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


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<?xml version="1.0" encoding="UTF-8" standalone="no"?><?xml-stylesheet type="text/xsl" href="cpfHTML.xsl"?><certificationProblem xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="cpf.xsd"><input><trsInput><trs><rules><rule><lhs><funapp><name>c</name></funapp></lhs><rhs><funapp><name>f</name></funapp></rhs></rule><rule><lhs><funapp><name>f</name></funapp></lhs><rhs><funapp><name>g</name></funapp></rhs></rule></rules></trs></trsInput></input><cpfVersion>2.1</cpfVersion><proof><trsTerminationProof><constantToUnary><var>x</var><renaming><renamingEntry><name>c</name><name>c'</name></renamingEntry><renamingEntry><name>f</name><name>f'</name></renamingEntry><renamingEntry><name>g</name><name>g'</name></renamingEntry></renaming><trs><rules><rule><lhs><funapp><name>c'</name><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>f'</name><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>f'</name><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>g'</name><arg><var>x</var></arg></funapp></rhs></rule></rules></trs><trsTerminationProof><stringReversal><trs><rules><rule><lhs><funapp><name>c'</name><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>f'</name><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>f'</name><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>g'</name><arg><var>x</var></arg></funapp></rhs></rule></rules></trs><trsTerminationProof><bounds><type><match/></type><bound>2</bound><finalStates><state>0</state><state>1</state><state>2</state></finalStates><treeAutomaton><finalStates><state>0</state><state>1</state><state>2</state></finalStates><transitions><transition><lhs><name>c'</name><height>0</height><state>0</state></lhs><rhs><state>0</state></rhs></transition><transition><lhs><name>c'</name><height>0</height><state>1</state></lhs><rhs><state>0</state></rhs></transition><transition><lhs><name>c'</name><height>0</height><state>2</state></lhs><rhs><state>0</state></rhs></transition><transition><lhs><name>f'</name><height>0</height><state>0</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>f'</name><height>0</height><state>1</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>f'</name><height>0</height><state>2</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>g'</name><height>0</height><state>0</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><name>g'</name><height>0</height><state>1</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><name>g'</name><height>0</height><state>2</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><name>f'</name><height>1</height><state>0</state></lhs><rhs><state>0</state></rhs></transition><transition><lhs><name>f'</name><height>1</height><state>1</state></lhs><rhs><state>0</state></rhs></transition><transition><lhs><name>f'</name><height>1</height><state>2</state></lhs><rhs><state>0</state></rhs></transition><transition><lhs><name>g'</name><height>1</height><state>0</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>g'</name><height>1</height><state>1</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>g'</name><height>1</height><state>2</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>g'</name><height>2</height><state>0</state></lhs><rhs><state>0</state></rhs></transition><transition><lhs><name>g'</name><height>2</height><state>1</state></lhs><rhs><state>0</state></rhs></transition><transition><lhs><name>g'</name><height>2</height><state>2</state></lhs><rhs><state>0</state></rhs></transition></transitions></treeAutomaton></bounds></trsTerminationProof></stringReversal></trsTerminationProof></constantToUnary></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 % (2 real / 0 unknown / 0 assumptions / 2 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>