details

property	value
status	complete
benchmark	LengthOfFiniteLists_nokinds.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	Maude_06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.06336 seconds
cpu usage	5.14755
user time	4.88922
system time	0.258328
max virtual memory	1.854124E7
max residence set size	334324.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 62 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 0 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 13 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 0 ms] (8) CSR (9) CSRInnermostProof [EQUIVALENT, 0 ms] (10) CSR (11) CSDependencyPairsProof [EQUIVALENT, 0 ms] (12) QCSDP (13) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (14) AND (15) QCSDP (16) QCSDPSubtermProof [EQUIVALENT, 0 ms] (17) QCSDP (18) PIsEmptyProof [EQUIVALENT, 0 ms] (19) YES (20) QCSDP (21) QCSUsableRulesProof [EQUIVALENT, 0 ms] (22) QCSDP (23) QCSDPMuMonotonicPoloProof [EQUIVALENT, 0 ms] (24) QCSDP (25) PIsEmptyProof [EQUIVALENT, 0 ms] (26) YES (27) QCSDP (28) QCSDPReductionPairProof [EQUIVALENT, 18 ms] (29) QCSDP (30) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (31) TRUE ---------------------------------------- (0) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: zeros -> cons(0, zeros) U11(tt, L) -> s(length(L)) and(tt, X) -> X isNat(0) -> tt isNat(length(V1)) -> isNatList(V1) isNat(s(V1)) -> isNat(V1) isNatIList(V) -> isNatList(V) isNatIList(zeros) -> tt isNatIList(cons(V1, V2)) -> and(isNat(V1), isNatIList(V2)) isNatList(nil) -> tt isNatList(cons(V1, V2)) -> and(isNat(V1), isNatList(V2)) length(nil) -> 0 length(cons(N, L)) -> U11(and(isNatList(L), isNat(N)), L) The replacement map contains the following entries: zeros: empty set cons: {1} 0: empty set U11: {1} tt: empty set s: {1} length: {1} and: {1} isNat: empty set isNatList: empty set isNatIList: empty set nil: empty set ---------------------------------------- (1) CSRRRRProof (EQUIVALENT) The following CSR is given: Context-sensitive rewrite system: The TRS R consists of the following rules: zeros -> cons(0, zeros) U11(tt, L) -> s(length(L)) and(tt, X) -> X isNat(0) -> tt isNat(length(V1)) -> isNatList(V1) isNat(s(V1)) -> isNat(V1) isNatIList(V) -> isNatList(V) isNatIList(zeros) -> tt isNatIList(cons(V1, V2)) -> and(isNat(V1), isNatIList(V2)) isNatList(nil) -> tt isNatList(cons(V1, V2)) -> and(isNat(V1), isNatList(V2)) length(nil) -> 0 length(cons(N, L)) -> U11(and(isNatList(L), isNat(N)), L) The replacement map contains the following entries: zeros: empty set popout

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actions

all output return to TRS Contextsensitive