/export/starexec/sandbox/solver/bin/starexec_run_ttt2_cert /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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<?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>f_0</name><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>a</name></funapp></rhs></rule><rule><lhs><funapp><name>f_1</name><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>g_1</name><arg><var>x</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>g_1</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>f_0</name><arg><var>y</var></arg></funapp></arg><arg><funapp><name>g_1</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>f_2</name><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>g_2</name><arg><var>x</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>g_2</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>f_1</name><arg><var>y</var></arg></funapp></arg><arg><funapp><name>g_2</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>f_3</name><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>g_3</name><arg><var>x</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>g_3</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>f_2</name><arg><var>y</var></arg></funapp></arg><arg><funapp><name>g_3</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>f_4</name><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>g_4</name><arg><var>x</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>g_4</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>f_3</name><arg><var>y</var></arg></funapp></arg><arg><funapp><name>g_4</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>f_5</name><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>g_5</name><arg><var>x</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>g_5</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>f_4</name><arg><var>y</var></arg></funapp></arg><arg><funapp><name>g_5</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule></rules></trs></trsInput></input><cpfVersion>2.1</cpfVersion><proof><trsTerminationProof><ruleRemoval><orderingConstraintProof><redPair><weightedPathOrder><precedenceStatus><precedenceStatusEntry><name>g_5</name><arity>2</arity><precedence>13</precedence><status><position>2</position><position>1</position></status></precedenceStatusEntry><precedenceStatusEntry><name>f_5</name><arity>1</arity><precedence>0</precedence><status><position>1</position></status></precedenceStatusEntry><precedenceStatusEntry><name>g_4</name><arity>2</arity><precedence>9</precedence><status><position>1</position><position>2</position></status></precedenceStatusEntry><precedenceStatusEntry><name>f_4</name><arity>1</arity><precedence>12</precedence><status><position>1</position></status></precedenceStatusEntry><precedenceStatusEntry><name>g_3</name><arity>2</arity><precedence>11</precedence><status><position>1</position><position>2</position></status></precedenceStatusEntry><precedenceStatusEntry><name>f_3</name><arity>1</arity><precedence>0</precedence><status><position>1</position></status></precedenceStatusEntry><precedenceStatusEntry><name>g_2</name><arity>2</arity><precedence>8</precedence><status><position>2</position><position>1</position></status></precedenceStatusEntry><precedenceStatusEntry><name>f_2</name><arity>1</arity><precedence>9</precedence><status><position>1</position></status></precedenceStatusEntry><precedenceStatusEntry><name>b</name><arity>2</arity><precedence>0</precedence><status><position>2</position><position>1</position></status></precedenceStatusEntry><precedenceStatusEntry><name>s</name><arity>1</arity><precedence>0</precedence><status><position>1</position></status></precedenceStatusEntry><precedenceStatusEntry><name>g_1</name><arity>2</arity><precedence>2</precedence><status><position>2</position><position>1</position></status></precedenceStatusEntry><precedenceStatusEntry><name>f_1</name><arity>1</arity><precedence>4</precedence><status><position>1</position></status></precedenceStatusEntry><precedenceStatusEntry><name>a</name><arity>0</arity><precedence>0</precedence><status/></precedenceStatusEntry><precedenceStatusEntry><name>f_0</name><arity>1</arity><precedence>1</precedence><status><position>1</position></status></precedenceStatusEntry></precedenceStatus><maxPoly><interpret><name>g_5</name><arity>2</arity><max><constant>2</constant><sum><constant>2</constant><product><constant>1</constant><variable>1</variable></product></sum><sum><constant>1</constant><product><constant>1</constant><variable>2</variable></product></sum></max></interpret><interpret><name>f_5</name><arity>1</arity><sum><constant>7</constant><product><constant>1</constant><variable>1</variable></product></sum></interpret><interpret><name>g_4</name><arity>2</arity><max><constant>1</constant><sum><constant>1</constant><product><constant>1</constant><variable>1</variable></product></sum><sum><constant>1</constant><product><constant>1</constant><variable>2</variable></product></sum></max></interpret><interpret><name>f_4</name><arity>1</arity><max><constant>0</constant><sum><constant>1</constant><product><constant>1</constant><variable>1</variable></product></sum></max></interpret><interpret><name>g_3</name><arity>2</arity><max><constant>0</constant><sum><constant>0</constant><product><constant>1</constant><variable>1</variable></product></sum><sum><constant>0</constant><product><constant>1</constant><variable>2</variable></product></sum></max></interpret><interpret><name>f_3</name><arity>1</arity><sum><constant>1</constant><product><constant>1</constant><variable>1</variable></product></sum></interpret><interpret><name>g_2</name><arity>2</arity><max><constant>0</constant><sum><constant>0</constant><product><constant>1</constant><variable>1</variable></product></sum><sum><constant>0</constant><product><constant>1</constant><variable>2</variable></product></sum></max></interpret><interpret><name>f_2</name><arity>1</arity><max><constant>0</constant><sum><constant>0</constant><product><constant>1</constant><variable>1</variable></product></sum></max></interpret><interpret><name>b</name><arity>2</arity><max><constant>0</constant><sum><constant>0</constant><product><constant>1</constant><variable>1</variable></product></sum><sum><constant>0</constant><product><constant>1</constant><variable>2</variable></product></sum></max></interpret><interpret><name>s</name><arity>1</arity><sum><constant>0</constant><product><constant>1</constant><variable>1</variable></product></sum></interpret><interpret><name>g_1</name><arity>2</arity><max><constant>0</constant><sum><constant>0</constant><product><constant>1</constant><variable>1</variable></product></sum><sum><constant>0</constant><product><constant>1</constant><variable>2</variable></product></sum></max></interpret><interpret><name>f_1</name><arity>1</arity><max><constant>0</constant><sum><constant>0</constant><product><constant>1</constant><variable>1</variable></product></sum></max></interpret><interpret><name>a</name><arity>0</arity><max><constant>0</constant></max></interpret><interpret><name>f_0</name><arity>1</arity><sum><constant>0</constant><product><constant>1</constant><variable>1</variable></product></sum></interpret></maxPoly></weightedPathOrder></redPair></orderingConstraintProof><trs><rules/></trs><trsTerminationProof><rIsEmpty/></trsTerminationProof></ruleRemoval></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>