state><state>15</state></lhs><rhs><state>8</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>13</state><state>15</state></lhs><rhs><state>14</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>13</state><state>15</state></lhs><rhs><state>31</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>13</state><state>15</state></lhs><rhs><state>26</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>13</state><state>15</state></lhs><rhs><state>22</state></rhs></transition><transition><lhs><name>f</name><height>0</height></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>g</name><height>0</height></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>21</state><state>13</state></lhs><rhs><state>22</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>23</state><state>17</state></lhs><rhs><state>14</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>21</state><state>32</state></lhs><rhs><state>22</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>21</state><state>23</state></lhs><rhs><state>8</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>21</state><state>23</state></lhs><rhs><state>14</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>21</state><state>23</state></lhs><rhs><state>26</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>21</state><state>23</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>21</state><state>23</state></lhs><rhs><state>22</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>21</state><state>23</state></lhs><rhs><state>31</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>15</state><state>17</state></lhs><rhs><state>14</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>13</state><state>17</state></lhs><rhs><state>14</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>32</state><state>17</state></lhs><rhs><state>14</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>17</state><state>22</state></lhs><rhs><state>23</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>21</state><state>15</state></lhs><rhs><state>22</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>21</state><state>6</state></lhs><rhs><state>22</state></rhs></transition><transition><lhs><name>f</name><height>3</height></lhs><rhs><state>21</state></rhs></transition><transition><lhs><name>a</name><height>0</height><state>4</state><state>4</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>f</name><height>1</height></lhs><rhs><state>7</state></rhs></transition><transition><lhs><name>f</name><height>1</height></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>g</name><height>1</height></lhs><rhs><state>6</state></rhs></transition><transition><lhs><name>f</name><height>4</height></lhs><rhs><state>25</state></rhs></transition><transition><lhs><name>g</name><height>3</height></lhs><rhs><state>17</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>4</state><state>13</state></lhs><rhs><state>8</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>15</state><state>6</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>23</state><state>6</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>4</state><state>9</state></lhs><rhs><state>31</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>4</state><state>32</state></lhs><rhs><state>15</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>6</state><state>8</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>32</state><state>6</state></lhs><rhs><state>22</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>32</state><state>6</state></lhs><rhs><state>8</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>32</state><state>6</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>32</state><state>6</state></lhs><rhs><state>14</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>32</state><state>6</state></lhs><rhs><state>26</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>32</state><state>6</state></lhs><rhs><state>31</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>7</state><state>4</state></lhs><rhs><state>8</