details

property	value
status	complete
benchmark	PEANO-NAT_nosorts.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n131.star.cs.uiowa.edu
space	Mixed_C

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	5.35695 seconds
cpu usage	10.5337
user time	9.93101
system time	0.602717
max virtual memory	1.8277816E7
max residence set size	1973224.0

stage attributes

key	value
starexec-result	MAYBE

output

10.44/5.32 MAYBE 10.44/5.33 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 10.44/5.33 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 10.44/5.33 10.44/5.33 10.44/5.33 Termination of the given ETRS could not be shown: 10.44/5.33 10.44/5.33 (0) ETRS 10.44/5.33 (1) EquationalDependencyPairsProof [EQUIVALENT, 0 ms] 10.44/5.33 (2) EDP 10.44/5.33 (3) EDependencyGraphProof [EQUIVALENT, 0 ms] 10.44/5.33 (4) AND 10.44/5.33 (5) EDP 10.44/5.33 (6) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 10.44/5.33 (7) EDP 10.44/5.33 (8) EUsableRulesReductionPairsProof [EQUIVALENT, 48 ms] 10.44/5.33 (9) EDP 10.44/5.33 (10) PisEmptyProof [EQUIVALENT, 0 ms] 10.44/5.33 (11) YES 10.44/5.33 (12) EDP 10.44/5.33 (13) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 10.44/5.33 (14) EDP 10.44/5.33 (15) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] 10.44/5.33 (16) EDP 10.44/5.33 (17) PisEmptyProof [EQUIVALENT, 0 ms] 10.44/5.33 (18) YES 10.44/5.33 (19) EDP 10.44/5.33 (20) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 10.44/5.33 (21) EDP 10.44/5.33 (22) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] 10.44/5.33 (23) EDP 10.44/5.33 (24) PisEmptyProof [EQUIVALENT, 0 ms] 10.44/5.33 (25) YES 10.44/5.33 (26) EDP 10.44/5.33 (27) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 10.44/5.33 (28) EDP 10.44/5.33 (29) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] 10.44/5.33 (30) EDP 10.44/5.33 (31) PisEmptyProof [EQUIVALENT, 0 ms] 10.44/5.33 (32) YES 10.44/5.33 (33) EDP 10.44/5.33 (34) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 10.44/5.33 (35) EDP 10.44/5.33 (36) EUsableRulesProof [EQUIVALENT, 0 ms] 10.44/5.33 (37) EDP 10.44/5.33 (38) EDP 10.44/5.33 10.44/5.33 10.44/5.33 ---------------------------------------- 10.44/5.33 10.44/5.33 (0) 10.44/5.33 Obligation: 10.44/5.33 Equational rewrite system: 10.44/5.33 The TRS R consists of the following rules: 10.44/5.33 10.44/5.33 1 -> s_(0) 10.44/5.33 2 -> s_(s_(0)) 10.44/5.33 3 -> s_(s_(s_(0))) 10.44/5.33 4 -> s_(s_(s_(s_(0)))) 10.44/5.33 5 -> s_(s_(s_(s_(s_(0))))) 10.44/5.33 6 -> s_(s_(s_(s_(s_(s_(0)))))) 10.44/5.33 7 -> s_(s_(s_(s_(s_(s_(s_(0))))))) 10.44/5.33 U11(tt, M', N') -> U12(equal(_>_(N', M'), true), M', N') 10.44/5.33 U12(tt, M', N') -> gcd(d(N', M'), M') 10.44/5.33 U21(tt, M', N) -> U22(equal(_>_(M', N), true)) 10.44/5.33 U22(tt) -> 0 10.44/5.33 U31(tt, M', N) -> U32(equal(_>_(N, M'), true), M', N) 10.44/5.33 U32(tt, M', N) -> s_(quot(d(N, M'), M')) 10.44/5.33 _*_(N, 0) -> 0 10.44/5.33 _*_(s_(N), s_(M)) -> s_(_+_(N, _+_(M, _*_(N, M)))) 10.44/5.33 _+_(N, 0) -> N 10.44/5.33 _+_(s_(N), s_(M)) -> s_(s_(_+_(N, M))) 10.44/5.33 _<_(N, M) -> _>_(M, N) 10.44/5.33 _>_(0, M) -> false 10.44/5.33 _>_(N', 0) -> true 10.44/5.33 _>_(s_(N), s_(M)) -> _>_(N, M) 10.44/5.33 and(tt, X) -> X 10.44/5.33 d(0, N) -> N 10.44/5.33 d(s_(N), s_(M)) -> d(N, M) 10.44/5.33 equal(X, X) -> tt 10.44/5.33 gcd(0, N) -> 0 10.44/5.33 gcd(N', M') -> U11(tt, M', N') 10.44/5.33 gcd(N', N') -> N' 10.44/5.33 p_(s_(N)) -> N 10.44/5.33 quot(M', M') -> s_(0) 10.44/5.33 quot(N, M') -> U21(tt, M', N) 10.44/5.33 quot(N, M') -> U31(tt, M', N) 10.44/5.33 10.44/5.33 The set E consists of the following equations: 10.44/5.33 10.44/5.33 _*_(x, y) == _*_(y, x) 10.44/5.33 _+_(x, y) == _+_(y, x) 10.44/5.33 d(x, y) == d(y, x) 10.44/5.33 gcd(x, y) == gcd(y, x) 10.44/5.33 10.44/5.33 10.44/5.33 ---------------------------------------- 10.44/5.33 10.44/5.33 (1) EquationalDependencyPairsProof (EQUIVALENT) 10.44/5.33 Using Dependency Pairs [AG00,DA_STEIN] we result in the following initial EDP problem: popout

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

job log

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actions

all output return to TRS_Equational 2019-03-21 05.09