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TRS_Outermost 2019-04-01 06.45 pair #433314748
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
n001.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
59.4309 seconds
cpu usage
216.855
user time
210.375
system time
6.4801
max virtual memory
5.5202932E7
max residence set size
8886392.0
stage attributes
key
value
starexec-result
YES
output
216.53/59.30 YES 216.53/59.33 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 216.53/59.33 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 216.53/59.33 216.53/59.33 216.53/59.33 Outermost Termination of the given OTRS could be proven: 216.53/59.33 216.53/59.33 (0) OTRS 216.53/59.33 (1) Raffelsieper-Zantema-Transformation [SOUND, 0 ms] 216.53/59.33 (2) QTRS 216.53/59.33 (3) QTRSRRRProof [EQUIVALENT, 128 ms] 216.53/59.33 (4) QTRS 216.53/59.33 (5) QTRSRRRProof [EQUIVALENT, 52 ms] 216.53/59.33 (6) QTRS 216.53/59.33 (7) QTRSRRRProof [EQUIVALENT, 60 ms] 216.53/59.33 (8) QTRS 216.53/59.33 (9) QTRSRRRProof [EQUIVALENT, 77 ms] 216.53/59.33 (10) QTRS 216.53/59.33 (11) QTRSRRRProof [EQUIVALENT, 53 ms] 216.53/59.33 (12) QTRS 216.53/59.33 (13) QTRSRRRProof [EQUIVALENT, 61 ms] 216.53/59.33 (14) QTRS 216.53/59.33 (15) QTRSRRRProof [EQUIVALENT, 69 ms] 216.53/59.33 (16) QTRS 216.53/59.33 (17) QTRSRRRProof [EQUIVALENT, 77 ms] 216.53/59.33 (18) QTRS 216.53/59.33 (19) DependencyPairsProof [EQUIVALENT, 0 ms] 216.53/59.33 (20) QDP 216.53/59.33 (21) DependencyGraphProof [EQUIVALENT, 0 ms] 216.53/59.33 (22) AND 216.53/59.33 (23) QDP 216.53/59.33 (24) UsableRulesProof [EQUIVALENT, 0 ms] 216.53/59.33 (25) QDP 216.53/59.33 (26) QDPSizeChangeProof [EQUIVALENT, 0 ms] 216.53/59.33 (27) YES 216.53/59.33 (28) QDP 216.53/59.33 (29) UsableRulesProof [EQUIVALENT, 0 ms] 216.53/59.33 (30) QDP 216.53/59.33 (31) QDPSizeChangeProof [EQUIVALENT, 0 ms] 216.53/59.33 (32) YES 216.53/59.33 (33) QDP 216.53/59.33 (34) UsableRulesProof [EQUIVALENT, 0 ms] 216.53/59.33 (35) QDP 216.53/59.33 (36) TransformationProof [EQUIVALENT, 0 ms] 216.53/59.33 (37) QDP 216.53/59.33 (38) DependencyGraphProof [EQUIVALENT, 0 ms] 216.53/59.33 (39) QDP 216.53/59.33 (40) QDPOrderProof [EQUIVALENT, 35 ms] 216.53/59.33 (41) QDP 216.53/59.33 (42) QDPOrderProof [EQUIVALENT, 2 ms] 216.53/59.33 (43) QDP 216.53/59.33 (44) DependencyGraphProof [EQUIVALENT, 0 ms] 216.53/59.33 (45) QDP 216.53/59.33 (46) QDPOrderProof [EQUIVALENT, 19 ms] 216.53/59.33 (47) QDP 216.53/59.33 (48) QDPOrderProof [EQUIVALENT, 161 ms] 216.53/59.33 (49) QDP 216.53/59.33 (50) QDPOrderProof [EQUIVALENT, 153 ms] 216.53/59.33 (51) QDP 216.53/59.33 (52) QDPOrderProof [EQUIVALENT, 115 ms] 216.53/59.33 (53) QDP 216.53/59.33 (54) QDPOrderProof [EQUIVALENT, 98 ms] 216.53/59.33 (55) QDP 216.53/59.33 (56) QDPOrderProof [EQUIVALENT, 4957 ms] 216.53/59.33 (57) QDP 216.53/59.33 (58) QDPOrderProof [EQUIVALENT, 3029 ms] 216.53/59.33 (59) QDP 216.53/59.33 (60) QDPOrderProof [EQUIVALENT, 1279 ms] 216.53/59.33 (61) QDP 216.53/59.33 (62) PisEmptyProof [EQUIVALENT, 0 ms] 216.53/59.33 (63) YES 216.53/59.33 216.53/59.33 216.53/59.33 ---------------------------------------- 216.53/59.33 216.53/59.33 (0) 216.53/59.33 Obligation: 216.53/59.33 Term rewrite system R: 216.53/59.33 The TRS R consists of the following rules: 216.53/59.33 216.53/59.33 a__zeros -> cons(0, zeros) 216.53/59.33 a__U11(tt, L) -> a__U12(tt, L) 216.53/59.33 a__U12(tt, L) -> s(a__length(mark(L))) 216.53/59.33 a__length(nil) -> 0 216.53/59.33 a__length(cons(N, L)) -> a__U11(tt, L) 216.53/59.33 mark(zeros) -> a__zeros 216.53/59.33 mark(U11(X1, X2)) -> a__U11(mark(X1), X2) 216.53/59.33 mark(U12(X1, X2)) -> a__U12(mark(X1), X2) 216.53/59.33 mark(length(X)) -> a__length(mark(X)) 216.53/59.33 mark(cons(X1, X2)) -> cons(mark(X1), X2) 216.53/59.33 mark(0) -> 0 216.53/59.33 mark(tt) -> tt 216.53/59.33 mark(s(X)) -> s(mark(X)) 216.53/59.33 mark(nil) -> nil 216.53/59.33 a__zeros -> zeros 216.53/59.33 a__U11(X1, X2) -> U11(X1, X2) 216.53/59.33 a__U12(X1, X2) -> U12(X1, X2) 216.53/59.33 a__length(X) -> length(X) 216.53/59.33 216.53/59.33
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