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TRS Contextsensitive pair #487092643
details
property
value
status
complete
benchmark
OvConsOS_complete-noand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.14888 seconds
cpu usage
9.99222
user time
9.57379
system time
0.418423
max virtual memory
5.5401652E7
max residence set size
947016.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 135 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 32 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 24 ms] (6) CSR (7) CSDependencyPairsProof [EQUIVALENT, 92 ms] (8) QCSDP (9) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (10) AND (11) QCSDP (12) QCSUsableRulesProof [EQUIVALENT, 2 ms] (13) QCSDP (14) QCSDPMuMonotonicPoloProof [EQUIVALENT, 0 ms] (15) QCSDP (16) PIsEmptyProof [EQUIVALENT, 0 ms] (17) YES (18) QCSDP (19) QCSUsableRulesProof [EQUIVALENT, 17 ms] (20) QCSDP (21) QCSDPMuMonotonicPoloProof [EQUIVALENT, 78 ms] (22) QCSDP (23) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (24) QCSDP (25) QCSDPSubtermProof [EQUIVALENT, 0 ms] (26) QCSDP (27) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (28) TRUE (29) QCSDP (30) QCSDPSubtermProof [EQUIVALENT, 0 ms] (31) QCSDP (32) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (33) TRUE (34) QCSDP (35) QCSDPReductionPairProof [EQUIVALENT, 58 ms] (36) QCSDP (37) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (38) TRUE ---------------------------------------- (0) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: zeros -> cons(0, zeros) U101(tt, V1, V2) -> U102(isNatKind(V1), V1, V2) U102(tt, V1, V2) -> U103(isNatIListKind(V2), V1, V2) U103(tt, V1, V2) -> U104(isNatIListKind(V2), V1, V2) U104(tt, V1, V2) -> U105(isNat(V1), V2) U105(tt, V2) -> U106(isNatIList(V2)) U106(tt) -> tt U11(tt, V1) -> U12(isNatIListKind(V1), V1) U111(tt, L, N) -> U112(isNatIListKind(L), L, N) U112(tt, L, N) -> U113(isNat(N), L, N) U113(tt, L, N) -> U114(isNatKind(N), L) U114(tt, L) -> s(length(L)) U12(tt, V1) -> U13(isNatList(V1)) U121(tt, IL) -> U122(isNatIListKind(IL)) U122(tt) -> nil U13(tt) -> tt U131(tt, IL, M, N) -> U132(isNatIListKind(IL), IL, M, N) U132(tt, IL, M, N) -> U133(isNat(M), IL, M, N) U133(tt, IL, M, N) -> U134(isNatKind(M), IL, M, N) U134(tt, IL, M, N) -> U135(isNat(N), IL, M, N) U135(tt, IL, M, N) -> U136(isNatKind(N), IL, M, N) U136(tt, IL, M, N) -> cons(N, take(M, IL)) U21(tt, V1) -> U22(isNatKind(V1), V1) U22(tt, V1) -> U23(isNat(V1)) U23(tt) -> tt U31(tt, V) -> U32(isNatIListKind(V), V) U32(tt, V) -> U33(isNatList(V)) U33(tt) -> tt U41(tt, V1, V2) -> U42(isNatKind(V1), V1, V2) U42(tt, V1, V2) -> U43(isNatIListKind(V2), V1, V2) U43(tt, V1, V2) -> U44(isNatIListKind(V2), V1, V2) U44(tt, V1, V2) -> U45(isNat(V1), V2) U45(tt, V2) -> U46(isNatIList(V2)) U46(tt) -> tt U51(tt, V2) -> U52(isNatIListKind(V2)) U52(tt) -> tt U61(tt, V2) -> U62(isNatIListKind(V2)) U62(tt) -> tt U71(tt) -> tt U81(tt) -> tt U91(tt, V1, V2) -> U92(isNatKind(V1), V1, V2) U92(tt, V1, V2) -> U93(isNatIListKind(V2), V1, V2) U93(tt, V1, V2) -> U94(isNatIListKind(V2), V1, V2) U94(tt, V1, V2) -> U95(isNat(V1), V2) U95(tt, V2) -> U96(isNatList(V2))
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