Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Innermost pair #487093055
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
n145.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.18023 seconds
cpu usage
4.99575
user time
4.7859
system time
0.209857
max virtual memory
1.840914E7
max residence set size
292084.0
stage attributes
key
value
starexec-result
YES
output
YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSToCSRProof [SOUND, 0 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 83 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 0 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 18 ms] (8) CSR (9) CSRRRRProof [EQUIVALENT, 0 ms] (10) CSR (11) CSRRRRProof [EQUIVALENT, 0 ms] (12) CSR (13) CSRRRRProof [EQUIVALENT, 0 ms] (14) CSR (15) CSRRRRProof [EQUIVALENT, 3 ms] (16) CSR (17) RisEmptyProof [EQUIVALENT, 0 ms] (18) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: 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)) active(U71(X1, X2)) -> U71(active(X1), X2) active(U72(X)) -> U72(active(X)) active(U81(X)) -> U81(active(X)) __(mark(X1), X2) -> mark(__(X1, X2)) __(X1, mark(X2)) -> mark(__(X1, X2)) U11(mark(X)) -> mark(U11(X)) U21(mark(X1), X2) -> mark(U21(X1, X2)) U22(mark(X)) -> mark(U22(X)) U31(mark(X)) -> mark(U31(X)) U41(mark(X1), X2) -> mark(U41(X1, X2)) U42(mark(X)) -> mark(U42(X)) U51(mark(X1), X2) -> mark(U51(X1, X2)) U52(mark(X)) -> mark(U52(X)) U61(mark(X)) -> mark(U61(X)) U71(mark(X1), X2) -> mark(U71(X1, X2)) U72(mark(X)) -> mark(U72(X)) U81(mark(X)) -> mark(U81(X)) proper(__(X1, X2)) -> __(proper(X1), proper(X2)) proper(nil) -> ok(nil) proper(U11(X)) -> U11(proper(X)) proper(tt) -> ok(tt) proper(U21(X1, X2)) -> U21(proper(X1), proper(X2)) proper(U22(X)) -> U22(proper(X)) proper(isList(X)) -> isList(proper(X))
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Innermost