TRS Standard pair #516961840

details

property	value
status	complete
benchmark	LengthOfFiniteLists_nosorts_noand_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n008.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	11.349476099 seconds
cpu usage	12.973185311
max memory	7.70924544E8

stage attributes

key	value
output-size	27890
starexec-result	NO

output

/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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


NO
proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished


Termination w.r.t. Q of the given QTRS could be disproven:

(0) QTRS
(1) QTRSRRRProof [EQUIVALENT, 90 ms]
(2) QTRS
(3) QTRSRRRProof [EQUIVALENT, 28 ms]
(4) QTRS
(5) QTRSRRRProof [EQUIVALENT, 20 ms]
(6) QTRS
(7) QTRSRRRProof [EQUIVALENT, 0 ms]
(8) QTRS
(9) QTRSRRRProof [EQUIVALENT, 5 ms]
(10) QTRS
(11) QTRSRRRProof [EQUIVALENT, 0 ms]
(12) QTRS
(13) QTRSRRRProof [EQUIVALENT, 0 ms]
(14) QTRS
(15) QTRSRRRProof [EQUIVALENT, 9 ms]
(16) QTRS
(17) QTRSRRRProof [EQUIVALENT, 0 ms]
(18) QTRS
(19) QTRSRRRProof [EQUIVALENT, 0 ms]
(20) QTRS
(21) Overlay + Local Confluence [EQUIVALENT, 0 ms]
(22) QTRS
(23) DependencyPairsProof [EQUIVALENT, 0 ms]
(24) QDP
(25) DependencyGraphProof [EQUIVALENT, 0 ms]
(26) AND
    (27) QDP
        (28) UsableRulesProof [EQUIVALENT, 0 ms]
        (29) QDP
        (30) QReductionProof [EQUIVALENT, 0 ms]
        (31) QDP
        (32) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (33) YES
    (34) QDP
        (35) UsableRulesProof [EQUIVALENT, 0 ms]
        (36) QDP
        (37) QReductionProof [EQUIVALENT, 0 ms]
        (38) QDP
        (39) MRRProof [EQUIVALENT, 0 ms]
        (40) QDP
        (41) TransformationProof [EQUIVALENT, 0 ms]
        (42) QDP
        (43) UsableRulesProof [EQUIVALENT, 0 ms]
        (44) QDP
        (45) QReductionProof [EQUIVALENT, 0 ms]
        (46) QDP
        (47) TransformationProof [EQUIVALENT, 0 ms]
        (48) QDP
        (49) UsableRulesProof [EQUIVALENT, 0 ms]
        (50) QDP
        (51) QReductionProof [EQUIVALENT, 0 ms]
        (52) QDP
        (53) TransformationProof [EQUIVALENT, 0 ms]
        (54) QDP
        (55) TransformationProof [EQUIVALENT, 0 ms]
        (56) QDP
        (57) NonTerminationLoopProof [COMPLETE, 0 ms]
        (58) NO


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

(0)
Obligation:
Q restricted rewrite system:
The TRS R consists of the following rules:

   a__zeros -> cons(0, zeros)
   a__U11(tt, L) -> a__U12(tt, L)
   a__U12(tt, L) -> s(a__length(mark(L)))
   a__length(nil) -> 0
   a__length(cons(N, L)) -> a__U11(tt, L)
   mark(zeros) -> a__zeros
   mark(U11(X1, X2)) -> a__U11(mark(X1), X2)
   mark(U12(X1, X2)) -> a__U12(mark(X1), X2)
   mark(length(X)) -> a__length(mark(X))
   mark(cons(X1, X2)) -> cons(mark(X1), X2)
   mark(0) -> 0
   mark(tt) -> tt
   mark(s(X)) -> s(mark(X))
   mark(nil) -> nil
   a__zeros -> zeros
   a__U11(X1, X2) -> U11(X1, X2)
   a__U12(X1, X2) -> U12(X1, X2)
   a__length(X) -> length(X)

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