TRS Conte Sensi 17651 pair #381733287

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	n013.star.cs.uiowa.edu
space	Maude_06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	3.13250494003 seconds
cpu usage	9.52501543
max memory	8.23410688E8

stage attributes

key	value
output-size	94749
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 128 ms]
(2) CSR
(3) CSRRRRProof [EQUIVALENT, 32 ms]
(4) CSR
(5) CSRRRRProof [EQUIVALENT, 11 ms]
(6) CSR
(7) CSRRRRProof [EQUIVALENT, 8 ms]
(8) CSR
(9) CSRRRRProof [EQUIVALENT, 2 ms]
(10) CSR
(11) CSRRRRProof [EQUIVALENT, 29 ms]
(12) CSR
(13) CSRRRRProof [EQUIVALENT, 23 ms]
(14) CSR
(15) CSRRRRProof [EQUIVALENT, 0 ms]
(16) CSR
(17) CSRRRRProof [EQUIVALENT, 15 ms]
(18) CSR
(19) CSDependencyPairsProof [EQUIVALENT, 24 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, 20 ms]
        (46) QCSDP
        (47) QCSDependencyGraphProof [EQUIVALENT, 0 ms]
        (48) TRUE
    (49) QCSDP
        (50) QCSUsableRulesProof [EQUIVALENT, 0 ms]
        (51) QCSDP
        (52) QCSDPMuMonotonicPoloProof [EQUIVALENT, 11 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)

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actions all output return to TRS Conte Sensi 17651