details

property	value
status	complete
benchmark	z037.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n138.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2_cert
runtime (wallclock)	5.83109 seconds
cpu usage	21.9159
user time	20.2048
system time	1.71112
max virtual memory	6211400.0
max residence set size	283924.0

stage attributes

key	value
certification-result	CERTIFIED
starexec-result	CERTIFIED YES
certification-time	1.35
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>b</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><funapp><name>a</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><funapp><name>b</name><arg><funapp><name>a</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></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>2</state><state>1</state></finalStates><treeAutomaton><finalStates><state>2</state><state>1</state></finalStates><transitions><transition><lhs><state>81</state></lhs><rhs><state>39</state></rhs></transition><transition><lhs><state>119</state></lhs><rhs><state>42</state></rhs></transition><transition><lhs><state>119</state></lhs><rhs><state>90</state></rhs></transition><transition><lhs><state>57</state></lhs><rhs><state>8</state></rhs></transition><transition><lhs><state>57</state></lhs><rhs><state>42</state></rhs></transition><transition><lhs><state>9</state></lhs><rhs><state>48</state></rhs></transition><transition><lhs><state>37</state></lhs><rhs><state>5</state></rhs></transition><transition><lhs><state>95</state></lhs><rhs><state>49</state></rhs></transition><transition><lhs><state>1</state></lhs><rhs><state>34</state></rhs></transition><transition><lhs><state>123</state></lhs><rhs><state>87</state></rhs></transition><transition><lhs><state>13</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><state>13</state></lhs><rhs><state>8</state></rhs></transition><transition><lhs><state>13</state></lhs><rhs><state>5</state></rhs></transition><transition><lhs><state>109</state></lhs><rhs><state>49</state></rhs></transition><transition><lhs><state>143</state></lhs><rhs><state>90</state></rhs></transition><transition><lhs><state>53</state></lhs><rhs><state>108</state></rhs></transition><transition><lhs><state>53</state></lhs><rhs><state>110</state></rhs></transition><transition><lhs><state>2</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><state>118</state></lhs><rhs><state>122</state></rhs></transition><transition><lhs><state>12</state></lhs><rhs><state>36</state></rhs></transition><transition><lhs><state>12</state></lhs><rhs><state>38</state></rhs></transition><transition><lhs><state>35</state></lhs><rhs><state>5</state></rhs></transition><transition><lhs><state>115</state></lhs><rhs><state>134</state></rhs></transition><transition><lhs><state>83</state></lhs><rhs><state>5</state></rhs></transition><transition><lhs><state>47</state></lhs><rhs><state>5</state></rhs></transition><transition><lhs><state>47</state></lhs><rhs><state>9</state></rhs></transition><transition><lhs><state>47</state></lhs><rhs><state>35</state></rhs></transition><transition><lhs><state>56</state></lhs><rhs><state>80</state></rhs></transition><transition><lhs><state>56</state></lhs><rhs><state>82</state></rhs></transition><transition><lhs><state>56</state></lhs><rhs><state>86</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>141</state></lhs><rhs><state>142</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>135</state></lhs><rhs><state>136</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>142</state></lhs><rhs><state>143</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>136</state></lhs><rhs><state>137</state></rhs></transition><transition><lhs><name>a</name><height>4</height><state>139</state></lhs><rhs><state>140</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>140</state></lhs><rhs><state>141</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>134</state></lhs><rhs><state>135</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>137</state></lhs><rhs><state>138</state></rhs></transition><transition><lhs><name>b</name><height>4</height><state>138</state></lhs><rhs><state>139</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>114</state></lhs><rhs><state>115</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>86</state></lhs><rhs><state>87</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>110</state></lhs><rhs><state>111</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>92</state></lhs><rhs><state>93</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>90</state></lhs><rhs><state>91</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>113</state></lhs><rhs><state>114</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>116</state></lhs><rhs><state>117</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>122</state></lhs><rhs><state>123</state></rhs></transition><transition><lhs><name>b</name><height>3</height><state>89</state></lhs><rhs><state>90</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>82</state></lhs><rhs><state>83</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>7</state></lhs><rhs><state>8</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>8</state></lhs><rhs><state>9</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>10</state></lhs><rhs><state>11</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>36</state></lhs><rhs><state>37</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>4</state></lhs><rhs><state>5</state></rhs></transition><transition><lhs><name>b</name><height>1</height><state>34</state></lhs><rhs><state>35</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>11</state></lhs><rhs><state>12</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>12</state></lhs><rhs><state>13</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>9</state></lhs><rhs><state>10</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>6</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><name>a</name><height>1</height><state>5</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><name>a</name><height>0</height><state>1</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><name>a</name><height>0</height><state>2</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>44</state></lhs><rhs><state>45</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>51</state></lhs><rhs><state>52</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>80</state></lhs><rhs><state>81</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>54</state></lhs><rhs><state>55</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>38</state></lhs><rhs><state>39</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>52</state></lhs><rhs><state>53</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>108</state></lhs><rhs><state>109</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>48</state></lhs><rhs><state>49</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>42</state></lhs><rhs><state>43</state></rhs></transition><transition><lhs><name>b</name><height>2</height><state>41</state></lhs><rhs><state>42</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>117</state></lhs><rhs><state>118</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>91</state></lhs><rhs><state>92</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>87</state></lhs><rhs><state>88</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>118</state></lhs><rhs><state>119</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>94</state></lhs><rhs><state>95</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>111</state></lhs><rhs><state>112</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>112</state></lhs><rhs><state>113</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>93</state></lhs><rhs><state>94</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>88</state></lhs><rhs><state>89</state></rhs></transition><transition><lhs><name>a</name><height>3</height><state>115</state></lhs><rhs><state>116</state></rhs></transition><transition><lhs><name>b</name><height>0</height><state>1</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>b</name><height>0</height><state>2</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>53</state></lhs><rhs><state>54</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>56</state></lhs><rhs><state>57</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>45</state></lhs><rhs><state>46</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>55</state></lhs><rhs><state>56</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>46</state></lhs><rhs><state>47</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>49</state></lhs><rhs><state>50</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>39</state></lhs><rhs><state>40</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>43</state></lhs><rhs><state>44</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>50</state></lhs><rhs><state>51</state></rhs></transition><transition><lhs><name>a</name><height>2</height><state>40</state></lhs><rhs><state>41</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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