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Derivational Complexity: TRS Innermost pair #487108992
details
property
value
status
complete
benchmark
PALINDROME_nokinds_noand_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n150.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
296.389 seconds
cpu usage
1162.09
user time
1148.58
system time
13.5077
max virtual memory
3.7780348E7
max residence set size
1.4659004E7
stage attributes
key
value
starexec-result
WORST_CASE(Omega(n^1), ?)
output
WORST_CASE(Omega(n^1), ?) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(n^1, INF). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 1012 ms] (4) CpxRelTRS (5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (6) CpxRelTRS (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (8) typed CpxTrs (9) OrderProof [LOWER BOUND(ID), 0 ms] (10) typed CpxTrs (11) RewriteLemmaProof [LOWER BOUND(ID), 489 ms] (12) BEST (13) proven lower bound (14) LowerBoundPropagationProof [FINISHED, 0 ms] (15) BOUNDS(n^1, INF) (16) typed CpxTrs (17) RewriteLemmaProof [LOWER BOUND(ID), 155 ms] (18) typed CpxTrs (19) RewriteLemmaProof [LOWER BOUND(ID), 90 ms] (20) typed CpxTrs (21) RewriteLemmaProof [LOWER BOUND(ID), 141 ms] (22) typed CpxTrs (23) RewriteLemmaProof [LOWER BOUND(ID), 116 ms] (24) typed CpxTrs (25) RewriteLemmaProof [LOWER BOUND(ID), 143 ms] (26) typed CpxTrs (27) RewriteLemmaProof [LOWER BOUND(ID), 188 ms] (28) typed CpxTrs (29) RewriteLemmaProof [LOWER BOUND(ID), 108 ms] (30) typed CpxTrs (31) RewriteLemmaProof [LOWER BOUND(ID), 171 ms] (32) typed CpxTrs (33) RewriteLemmaProof [LOWER BOUND(ID), 158 ms] (34) typed CpxTrs (35) RewriteLemmaProof [LOWER BOUND(ID), 116 ms] (36) typed CpxTrs (37) RewriteLemmaProof [LOWER BOUND(ID), 170 ms] (38) typed CpxTrs (39) RewriteLemmaProof [LOWER BOUND(ID), 102 ms] (40) typed CpxTrs ---------------------------------------- (0) Obligation: The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(n^1, INF). The TRS R consists of the following rules: active(__(__(X, Y), Z)) -> mark(__(X, __(Y, Z))) active(__(X, nil)) -> mark(X) active(__(nil, X)) -> mark(X) active(U11(tt)) -> mark(tt) active(U21(tt, V2)) -> mark(U22(isList(V2))) active(U22(tt)) -> mark(tt) active(U31(tt)) -> mark(tt) active(U41(tt, V2)) -> mark(U42(isNeList(V2))) active(U42(tt)) -> mark(tt) active(U51(tt, V2)) -> mark(U52(isList(V2))) active(U52(tt)) -> mark(tt) active(U61(tt)) -> mark(tt) active(U71(tt, P)) -> mark(U72(isPal(P))) active(U72(tt)) -> mark(tt) active(U81(tt)) -> mark(tt) active(isList(V)) -> mark(U11(isNeList(V))) active(isList(nil)) -> mark(tt) active(isList(__(V1, V2))) -> mark(U21(isList(V1), V2)) active(isNeList(V)) -> mark(U31(isQid(V))) active(isNeList(__(V1, V2))) -> mark(U41(isList(V1), V2)) active(isNeList(__(V1, V2))) -> mark(U51(isNeList(V1), V2)) active(isNePal(V)) -> mark(U61(isQid(V))) active(isNePal(__(I, __(P, I)))) -> mark(U71(isQid(I), P)) active(isPal(V)) -> mark(U81(isNePal(V))) active(isPal(nil)) -> mark(tt) active(isQid(a)) -> mark(tt) active(isQid(e)) -> mark(tt) active(isQid(i)) -> mark(tt) active(isQid(o)) -> mark(tt) active(isQid(u)) -> mark(tt) active(__(X1, X2)) -> __(active(X1), X2) active(__(X1, X2)) -> __(X1, active(X2)) active(U11(X)) -> U11(active(X)) active(U21(X1, X2)) -> U21(active(X1), X2) active(U22(X)) -> U22(active(X)) active(U31(X)) -> U31(active(X)) active(U41(X1, X2)) -> U41(active(X1), X2) active(U42(X)) -> U42(active(X)) active(U51(X1, X2)) -> U51(active(X1), X2) active(U52(X)) -> U52(active(X)) active(U61(X)) -> U61(active(X))
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