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


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WORST_CASE(?,O(n^1))
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<certificationProblem xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" 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rg><funapp><name>__</name><arg><var>P</var></arg><arg><var>I</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>and</name><arg><funapp><name>isQid</name><arg><funapp><name>activate</name><arg><var>I</var></arg></funapp></arg></funapp></arg><arg><funapp><name>n__isPal</name><arg><funapp><name>activate</name><arg><var>P</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><matrixInterpretation><domain><naturals/></domain><dimension>1</dimension><strictDimension>1</strictDimension></matrixInterpretation></type><interpret><name>__</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>4</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>3</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>activate</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>and</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>4</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>e</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>i</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>isList</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>isNeList</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>isNePal</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>isPal</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>isQid</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>n____</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>4</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>n__a</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>3</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>n__e</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>n__i</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>n__isList</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>n__isNeList</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>n__isPal</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>n__nil</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>2</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>n__o</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>n__u</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>nil</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>2</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>o</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>tt</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>u</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><name>and</name><arg><funapp><name>tt</name></funapp></arg><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>isList</name><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isPal</name><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isQid</name><arg><funapp><name>n__a</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule></rules></trs><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><matrixInterpretation><domain><naturals/></domain><dimension>1</dimension><strictDimension>1</strictDimension></matrixInterpretation></type><interpret><name>__</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>10</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>9</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>activate</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>and</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>e</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>7</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>i</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>14</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>isList</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>8</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>isNeList</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>isNePal</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>8</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>isPal</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>9</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>isQid</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>n____</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>9</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>n__a</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>8</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>n__e</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>7</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>n__i</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>14</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>n__isList</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>7</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>n__isNeList</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>n__isPal</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>9</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>n__nil</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>3</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>n__o</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>5</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>n__u</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>4</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>nil</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>3</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>o</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>6</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>tt</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>u</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>4</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><name>__</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>n____</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a</name></funapp></lhs><rhs><funapp><name>n__a</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__e</name></funapp></arg></funapp></lhs><rhs><funapp><name>e</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__i</name></funapp></arg></funapp></lhs><rhs><funapp><name>i</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__isPal</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>isPal</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__u</name></funapp></arg></funapp></lhs><rhs><funapp><name>u</name></funapp></rhs></rule><rule><lhs><funapp><name>isList</name><arg><var>V</var></arg></funapp></lhs><rhs><funapp><name>isNeList</name><arg><funapp><name>activate</name><arg><var>V</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isList</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__isList</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNeList</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__isNeList</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNePal</name><arg><var>V</var></arg></funapp></lhs><rhs><funapp><name>isQid</name><arg><funapp><name>activate</name><arg><var>V</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isQid</name><arg><funapp><name>n__e</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isQid</name><arg><funapp><name>n__i</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isQid</name><arg><funapp><name>n__o</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isQid</name><arg><funapp><name>n__u</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>o</name></funapp></lhs><rhs><funapp><name>n__o</name></funapp></rhs></rule></rules></trs><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><matrixInterpretation><domain><naturals/></domain><dimension>1</dimension><strictDimension>1</strictDimension></matrixInterpretation></type><interpret><name>__</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>13</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>13</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>activate</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>and</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>2</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>e</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>6</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>i</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>5</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>isList</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>8</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>isNeList</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>6</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>isNePal</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>5</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>isPal</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>9</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>isQid</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>3</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>n____</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>13</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>n__a</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>13</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>n__e</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>5</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>n__i</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>5</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>n__isList</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>8</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>n__isNeList</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>6</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>n__isPal</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>8</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>n__nil</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>n__o</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>5</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>n__u</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>2</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>nil</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>o</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>5</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>tt</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>u</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>3</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><name>activate</name><arg><funapp><name>n____</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>__</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__a</name></funapp></arg></funapp></lhs><rhs><funapp><name>a</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__isList</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>isList</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__isNeList</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>isNeList</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__o</name></funapp></arg></funapp></lhs><rhs><funapp><name>o</name></funapp></rhs></rule><rule><lhs><funapp><name>e</name></funapp></lhs><rhs><funapp><name>n__e</name></funapp></rhs></rule><rule><lhs><funapp><name>isList</name><arg><funapp><name>n____</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>and</name><arg><funapp><name>isList</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>n__isList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNeList</name><arg><var>V</var></arg></funapp></lhs><rhs><funapp><name>isQid</name><arg><funapp><name>activate</name><arg><var>V</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNeList</name><arg><funapp><name>n____</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>and</name><arg><funapp><name>isList</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>n__isNeList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNeList</name><arg><funapp><name>n____</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>and</name><arg><funapp><name>isNeList</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>n__isList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isPal</name><arg><var>V</var></arg></funapp></lhs><rhs><funapp><name>isNePal</name><arg><funapp><name>activate</name><arg><var>V</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isPal</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__isPal</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>u</name></funapp></lhs><rhs><funapp><name>n__u</name></funapp></rhs></rule></rules></trs><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><matrixInterpretation><domain><naturals/></domain><dimension>1</dimension><strictDimension>1</strictDimension></matrixInterpretation></type><interpret><name>__</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>14</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>8</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>activate</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>4</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>and</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>e</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>14</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>i</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>12</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>isList</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>10</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>isNeList</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>6</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>isNePal</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>4</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>isPal</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>8</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>isQid</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>n____</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>14</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>n__a</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>8</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>n__e</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>10</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>n__i</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>9</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>n__isList</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>6</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>n__isNeList</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>2</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>n__isPal</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>8</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>n__nil</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>10</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>n__o</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>4</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>n__u</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>5</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>nil</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>12</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>o</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>8</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>tt</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>4</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>u</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>6</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><name>i</name></funapp></lhs><rhs><funapp><name>n__i</name></funapp></rhs></rule><rule><lhs><funapp><name>nil</name></funapp></lhs><rhs><funapp><name>n__nil</name></funapp></rhs></rule></rules></trs><complexityProof><rIsEmpty/></complexityProof></ruleShifting></complexityProof></ruleShifting></complexityProof></ruleShifting></complexityProof></ruleShifting></complexityProof></removeNonApplicableRules></complexityProof></proof><origin><proofOrigin><tool><name>TcT</name><version/></tool></proofOrigin></origin></certificationProblem>