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TRS Conte Sensi 17651 pair #381733239
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
n006.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.26424813271 seconds
cpu usage
9.970585315
max memory
9.50419456E8
stage attributes
key
value
output-size
93610
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 175 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 49 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 32 ms] (6) CSR (7) CSDependencyPairsProof [EQUIVALENT, 90 ms] (8) QCSDP (9) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (10) AND (11) QCSDP (12) QCSUsableRulesProof [EQUIVALENT, 0 ms] (13) QCSDP (14) QCSDPMuMonotonicPoloProof [EQUIVALENT, 0 ms] (15) QCSDP (16) PIsEmptyProof [EQUIVALENT, 0 ms] (17) YES (18) QCSDP (19) QCSUsableRulesProof [EQUIVALENT, 0 ms] (20) QCSDP (21) QCSDPMuMonotonicPoloProof [EQUIVALENT, 60 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, 103 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
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