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


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abeledSymbol><name>g</name><symbolLabel><name>f</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>f</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>g</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>g</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>g</name><symbolLabel><name>f</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>f</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>g</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>g</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><var>x</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><relativeTerminationProof><ruleRemoval><orderingConstraintProof><redPair><interpretation><type><matrixInterpretation><domain><integers/></domain><dimension>2</dimension><strictDimension>1</strictDimension></matrixInterpretation></type><interpret><labeledSymbol><name>f</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient><coefficient><integer>0</integer></coefficient></vector><vector><coefficient><integer>1</integer></coefficient><coefficient><integer>2</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>g</name><symbolLabel><name>f</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient><coefficient><integer>2</integer></coefficient></vector></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient><coefficient><integer>1</integer></coefficient></vector><vector><coefficient><integer>0</integer></coefficient><coefficient><integer>2</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>g</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><matrix><vector><coefficient><integer>1</integer></coefficient><coefficient><integer>0</integer></coefficient></vector><vector><coefficient><integer>0</integer></coefficient><coefficient><integer>0</integer></coefficient></vector></matrix></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules/></trs><trs><rules><rule><lhs><funapp><labeledSymbol><name>g</name><symbolLabel><name>f</name></symbolLabel></labeledSymbol><arg><var>x</var></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>g</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>g</name><symbolLabel><name>f</name></symbolLabel></labeledSymbol><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>g</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><var>x</var></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>g</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>g</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>g</name><symbolLabel><name>f</name></symbolLabel></labeledSymbol><arg><var>x</var></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>g</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>g</name><symbolLabel><name>f</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>f</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>g</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>g</name><symbolLabel><name>f</name></symbolLabel></labeledSymbol><arg><var>x</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>g</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><var>x</var></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>g</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>g</name><symbolLabel><name>f</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>f</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>g</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>g</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><var>x</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><labeledSymbol><name>g</name><symbolLabel><name>f</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>f</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><name>g</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>g</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>g</name><symbolLabel><name>f</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>f</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>g</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>g</name><symbolLabel><name>g</name></symbolLabel></labeledSymbol><arg><var>x</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><relativeTerminationProof><rIsEmpty/></relativeTerminationProof></ruleRemoval></relativeTerminationProof></ruleRemoval></relativeTerminationProof></ruleRemoval></relativeTerminationProof></semlab></relativeTerminationProof></flatContextClosure></relativeTerminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty
</version><strategy>Statistics for single proof: 100.00 % (6 real / 0 unknown / 0 assumptions / 6 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>