YES
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napp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs></trsInput></input><cpfVersion>2.1</cpfVersion><proof><trsTerminationProof><flatContextClosure><flatContexts><funContext><name>0</name><before/><box/><after/></funContext><funContext><name>1</name><before/><box/><after/></funContext><funContext><name>2</name><before/><box/><after/></funContext></flatContexts><trs><rules><rule><lhs><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</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></lhs><rhs><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</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>0</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>1</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></lhs><rhs><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</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>0</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>2</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></arg></funapp></lhs><rhs><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>1</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>0</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>1</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></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napp><name>2</name><arg><funapp><name>2</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>1</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></arg></funapp></arg></funapp></lhs><rhs><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>2</name><arg><funapp><name>0</name><arg><funapp><name>1</name><arg><funapp><name>2</name><arg><funapp><name>1</name><arg><funapp><name>1</name><arg><funapp><name>1</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></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><trsTerminationProof><semlab><model><rootLabeling/></model><trs><rules><rule><lhs><funapp><labeledSymbol><name>0</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>2</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>2</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><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></lhs><rhs><funapp><labeledSymbol><name>0</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>2</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>2</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>2</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>2</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><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><labeledSymbol><name>0</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<name>2</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>2</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>2</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>2</name></symbolLabel></labeledSymbol><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></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><labeledSymbol><name>1</name><symbolLabel><name>2</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>2</name><symbolLabel><name>2</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>2</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>2</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>2</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>2</name></symbolLabel></labeledSymbol><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></lhs><rhs><funapp><sharp><labeledSymbol><name>1</name><symbolLabel><name>2</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>2</name><symbolLabel><name>2</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>2</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>2</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>2</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>2</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><labeledSymbol><name>1</name><symbolLabel><name>2</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>2</name><symbolLabel><name>2</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>2</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>2</name></symbolLabel></labeledSym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/name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>2</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>2</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>2</name></symbolLabel></labeledSymbol><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></lhs><rhs><funapp><sharp><labeledSymbol><name>1</name><symbolLabel><name>2</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>2</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>1</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>1</name><symbolLabel><name>0</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>0</name><symbolLabel><name>2</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component></depGraphProc></dpProof></dpTrans></trsTerminationProof></ruleRemoval></trsTerminationProof></ruleRemoval></trsTerminationProof></semlab></trsTerminationProof></flatContextClosure></trsTerminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
</version><strategy>Statistics for single proof: 100.00 % (8 real / 0 unknown / 0 assumptions / 8 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>