TRS Contextsensitive pair #487092621

details

property	value
status	complete
benchmark	LengthOfFiniteLists_complete.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n145.star.cs.uiowa.edu
space	Maude_06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	62.2833 seconds
cpu usage	193.784
user time	189.005
system time	4.77877
max virtual memory	3.7766212E7
max residence set size	7089152.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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 of the given CSR could be proven:

(0) CSR
(1) CSRRRRProof [EQUIVALENT, 102 ms]
(2) CSR
(3) CSRRRRProof [EQUIVALENT, 43 ms]
(4) CSR
(5) CSRRRRProof [EQUIVALENT, 19 ms]
(6) CSR
(7) CSRRRRProof [EQUIVALENT, 47 ms]
(8) CSR
(9) CSRRRRProof [EQUIVALENT, 0 ms]
(10) CSR
(11) CSRRRRProof [EQUIVALENT, 6 ms]
(12) CSR
(13) Incomplete Giesl Middeldorp-Transformation [SOUND, 0 ms]
(14) QTRS
(15) DependencyPairsProof [EQUIVALENT, 0 ms]
(16) QDP
(17) DependencyGraphProof [EQUIVALENT, 0 ms]
(18) QDP
(19) QDPOrderProof [EQUIVALENT, 129 ms]
(20) QDP
(21) DependencyGraphProof [EQUIVALENT, 0 ms]
(22) AND
    (23) QDP
        (24) QDPOrderProof [EQUIVALENT, 147 ms]
        (25) QDP
        (26) QDPOrderProof [EQUIVALENT, 151 ms]
        (27) QDP
        (28) QDPOrderProof [EQUIVALENT, 167 ms]
        (29) QDP
        (30) QDPOrderProof [EQUIVALENT, 82 ms]
        (31) QDP
        (32) QDPOrderProof [EQUIVALENT, 117 ms]
        (33) QDP
        (34) QDPOrderProof [EQUIVALENT, 116 ms]
        (35) QDP
        (36) DependencyGraphProof [EQUIVALENT, 0 ms]
        (37) QDP
        (38) QDPOrderProof [EQUIVALENT, 101 ms]
        (39) QDP
        (40) DependencyGraphProof [EQUIVALENT, 0 ms]
        (41) AND
            (42) QDP
                (43) UsableRulesProof [EQUIVALENT, 0 ms]
                (44) QDP
                (45) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                (46) YES
            (47) QDP
                (48) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                (49) YES
            (50) QDP
                (51) QDPOrderProof [EQUIVALENT, 58 ms]
                (52) QDP
                (53) QDPOrderProof [EQUIVALENT, 105 ms]
                (54) QDP
                (55) QDPOrderProof [EQUIVALENT, 102 ms]
                (56) QDP
                (57) QDPOrderProof [EQUIVALENT, 93 ms]
                (58) QDP
                (59) DependencyGraphProof [EQUIVALENT, 0 ms]
                (60) AND
                    (61) QDP
                        (62) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                        (63) YES
                    (64) QDP
                        (65) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                        (66) YES
    (67) QDP
        (68) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (69) YES


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

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

   zeros -> cons(0, zeros)
   U11(tt, V1) -> U12(isNatList(V1))
   U12(tt) -> tt
   U21(tt, V1) -> U22(isNat(V1))
   U22(tt) -> tt
   U31(tt, V) -> U32(isNatList(V))
   U32(tt) -> tt
   U41(tt, V1, V2) -> U42(isNat(V1), V2)
   U42(tt, V2) -> U43(isNatIList(V2))
   U43(tt) -> tt
   U51(tt, V1, V2) -> U52(isNat(V1), V2)
   U52(tt, V2) -> U53(isNatList(V2))
   U53(tt) -> tt
   U61(tt, L) -> s(length(L))

popout

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

job log

popout

actions all output return to TRS Contextsensitive