TRS Context Sensitive pair #516978931

details

property	value
status	complete
benchmark	LengthOfFiniteLists_complete-noand.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n120.star.cs.uiowa.edu
space	Maude_06

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	3.7509868145 seconds
cpu usage	11.775276998
max memory	9.40957696E8

stage attributes

key	value
output-size	94668
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished


Termination of the given CSR could be proven:

(0) CSR
(1) CSRRRRProof [EQUIVALENT, 153 ms]
(2) CSR
(3) CSRRRRProof [EQUIVALENT, 27 ms]
(4) CSR
(5) CSRRRRProof [EQUIVALENT, 25 ms]
(6) CSR
(7) CSRRRRProof [EQUIVALENT, 13 ms]
(8) CSR
(9) CSRRRRProof [EQUIVALENT, 32 ms]
(10) CSR
(11) CSRRRRProof [EQUIVALENT, 22 ms]
(12) CSR
(13) CSRRRRProof [EQUIVALENT, 19 ms]
(14) CSR
(15) CSRRRRProof [EQUIVALENT, 14 ms]
(16) CSR
(17) CSRRRRProof [EQUIVALENT, 23 ms]
(18) CSR
(19) CSDependencyPairsProof [EQUIVALENT, 26 ms]
(20) QCSDP
(21) QCSDependencyGraphProof [EQUIVALENT, 0 ms]
(22) AND
    (23) QCSDP
        (24) QCSUsableRulesProof [EQUIVALENT, 0 ms]
        (25) QCSDP
        (26) QCSDPMuMonotonicPoloProof [EQUIVALENT, 0 ms]
        (27) QCSDP
        (28) QCSDPSubtermProof [EQUIVALENT, 0 ms]
        (29) QCSDP
        (30) PIsEmptyProof [EQUIVALENT, 0 ms]
        (31) YES
    (32) QCSDP
        (33) QCSDPSubtermProof [EQUIVALENT, 0 ms]
        (34) QCSDP
        (35) QCSDependencyGraphProof [EQUIVALENT, 0 ms]
        (36) TRUE
    (37) QCSDP
        (38) QCSUsableRulesProof [EQUIVALENT, 0 ms]
        (39) QCSDP
        (40) QCSDPMuMonotonicPoloProof [EQUIVALENT, 0 ms]
        (41) QCSDP
        (42) QCSDependencyGraphProof [EQUIVALENT, 0 ms]
        (43) TRUE
    (44) QCSDP
        (45) QCSDPReductionPairProof [EQUIVALENT, 28 ms]
        (46) QCSDP
        (47) QCSDependencyGraphProof [EQUIVALENT, 0 ms]
        (48) TRUE
    (49) QCSDP
        (50) QCSUsableRulesProof [EQUIVALENT, 0 ms]
        (51) QCSDP
        (52) QCSDPMuMonotonicPoloProof [EQUIVALENT, 13 ms]
        (53) QCSDP
        (54) QCSDependencyGraphProof [EQUIVALENT, 0 ms]
        (55) TRUE


----------------------------------------

(0)
Obligation:
Context-sensitive rewrite system:
The TRS R consists of the following rules:

   zeros -> cons(0, zeros)
   U11(tt, V1) -> U12(isNatIListKind(V1), V1)
   U12(tt, V1) -> U13(isNatList(V1))
   U13(tt) -> tt
   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) -> tt
   U71(tt) -> tt
   U81(tt, V1, V2) -> U82(isNatKind(V1), V1, V2)
   U82(tt, V1, V2) -> U83(isNatIListKind(V2), V1, V2)

popout

output may be truncated. 'popout' for the full output.

job log

popout

actions all output return to TRS Context Sensitive