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TRS Standard pair #516963300
details
property
value
status
complete
benchmark
OvConsOS_complete_noand_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n075.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
5.60111188889 seconds
cpu usage
13.420535795
max memory
1.014386688E9
stage attributes
key
value
output-size
131778
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSToCSRProof [EQUIVALENT, 0 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 180 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 54 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 36 ms] (8) CSR (9) CSRRRRProof [EQUIVALENT, 11 ms] (10) CSR (11) CSDependencyPairsProof [EQUIVALENT, 95 ms] (12) QCSDP (13) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (14) AND (15) QCSDP (16) QCSUsableRulesProof [EQUIVALENT, 0 ms] (17) QCSDP (18) QCSDPMuMonotonicPoloProof [EQUIVALENT, 3 ms] (19) QCSDP (20) PIsEmptyProof [EQUIVALENT, 0 ms] (21) YES (22) QCSDP (23) QCSUsableRulesProof [EQUIVALENT, 8 ms] (24) QCSDP (25) QCSDPMuMonotonicPoloProof [EQUIVALENT, 66 ms] (26) QCSDP (27) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (28) QCSDP (29) QCSDPSubtermProof [EQUIVALENT, 0 ms] (30) QCSDP (31) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (32) TRUE (33) QCSDP (34) QCSDPSubtermProof [EQUIVALENT, 18 ms] (35) QCSDP (36) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (37) TRUE (38) QCSDP (39) QCSDPReductionPairProof [EQUIVALENT, 84 ms] (40) QCSDP (41) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (42) TRUE ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(zeros) -> mark(cons(0, zeros)) active(U101(tt, V1, V2)) -> mark(U102(isNatKind(V1), V1, V2)) active(U102(tt, V1, V2)) -> mark(U103(isNatIListKind(V2), V1, V2)) active(U103(tt, V1, V2)) -> mark(U104(isNatIListKind(V2), V1, V2)) active(U104(tt, V1, V2)) -> mark(U105(isNat(V1), V2)) active(U105(tt, V2)) -> mark(U106(isNatIList(V2))) active(U106(tt)) -> mark(tt) active(U11(tt, V1)) -> mark(U12(isNatIListKind(V1), V1)) active(U111(tt, L, N)) -> mark(U112(isNatIListKind(L), L, N)) active(U112(tt, L, N)) -> mark(U113(isNat(N), L, N)) active(U113(tt, L, N)) -> mark(U114(isNatKind(N), L)) active(U114(tt, L)) -> mark(s(length(L))) active(U12(tt, V1)) -> mark(U13(isNatList(V1))) active(U121(tt, IL)) -> mark(U122(isNatIListKind(IL))) active(U122(tt)) -> mark(nil) active(U13(tt)) -> mark(tt) active(U131(tt, IL, M, N)) -> mark(U132(isNatIListKind(IL), IL, M, N)) active(U132(tt, IL, M, N)) -> mark(U133(isNat(M), IL, M, N)) active(U133(tt, IL, M, N)) -> mark(U134(isNatKind(M), IL, M, N)) active(U134(tt, IL, M, N)) -> mark(U135(isNat(N), IL, M, N)) active(U135(tt, IL, M, N)) -> mark(U136(isNatKind(N), IL, M, N)) active(U136(tt, IL, M, N)) -> mark(cons(N, take(M, IL))) active(U21(tt, V1)) -> mark(U22(isNatKind(V1), V1)) active(U22(tt, V1)) -> mark(U23(isNat(V1))) active(U23(tt)) -> mark(tt) active(U31(tt, V)) -> mark(U32(isNatIListKind(V), V)) active(U32(tt, V)) -> mark(U33(isNatList(V))) active(U33(tt)) -> mark(tt) active(U41(tt, V1, V2)) -> mark(U42(isNatKind(V1), V1, V2)) active(U42(tt, V1, V2)) -> mark(U43(isNatIListKind(V2), V1, V2)) active(U43(tt, V1, V2)) -> mark(U44(isNatIListKind(V2), V1, V2)) active(U44(tt, V1, V2)) -> mark(U45(isNat(V1), V2)) active(U45(tt, V2)) -> mark(U46(isNatIList(V2))) active(U46(tt)) -> mark(tt) active(U51(tt, V2)) -> mark(U52(isNatIListKind(V2)))
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