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


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<certificationProblem xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" 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ule></ruleWithWDP><ruleWithWDP><rule><lhs><funapp><name>dx</name><arg><funapp><name>plus</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>plus</name><arg><funapp><name>dx</name><arg><var>ALPHA</var></arg></funapp></arg><arg><funapp><name>dx</name><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>plus</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule></ruleWithWDP><ruleWithWDP><rule><lhs><funapp><name>dx</name><arg><funapp><name>times</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>plus</name><arg><funapp><name>times</name><arg><var>BETA</var></arg><arg><funapp><name>dx</name><arg><var>ALPHA</var></arg></funapp></arg></funapp></arg><arg><funapp><name>times</name><arg><var>ALPHA</var></arg><arg><funapp><name>dx</name><arg><var>BETA</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>times</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><var>BETA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule></ruleWithWDP></strictWDPs><weakWDPs/><innermostLhss><funapp><sharp><name>dx</name></sharp><arg><var>X</var></arg></funapp><funapp><sharp><name>dx</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp><funapp><sharp><name>dx</name></sharp><arg><funapp><name>div</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp><funapp><sharp><name>dx</name></sharp><arg><funapp><name>exp</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp><funapp><sharp><name>dx</name></sharp><arg><funapp><name>ln</name><arg><var>ALPHA</var></arg></funapp></arg></funapp><funapp><sharp><name>dx</name></sharp><arg><funapp><name>minus</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp><funapp><sharp><name>dx</name></sharp><arg><funapp><name>neg</name><arg><var>ALPHA</var></arg></funapp></arg></funapp><funapp><sharp><name>dx</name></sharp><arg><funapp><name>plus</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp><funapp><sharp><name>dx</name></sharp><arg><funapp><name>times</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></innermostLhss><complexityProof><usableRules><nonUsableRules><rules><rule><lhs><funapp><name>dx</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>one</name></funapp></rhs></rule><rule><lhs><funapp><name>dx</name><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><name>zero</name></funapp></rhs></rule><rule><lhs><funapp><name>dx</name><arg><funapp><name>div</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>minus</name><arg><funapp><name>div</name><arg><funapp><name>dx</name><arg><var>ALPHA</var></arg></funapp></arg><arg><var>BETA</var></arg></funapp></arg><arg><funapp><name>times</name><arg><var>ALPHA</var></arg><arg><funapp><name>div</name><arg><funapp><name>dx</name><arg><var>BETA</var></arg></funapp></arg><arg><funapp><name>exp</name><arg><var>BETA</var></arg><arg><funapp><name>two</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>dx</name><arg><funapp><name>exp</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>plus</name><arg><funapp><name>times</name><arg><var>BETA</var></arg><arg><funapp><name>times</name><arg><funapp><name>exp</name><arg><var>ALPHA</var></arg><arg><funapp><name>minus</name><arg><var>BETA</var></arg><arg><funapp><name>one</name></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>dx</name><arg><var>ALPHA</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>times</name><arg><funapp><name>exp</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg><arg><funapp><name>times</name><arg><funapp><name>ln</name><arg><var>ALPHA</var></arg></funapp></arg><arg><funapp><name>dx</name><arg><var>BETA</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>dx</name><arg><funapp><name>ln</name><arg><var>ALPHA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>div</name><arg><funapp><name>dx</name><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>dx</name><arg><funapp><name>minus</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>minus</name><arg><funapp><name>dx</name><arg><var>ALPHA</var></arg></funapp></arg><arg><funapp><name>dx</name><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>dx</name><arg><funapp><name>neg</name><arg><var>ALPHA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>neg</name><arg><funapp><name>dx</name><arg><var>ALPHA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>dx</name><arg><funapp><name>plus</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>plus</name><arg><funapp><name>dx</name><arg><var>ALPHA</var></arg></funapp></arg><arg><funapp><name>dx</name><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>dx</name><arg><funapp><name>times</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>plus</name><arg><funapp><name>times</name><arg><var>BETA</var></arg><arg><funapp><name>dx</name><arg><var>ALPHA</var></arg></funapp></arg></funapp></arg><arg><funapp><name>times</name><arg><var>ALPHA</var></arg><arg><funapp><name>dx</name><arg><var>BETA</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></nonUsableRules><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><matrixInterpretation><domain><naturals/></domain><dimension>1</dimension><strictDimension>1</strictDimension></matrixInterpretation></type><interpret><name>a</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>div</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>dx</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>exp</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>2</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>ln</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>minus</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>neg</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>one</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>plus</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>times</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>two</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>zero</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><sharp><name>dx</name></sharp><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>8</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c1</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>c2</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>c3</name><arity>5</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>5</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c4</name><arity>8</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>3</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>5</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>6</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>7</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>8</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c5</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c6</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c7</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c8</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c9</name><arity>4</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>exp</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c4</name><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule></rules></trs><usableRules><rules><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>c1</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>div</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg><arg><var>BETA</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>exp</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c4</name><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>ln</name><arg><var>ALPHA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c5</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>minus</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c6</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>neg</name><arg><var>ALPHA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c7</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>plus</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>times</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><var>BETA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule></rules></usableRules><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><matrixInterpretation><domain><naturals/></domain><dimension>1</dimension><strictDimension>1</strictDimension></matrixInterpretation></type><interpret><name>a</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>div</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>dx</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>exp</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>2</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>ln</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>minus</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>2</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>neg</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>2</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>one</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>plus</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>times</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>two</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>2</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>zero</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><sharp><name>dx</name></sharp><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>8</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c1</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>c2</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>c3</name><arity>5</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>5</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c4</name><arity>8</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>11</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>5</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>6</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