TRS Standard pair #487071383

details

property	value
status	complete
benchmark	Ex1_GL02a_FR.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n173.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	106.565 seconds
cpu usage	320.942
user time	314.885
system time	6.0569
max virtual memory	3.717444E7
max residence set size	8394632.0

stage attributes

key	value
starexec-result	NO

output

NO
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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 disproven:

(0) QTRS
(1) DependencyPairsProof [EQUIVALENT, 0 ms]
(2) QDP
(3) DependencyGraphProof [EQUIVALENT, 0 ms]
(4) AND
    (5) QDP
        (6) QDPOrderProof [EQUIVALENT, 142 ms]
        (7) QDP
        (8) QDPOrderProof [EQUIVALENT, 66 ms]
        (9) QDP
        (10) QDPOrderProof [EQUIVALENT, 89 ms]
        (11) QDP
        (12) DependencyGraphProof [EQUIVALENT, 0 ms]
        (13) QDP
        (14) QDPOrderProof [EQUIVALENT, 22 ms]
        (15) QDP
        (16) DependencyGraphProof [EQUIVALENT, 0 ms]
        (17) TRUE
    (18) QDP
        (19) TransformationProof [EQUIVALENT, 0 ms]
        (20) QDP
        (21) TransformationProof [EQUIVALENT, 0 ms]
        (22) QDP
        (23) DependencyGraphProof [EQUIVALENT, 0 ms]
        (24) QDP
        (25) TransformationProof [EQUIVALENT, 0 ms]
        (26) QDP
        (27) TransformationProof [EQUIVALENT, 0 ms]
        (28) QDP
        (29) TransformationProof [EQUIVALENT, 14 ms]
        (30) QDP
        (31) TransformationProof [EQUIVALENT, 0 ms]
        (32) QDP
        (33) TransformationProof [EQUIVALENT, 0 ms]
        (34) QDP
        (35) TransformationProof [EQUIVALENT, 0 ms]
        (36) QDP
        (37) DependencyGraphProof [EQUIVALENT, 0 ms]
        (38) QDP
        (39) TransformationProof [EQUIVALENT, 18 ms]
        (40) QDP
        (41) TransformationProof [EQUIVALENT, 91 ms]
        (42) QDP
        (43) DependencyGraphProof [EQUIVALENT, 0 ms]
        (44) QDP
        (45) TransformationProof [EQUIVALENT, 56 ms]
        (46) QDP
        (47) TransformationProof [EQUIVALENT, 166 ms]
        (48) QDP
        (49) DependencyGraphProof [EQUIVALENT, 0 ms]
        (50) QDP
        (51) TransformationProof [EQUIVALENT, 186 ms]
        (52) QDP
        (53) TransformationProof [EQUIVALENT, 167 ms]
        (54) QDP
        (55) DependencyGraphProof [EQUIVALENT, 0 ms]
        (56) QDP
        (57) TransformationProof [EQUIVALENT, 151 ms]
        (58) QDP
        (59) QDPOrderProof [EQUIVALENT, 96 ms]
        (60) QDP
        (61) QDPOrderProof [EQUIVALENT, 35 ms]
        (62) QDP
        (63) NonTerminationLoopProof [COMPLETE, 52.1 s]
        (64) NO


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

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

   eq(n__0, n__0) -> true
   eq(n__s(X), n__s(Y)) -> eq(activate(X), activate(Y))
   eq(X, Y) -> false
   inf(X) -> cons(X, n__inf(n__s(X)))
   take(0, X) -> nil
   take(s(X), cons(Y, L)) -> cons(activate(Y), n__take(activate(X), activate(L)))
   length(nil) -> 0
   length(cons(X, L)) -> s(n__length(activate(L)))
   0 -> n__0
   s(X) -> n__s(X)
   inf(X) -> n__inf(X)
   take(X1, X2) -> n__take(X1, X2)
   length(X) -> n__length(X)
   activate(n__0) -> 0
   activate(n__s(X)) -> s(X)
   activate(n__inf(X)) -> inf(activate(X))
   activate(n__take(X1, X2)) -> take(activate(X1), activate(X2))
   activate(n__length(X)) -> length(activate(X))
   activate(X) -> X

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