YES
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sum></polynomial></interpret><interpret><name>3</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><coefficient><integer>1</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>4</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>5</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>2</name><arg><funapp><name>5</name><arg><funapp><name>1</name><arg><funapp><name>3</name><arg><funapp><name>1</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>5</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>3</name><arg><funapp><name>5</name><arg><funapp><name>3</name><arg><funapp><name>5</name><arg><funapp><name>0</name><arg><funapp><name>5</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>1</name><arg><funapp><name>5</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>5</name><arg><funapp><name>1</name><arg><funapp><name>3</name><arg><funapp><name>2</name><arg><funapp><name>3</name><arg><funapp><name>1</name><arg><funapp><name>5</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>1</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>3</name><arg><funapp><name>5</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>5</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>5</name><arg><funapp><name>2</name><arg><funapp><name>5</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>2</name><arg><funapp><name>5</name><arg><funapp><name>3</name><arg><funapp><name>5</name><arg><funapp><name>0</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>5</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>5</name><arg><funapp><name>4</name><arg><funapp><name>1</name><arg><funapp><name>4</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>3</name><arg><funapp><name>4</name><arg><funapp><name>5</name><arg><funapp><name>2</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>2</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>5</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>5</name><arg><f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Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
</version><strategy>Statistics for single proof: 100.00 % (5 real / 0 unknown / 0 assumptions / 5 total proof steps)</strategy><url>http://aprove.informatik.rwth-aachen.de</url></tool><toolUser><firstName>John</firstName><lastName>Doe</lastName></toolUser></proofOrigin><inputOrigin/></origin></certificationProblem>