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TRS Innermost pair #487093195
details
property
value
status
complete
benchmark
LengthOfFiniteLists_complete_noand_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n149.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.36213 seconds
cpu usage
9.68573
user time
9.26663
system time
0.419104
max virtual memory
1.9342056E7
max residence set size
752972.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSToCSRProof [SOUND, 0 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 93 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 9 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 21 ms] (8) CSR (9) CSRRRRProof [EQUIVALENT, 28 ms] (10) CSR (11) CSRRRRProof [EQUIVALENT, 0 ms] (12) CSR (13) CSRRRRProof [EQUIVALENT, 21 ms] (14) CSR (15) CSRRRRProof [EQUIVALENT, 36 ms] (16) CSR (17) CSRRRRProof [EQUIVALENT, 0 ms] (18) CSR (19) CSRRRRProof [EQUIVALENT, 6 ms] (20) CSR (21) CSDependencyPairsProof [EQUIVALENT, 0 ms] (22) QCSDP (23) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (24) AND (25) QCSDP (26) QCSUsableRulesProof [EQUIVALENT, 0 ms] (27) QCSDP (28) QCSDPMuMonotonicPoloProof [EQUIVALENT, 0 ms] (29) QCSDP (30) QCSDPSubtermProof [EQUIVALENT, 0 ms] (31) QCSDP (32) PIsEmptyProof [EQUIVALENT, 0 ms] (33) YES (34) QCSDP (35) QCSDPSubtermProof [EQUIVALENT, 1 ms] (36) QCSDP (37) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (38) TRUE (39) QCSDP (40) QCSUsableRulesProof [EQUIVALENT, 0 ms] (41) QCSDP (42) QCSDPMuMonotonicPoloProof [EQUIVALENT, 0 ms] (43) QCSDP (44) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (45) TRUE (46) QCSDP (47) QCSDPReductionPairProof [EQUIVALENT, 0 ms] (48) QCSDP (49) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (50) TRUE (51) QCSDP (52) QCSUsableRulesProof [EQUIVALENT, 0 ms] (53) QCSDP (54) QCSDPMuMonotonicPoloProof [EQUIVALENT, 0 ms] (55) QCSDP (56) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (57) TRUE ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(zeros) -> mark(cons(0, zeros)) active(U11(tt, V1)) -> mark(U12(isNatIListKind(V1), V1)) active(U12(tt, V1)) -> mark(U13(isNatList(V1))) active(U13(tt)) -> mark(tt) 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)) -> mark(tt) active(U71(tt)) -> mark(tt) active(U81(tt, V1, V2)) -> mark(U82(isNatKind(V1), V1, V2)) active(U82(tt, V1, V2)) -> mark(U83(isNatIListKind(V2), V1, V2)) active(U83(tt, V1, V2)) -> mark(U84(isNatIListKind(V2), V1, V2)) active(U84(tt, V1, V2)) -> mark(U85(isNat(V1), V2)) active(U85(tt, V2)) -> mark(U86(isNatList(V2))) active(U86(tt)) -> mark(tt)
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