>7</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>8</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c5</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>8</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c6</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>14</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c7</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>9</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c8</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>8</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c9</name><arity>4</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>minus</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c6</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>neg</name><arg><var>ALPHA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c7</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg></funapp></rhs></rule></rules></trs><usableRules><rules><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>c1</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>div</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg><arg><var>BETA</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>exp</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c4</name><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>ln</name><arg><var>ALPHA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c5</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>minus</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c6</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>neg</name><arg><var>ALPHA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c7</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>plus</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>times</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><var>BETA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule></rules></usableRules><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><matrixInterpretation><domain><naturals/></domain><dimension>1</dimension><strictDimension>1</strictDimension></matrixInterpretation></type><interpret><name>a</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>div</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>dx</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>exp</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>ln</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>minus</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>neg</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>one</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>plus</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>times</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>two</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>zero</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><sharp><name>dx</name></sharp><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>8</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c1</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>c2</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>c3</name><arity>5</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>5</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c4</name><arity>8</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>6</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>5</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>6</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>7</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>8</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c5</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c6</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c7</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c8</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c9</name><arity>4</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>7</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>plus</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>times</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><var>BETA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule></rules></trs><usableRules><rules><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>c1</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>div</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg><arg><var>BETA</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>exp</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c4</name><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>ln</name><arg><var>ALPHA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c5</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>minus</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c6</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>neg</name><arg><var>ALPHA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c7</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>plus</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>times</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><var>BETA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule></rules></usableRules><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><matrixInterpretation><domain><naturals/></domain><dimension>1</dimension><strictDimension>1</strictDimension></matrixInterpretation></type><interpret><name>a</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>div</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>dx</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>2</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>exp</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>3</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>ln</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>minus</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>neg</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>2</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>one</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>plus</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>times</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>two</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>4</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>zero</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><sharp><name>dx</name></sharp><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>8</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c1</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>c2</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>7</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>c3</name><arity>5</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>5</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c4</name><arity>8</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>4</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>5</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>6</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>7</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>8</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c5</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>8</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c6</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c7</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>8</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c8</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>8</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c9</name><arity>4</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>8</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name></funapp></rhs></rule></rules></trs><usableRules><rules><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>c1</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>div</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg><arg><var>BETA</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>exp</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c4</name><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>ln</name><arg><var>ALPHA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c5</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>minus</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c6</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>neg</name><arg><var>ALPHA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c7</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>plus</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>times</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><var>BETA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule></rules></usableRules><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><matrixInterpretation><domain><naturals/></domain><dimension>1</dimension><strictDimension>1</strictDimension></matrixInterpretation></type><interpret><name>a</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>div</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>dx</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>exp</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>ln</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>4</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>minus</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>neg</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>one</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>plus</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>times</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>3</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>two</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>zero</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>2</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><sharp><name>dx</name></sharp><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>4</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c1</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>c2</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>c3</name><arity>5</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>5</