TRS Equational pair #487092887

details

property	value
status	complete
benchmark	PEANO-NAT_nokinds-noand.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n142.star.cs.uiowa.edu
space	Mixed_C

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	7.65339 seconds
cpu usage	16.4288
user time	15.5597
system time	0.869101
max virtual memory	1.8300056E7
max residence set size	2493020.0

stage attributes

key	value
starexec-result	MAYBE

output

MAYBE
proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


Termination of the given ETRS could not be shown:

(0) ETRS
(1) EquationalDependencyPairsProof [EQUIVALENT, 0 ms]
(2) EDP
(3) EDependencyGraphProof [EQUIVALENT, 0 ms]
(4) AND
    (5) EDP
        (6) ESharpUsableEquationsProof [EQUIVALENT, 0 ms]
        (7) EDP
        (8) EUsableRulesReductionPairsProof [EQUIVALENT, 163 ms]
        (9) EDP
        (10) EDependencyGraphProof [EQUIVALENT, 0 ms]
        (11) TRUE
    (12) EDP
        (13) ESharpUsableEquationsProof [EQUIVALENT, 0 ms]
        (14) EDP
        (15) EUsableRulesReductionPairsProof [EQUIVALENT, 26 ms]
        (16) EDP
        (17) EDependencyGraphProof [EQUIVALENT, 0 ms]
        (18) TRUE
    (19) EDP
        (20) ESharpUsableEquationsProof [EQUIVALENT, 0 ms]
        (21) EDP
        (22) EUsableRulesReductionPairsProof [EQUIVALENT, 10 ms]
        (23) EDP
        (24) EDependencyGraphProof [EQUIVALENT, 0 ms]
        (25) TRUE
    (26) EDP
        (27) ESharpUsableEquationsProof [EQUIVALENT, 0 ms]
        (28) EDP
        (29) EUsableRulesReductionPairsProof [EQUIVALENT, 52 ms]
        (30) EDP
        (31) EDependencyGraphProof [EQUIVALENT, 0 ms]
        (32) TRUE
    (33) EDP
        (34) ESharpUsableEquationsProof [EQUIVALENT, 0 ms]
        (35) EDP
        (36) EUsableRulesReductionPairsProof [EQUIVALENT, 49 ms]
        (37) EDP
        (38) EDependencyGraphProof [EQUIVALENT, 0 ms]
        (39) TRUE
    (40) EDP
        (41) ESharpUsableEquationsProof [EQUIVALENT, 0 ms]
        (42) EDP
        (43) EUsableRulesProof [EQUIVALENT, 0 ms]
        (44) EDP
    (45) EDP


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

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

   1 -> s_(0)
   2 -> s_(s_(0))
   3 -> s_(s_(s_(0)))
   4 -> s_(s_(s_(s_(0))))
   5 -> s_(s_(s_(s_(s_(0)))))
   6 -> s_(s_(s_(s_(s_(s_(0))))))
   7 -> s_(s_(s_(s_(s_(s_(s_(0)))))))
   U101(tt, M, N) -> U102(isNat(N), M, N)
   U102(tt, M, N) -> d(N, M)
   U11(tt) -> 0
   U111(tt) -> 0
   U121(tt, M', N') -> U122(isNzNat(N'), M', N')
   U122(tt, M', N') -> U123(equal(_>_(N', M'), true), M', N')
   U123(tt, M', N') -> gcd(d(N', M'), M')
   U131(tt, N') -> N'
   U141(tt, V2) -> U142(isNat(V2))
   U142(tt) -> tt
   U151(tt, V2) -> U152(isNat(V2))
   U152(tt) -> tt
   U161(tt) -> tt
   U171(tt, V2) -> U172(isNat(V2))
   U172(tt) -> tt
   U181(tt, V2) -> U182(isNat(V2))
   U182(tt) -> tt
   U191(tt, V2) -> U192(isNat(V2))
   U192(tt) -> tt
   U201(tt, V2) -> U202(isNat(V2))
   U202(tt) -> tt
   U21(tt, M, N) -> U22(isNat(N), M, N)
   U211(tt) -> tt
   U22(tt, M, N) -> s_(_+_(N, _+_(M, _*_(N, M))))
   U221(tt, V2) -> U222(isNzNat(V2))
   U222(tt) -> tt
   U231(tt, V2) -> U232(isNzNat(V2))
   U232(tt) -> tt
   U241(tt, V2) -> U242(isNzNat(V2))
   U242(tt) -> tt
   U251(tt) -> tt

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actions all output return to TRS Equational