details

property	value
status	complete
benchmark	OvConsOS_nokinds-noand.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n143.star.cs.uiowa.edu
space	Maude_06

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	14.0738039017 seconds
cpu usage	10.027762325
max memory	7.33720576E8

stage attributes

key	value
output-size	37262
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 118 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 22 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 18 ms] (6) CSR (7) CSDependencyPairsProof [EQUIVALENT, 51 ms] (8) QCSDP (9) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (10) AND (11) QCSDP (12) QCSUsableRulesProof [EQUIVALENT, 0 ms] (13) QCSDP (14) QCSDPMuMonotonicPoloProof [EQUIVALENT, 3 ms] (15) QCSDP (16) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (17) QCSDP (18) QCSDPSubtermProof [EQUIVALENT, 0 ms] (19) QCSDP (20) PIsEmptyProof [EQUIVALENT, 0 ms] (21) YES (22) QCSDP (23) QCSDPSubtermProof [EQUIVALENT, 0 ms] (24) QCSDP (25) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (26) TRUE (27) QCSDP (28) QCSDPReductionPairProof [EQUIVALENT, 23 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) -> tt U21(tt) -> tt U31(tt) -> tt U41(tt, V2) -> U42(isNatIList(V2)) U42(tt) -> tt U51(tt, V2) -> U52(isNatList(V2)) U52(tt) -> tt U61(tt, V2) -> U62(isNatIList(V2)) U62(tt) -> tt U71(tt, L, N) -> U72(isNat(N), L) U72(tt, L) -> s(length(L)) U81(tt) -> nil U91(tt, IL, M, N) -> U92(isNat(M), IL, M, N) U92(tt, IL, M, N) -> U93(isNat(N), IL, M, N) U93(tt, IL, M, N) -> cons(N, take(M, IL)) isNat(0) -> tt isNat(length(V1)) -> U11(isNatList(V1)) isNat(s(V1)) -> U21(isNat(V1)) isNatIList(V) -> U31(isNatList(V)) isNatIList(zeros) -> tt isNatIList(cons(V1, V2)) -> U41(isNat(V1), V2) isNatList(nil) -> tt isNatList(cons(V1, V2)) -> U51(isNat(V1), V2) isNatList(take(V1, V2)) -> U61(isNat(V1), V2) length(nil) -> 0 length(cons(N, L)) -> U71(isNatList(L), L, N) take(0, IL) -> U81(isNatIList(IL)) take(s(M), cons(N, IL)) -> U91(isNatIList(IL), IL, M, N) The replacement map contains the following entries: zeros: empty set cons: {1} 0: empty set U11: {1} tt: empty set U21: {1} U31: {1} U41: {1} U42: {1} isNatIList: empty set U51: {1} U52: {1} isNatList: empty set U61: {1} popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to TRS Context Sensitive