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c4</name><arity>8</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>5</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>6</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>7</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>8</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c5</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c6</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c7</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c8</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>4</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c9</name><arity>4</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>12</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>ln</name><arg><var>ALPHA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c5</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg></funapp></rhs></rule></rules></trs><usableRules><rules><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>c1</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>div</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg><arg><var>BETA</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>exp</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c4</name><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>ln</name><arg><var>ALPHA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c5</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>minus</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c6</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>neg</name><arg><var>ALPHA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c7</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>plus</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>times</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><var>BETA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule></rules></usableRules><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><matrixInterpretation><domain><naturals/></domain><dimension>1</dimension><strictDimension>1</strictDimension></matrixInterpretation></type><interpret><name>a</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>2</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>div</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>8</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>dx</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>2</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>exp</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>4</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>ln</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>minus</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>neg</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>9</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>one</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>plus</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>8</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>times</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>10</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>two</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>2</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>zero</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>2</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><sharp><name>dx</name></sharp><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c1</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>c2</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>c3</name><arity>5</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>5</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c4</name><arity>8</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>4</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>5</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>6</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>7</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>8</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c5</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c6</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c7</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>8</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c8</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>6</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c9</name><arity>4</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>div</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg><arg><var>BETA</var></arg></funapp></rhs></rule></rules></trs><usableRules><rules><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>c1</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>div</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg><arg><var>BETA</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>exp</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c4</name><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>ln</name><arg><var>ALPHA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c5</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>minus</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c6</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>neg</name><arg><var>ALPHA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c7</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>plus</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>times</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><var>BETA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule></rules></usableRules><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><matrixInterpretation><domain><naturals/></domain><dimension>1</dimension><strictDimension>1</strictDimension></matrixInterpretation></type><interpret><name>a</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>4</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>div</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>5</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>dx</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>exp</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>2</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>ln</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>2</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>minus</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>5</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>neg</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>one</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>plus</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>3</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>times</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>2</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>two</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>zero</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><sharp><name>dx</name></sharp><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>4</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>4</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c1</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>2</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>c2</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>c3</name><arity>5</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>5</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>5</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c4</name><arity>8</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>4</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>5</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>6</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>7</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>8</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c5</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>8</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c6</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>13</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c7</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c8</name><arity>2</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>2</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c9</name><arity>4</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>4</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>c1</name></funapp></rhs></rule></rules></trs><usableRules><rules><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>c1</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>div</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg><arg><var>BETA</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>exp</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c4</name><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>ln</name><arg><var>ALPHA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c5</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>minus</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c6</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>neg</name><arg><var>ALPHA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c7</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>plus</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dx</name></sharp><arg><funapp><name>times</name><arg><var>ALPHA</var></arg><arg><var>BETA</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><var>BETA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>ALPHA</var></arg></funapp></arg><arg><var>ALPHA</var></arg><arg><funapp><sharp><name>dx</name></sharp><arg><var>BETA</var></arg></funapp></arg></funapp></rhs></rule></rules></usableRules><complexityProof><rIsEmpty/></complexityProof></ruleShifting></complexityProof></ruleShifting></complexityProof></ruleShifting></complexityProof></ruleShifting></complexityProof></ruleShifting></complexityProof></ruleShifting></complexityProof></ruleShifting></complexityProof></usableRules></complexityProof></wdpTransformation></complexityProof></proof><origin><proofOrigin><tool><name>TcT</name><version/></tool></proofOrigin></origin></certificationProblem>