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>4</state><state>6</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>4</state><state>6</state></lhs><rhs><state>8</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>4</state><state>6</state></lhs><rhs><state>14</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>6</state><state>31</state></lhs><rhs><state>32</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>13</state><state>6</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>6</state><state>6</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>6</state><state>6</state></lhs><rhs><state>8</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>6</state><state>6</state></lhs><rhs><state>14</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>4</state><state>7</state></lhs><rhs><state>8</state></rhs></transition></transitions></treeAutomaton><criterion><compatibility/></criterion></bounds></trsTerminationProof></proof><origin><proofOrigin><tool><name>ttt2</name><version>ttt2 1.20 [hg: unknown]</version><strategy>((if standard then var else fail) | con | (if srs then ((sleep -t 25?;rlab;(((( (if srs then arctic -dim 1 -ib 4 -ob 5 else fail) || (if srs then arctic -dim 2 -ib 2 -ob 3 else fail) || (if srs then arctic -dim 3 -ib 1 -ob 2 else fail) || (if srs then arctic -dim 3 -ib 2 -ob 2 else fail) || matrix -dim 1 -ib 5 -ob 8 || matrix -dim 2 -ib 3 -ob 4 || matrix -dim 3 -ib 2 -ob 3 || matrix -dim 3 -ib 1 -ob 2 || matrix -dim 4 -ib 1 -ob 2 || matrix -dim 5 -ib 1 -ob 1 || kbo -ib 3 -ob 4 || wpo -msum -ib 3 -ob 4 -cpf || fail)[5]*);((dp;(edg -gtcap -nl[1.0]?;(sccs | ((sc || sc -rec -defs || sc -mulex -defs) || sct || {ur?;( (wpo -cpf -dp -ur -sum -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -pol -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -max -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -msum -ib 3 -ob 3 [4] | wpo -cpf -dp -ur -mat -dim 2 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -mat -dim 3 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -ib 3 -ob 3 [9] | fail ) || matrix -dp -ur -dim 1 -ib 3 -ob 5 || matrix -dp -ur -dim 1 -ib 3 -ob 8 -rat 2 -db 1 || matrix -dp -ur -dim 1 -ib 4 -ob 10 -rat 4 -db 1 || matrix -dp -ur -dim 2 -ib 2 -ob 3 || matrix -dp -ur -dim 2 -ib 3 -ob 4 -rat 2 -db 0 || matrix -dp -ur -dim 3 -ib 1 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 -rat 2 -db 0 || matrix -dp -ur -dim 4 -ib 1 -ob 2 || lpo -ur -af || (arctic -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || (arctic -bz -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -bz -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -bz -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -bz -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || fail) } restore) )*[29])) || (bounds -cert || fail;(bounds -rfc -qc))))! || (( unfold || fail)*[7])!)[299])! || ((((( (if srs then arctic -dim 1 -ib 4 -ob 5 else fail) || (if srs then arctic -dim 2 -ib 2 -ob 3 else fail) || (if srs then arctic -dim 3 -ib 1 -ob 2 else fail) || (if srs then arctic -dim 3 -ib 2 -ob 2 else fail) || matrix -dim 1 -ib 5 -ob 8 || matrix -dim 2 -ib 3 -ob 4 || matrix -dim 3 -ib 2 -ob 3 || matrix -dim 3 -ib 1 -ob 2 || matrix -dim 4 -ib 1 -ob 2 || matrix -dim 5 -ib 1 -ob 1 || kbo -ib 3 -ob 4 || wpo -msum -ib 3 -ob 4 -cpf || fail)[5]*);((dp;(edg -gtcap -nl[1.0]?;(sccs | ((sc || sc -rec -defs || sc -mulex -defs) || sct || {ur?;( (wpo -cpf -dp -ur -sum -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -pol -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -max -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -msum -ib 3 -ob 3 [4] | wpo -cpf -dp -ur -mat -dim 2 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -mat -dim 3 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -ib 3 -ob 3 [9] | fail ) || matrix -dp -ur -dim 1 -ib 3 -ob 5 || matrix -dp -ur -dim 1 -ib 3 -ob 8 -rat 2 -db 1 || matrix -dp -ur -dim 1 -ib 4 -ob 10 -rat 4 -db 1 || matrix -dp -ur -dim 2 -ib 2 -ob 3 || matrix -dp -ur -dim 2 -ib 3 -ob 4 -rat 2 -db 0 || matrix -dp -ur -dim 3 -ib 1 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 -rat 2 -db 0 || matrix -dp -ur -dim 4 -ib 1 -ob 2 || lpo -ur -af || (arctic -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || (arctic -bz -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -bz -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -bz -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -bz -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || fail) } restore) )*[29])) || (bounds -cert || fail;(bounds -rfc -qc))))! || (( unfold || fail)*[7])!)