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TRS Stand 20472 pair #381716007
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
n109.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.5538289547 seconds
cpu usage
10.624567084
max memory
7.43841792E8
stage attributes
key
value
output-size
122872
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSToCSRProof [EQUIVALENT, 0 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 168 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 39 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 24 ms] (8) CSR (9) CSDependencyPairsProof [EQUIVALENT, 151 ms] (10) QCSDP (11) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (12) AND (13) QCSDP (14) QCSUsableRulesProof [EQUIVALENT, 0 ms] (15) QCSDP (16) QCSDPMuMonotonicPoloProof [EQUIVALENT, 7 ms] (17) QCSDP (18) PIsEmptyProof [EQUIVALENT, 0 ms] (19) YES (20) QCSDP (21) QCSUsableRulesProof [EQUIVALENT, 0 ms] (22) QCSDP (23) QCSDPMuMonotonicPoloProof [EQUIVALENT, 75 ms] (24) QCSDP (25) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (26) QCSDP (27) QCSDPSubtermProof [EQUIVALENT, 0 ms] (28) QCSDP (29) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (30) TRUE (31) QCSDP (32) QCSDPSubtermProof [EQUIVALENT, 2 ms] (33) QCSDP (34) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (35) TRUE (36) QCSDP (37) QCSDPReductionPairProof [EQUIVALENT, 103 ms] (38) QCSDP (39) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (40) 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))) active(U52(tt)) -> mark(tt) active(U61(tt, V2)) -> mark(U62(isNatIListKind(V2)))
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