3.09/1.64 WORST_CASE(NON_POLY, ?) 3.09/1.65 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.09/1.65 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.09/1.65 3.09/1.65 3.09/1.65 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 3.09/1.65 3.09/1.65 (0) Name of obligation not specified 3.09/1.65 (1) ExtraVarProof [FINISHED, 0 ms] 3.09/1.65 (2) BOUNDS(INF, INF) 3.09/1.65 3.09/1.65 3.09/1.65 ---------------------------------------- 3.09/1.65 3.09/1.65 (0) 3.09/1.65 Obligation: 3.09/1.65 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 3.09/1.65 3.09/1.65 3.09/1.65 The TRS R consists of the following rules: 3.09/1.65 3.09/1.65 and(tt) -> X 3.09/1.65 __(__(X, Y), Z) -> __(X, __(Y, Z)) 3.09/1.65 __(X, nil) -> X 3.09/1.65 __(nil, X) -> X 3.09/1.65 U11(tt) -> U12(isNeList) 3.09/1.65 U12(tt) -> tt 3.09/1.65 U21(tt) -> U22(isList) 3.09/1.65 U22(tt) -> U23(isList) 3.09/1.65 U23(tt) -> tt 3.09/1.65 U31(tt) -> U32(isQid) 3.09/1.65 U32(tt) -> tt 3.09/1.65 U41(tt) -> U42(isList) 3.09/1.65 U42(tt) -> U43(isNeList) 3.09/1.65 U43(tt) -> tt 3.09/1.65 U51(tt) -> U52(isNeList) 3.09/1.65 U52(tt) -> U53(isList) 3.09/1.65 U53(tt) -> tt 3.09/1.65 U61(tt) -> U62(isQid) 3.09/1.65 U62(tt) -> tt 3.09/1.65 U71(tt) -> U72(isNePal) 3.09/1.65 U72(tt) -> tt 3.09/1.65 isList -> U11(isPalListKind) 3.09/1.65 isList -> tt 3.09/1.65 isList -> U21(and(isPalListKind)) 3.09/1.65 isNeList -> U31(isPalListKind) 3.09/1.65 isNeList -> U41(and(isPalListKind)) 3.09/1.65 isNeList -> U51(and(isPalListKind)) 3.09/1.65 isNePal -> U61(isPalListKind) 3.09/1.65 isNePal -> and(and(isQid)) 3.09/1.65 isPal -> U71(isPalListKind) 3.09/1.65 isPal -> tt 3.09/1.65 isPalListKind -> tt 3.09/1.65 isPalListKind -> and(isPalListKind) 3.09/1.65 isQid -> tt 3.09/1.65 3.09/1.65 3.09/1.65 ---------------------------------------- 3.09/1.65 3.09/1.65 (1) ExtraVarProof (FINISHED) 3.09/1.65 unbounded runtime complexity due to extra variable on rhs 3.09/1.65 ---------------------------------------- 3.09/1.65 3.09/1.65 (2) 3.09/1.65 BOUNDS(INF, INF) 3.09/1.68 EOF