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TRS Conte Sensi 17651 pair #381733398
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
n074.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.32687401772 seconds
cpu usage
6.416726173
max memory
3.86699264E8
stage attributes
key
value
output-size
37270
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 103 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 0 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 0 ms] (6) CSR (7) CSDependencyPairsProof [EQUIVALENT, 49 ms] (8) QCSDP (9) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (10) AND (11) QCSDP (12) QCSUsableRulesProof [EQUIVALENT, 0 ms] (13) QCSDP (14) QCSDPMuMonotonicPoloProof [EQUIVALENT, 22 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, 30 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}
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