[299])! || (rev?;((( (if srs then arctic -dim 1 -ib 4 -ob 5 else fail) || (if srs then arctic -dim 2 -ib 2 -ob 3 else fail) || (if srs then arctic -dim 3 -ib 1 -ob 2 else fail) || (if srs then arctic -dim 3 -ib 2 -ob 2 else fail) || matrix -dim 1 -ib 5 -ob 8 || matrix -dim 2 -ib 3 -ob 4 || matrix -dim 3 -ib 2 -ob 3 || matrix -dim 3 -ib 1 -ob 2 || matrix -dim 4 -ib 1 -ob 2 || matrix -dim 5 -ib 1 -ob 1 || kbo -ib 3 -ob 4 || wpo -msum -ib 3 -ob 4 -cpf || fail)[5]*);((dp;(edg -gtcap -nl[1.0]?;(sccs | ((sc || sc -rec -defs || sc -mulex -defs) || sct || {ur?;( (wpo -cpf -dp -ur -sum -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -pol -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -max -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -msum -ib 3 -ob 3 [4] | wpo -cpf -dp -ur -mat -dim 2 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -mat -dim 3 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -ib 3 -ob 3 [9] | fail ) || matrix -dp -ur -dim 1 -ib 3 -ob 5 || matrix -dp -ur -dim 1 -ib 3 -ob 8 -rat 2 -db 1 || matrix -dp -ur -dim 1 -ib 4 -ob 10 -rat 4 -db 1 || matrix -dp -ur -dim 2 -ib 2 -ob 3 || matrix -dp -ur -dim 2 -ib 3 -ob 4 -rat 2 -db 0 || matrix -dp -ur -dim 3 -ib 1 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 -rat 2 -db 0 || matrix -dp -ur -dim 4 -ib 1 -ob 2 || lpo -ur -af || (arctic -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || (arctic -bz -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -bz -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -bz -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -bz -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || fail) } restore) )*[29])) || (bounds -cert || fail;(bounds -rfc -qc))))![299])! ) else ((((( (if srs then arctic -dim 1 -ib 4 -ob 5 else fail) || (if srs then arctic -dim 2 -ib 2 -ob 3 else fail) || (if srs then arctic -dim 3 -ib 1 -ob 2 else fail) || (if srs then arctic -dim 3 -ib 2 -ob 2 else fail) || matrix -dim 1 -ib 5 -ob 8 || matrix -dim 2 -ib 3 -ob 4 || matrix -dim 3 -ib 2 -ob 3 || matrix -dim 3 -ib 1 -ob 2 || matrix -dim 4 -ib 1 -ob 2 || matrix -dim 5 -ib 1 -ob 1 || kbo -ib 3 -ob 4 || wpo -msum -ib 3 -ob 4 -cpf || fail)[5]*);((dp;(edg -gtcap -nl[1.0]?;(sccs | ((sc || sc -rec -defs || sc -mulex -defs) || sct || {ur?;( (wpo -cpf -dp -ur -sum -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -pol -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -max -ib 3 -ob 3 [3] | wpo -cpf -dp -ur -msum -ib 3 -ob 3 [4] | wpo -cpf -dp -ur -mat -dim 2 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -mat -dim 3 -ib 3 -ob 3 [5] | wpo -cpf -dp -ur -ib 3 -ob 3 [9] | fail ) || matrix -dp -ur -dim 1 -ib 3 -ob 5 || matrix -dp -ur -dim 1 -ib 3 -ob 8 -rat 2 -db 1 || matrix -dp -ur -dim 1 -ib 4 -ob 10 -rat 4 -db 1 || matrix -dp -ur -dim 2 -ib 2 -ob 3 || matrix -dp -ur -dim 2 -ib 3 -ob 4 -rat 2 -db 0 || matrix -dp -ur -dim 3 -ib 1 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 -rat 2 -db 0 || matrix -dp -ur -dim 4 -ib 1 -ob 2 || lpo -ur -af || (arctic -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || (arctic -bz -dp -ur -dim 1 -ib 4 -ob 3[25] | arctic -bz -dp -ur -dim 2 -ib 2 -ob 2[28] | arctic -bz -dp -ur -dim 3 -ib 1 -ob 1[28] | arctic -bz -dp -ur -dim 4 -ib 1 -ob 1[28] | fail) || fail) } restore) )*[29])) || (bounds -cert || fail;(bounds -rfc -qc))))! || (( unfold || fail)*[7])!)[299])))</strategy></tool></proofOrigin></origin></certificationProblem> popout

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