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TRS_Outermost 2019-04-01 06.45 pair #433314616
details
property
value
status
complete
benchmark
LengthOfFiniteLists_nosorts_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n129.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
22.9039 seconds
cpu usage
77.1967
user time
73.8341
system time
3.36255
max virtual memory
1.9149552E7
max residence set size
5843884.0
stage attributes
key
value
starexec-result
YES
output
77.01/22.83 YES 77.01/22.84 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 77.01/22.84 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 77.01/22.84 77.01/22.84 77.01/22.84 Outermost Termination of the given OTRS could be proven: 77.01/22.84 77.01/22.84 (0) OTRS 77.01/22.84 (1) Raffelsieper-Zantema-Transformation [SOUND, 0 ms] 77.01/22.84 (2) QTRS 77.01/22.84 (3) QTRSRRRProof [EQUIVALENT, 86 ms] 77.01/22.84 (4) QTRS 77.01/22.84 (5) QTRSRRRProof [EQUIVALENT, 49 ms] 77.01/22.84 (6) QTRS 77.01/22.84 (7) QTRSRRRProof [EQUIVALENT, 27 ms] 77.01/22.84 (8) QTRS 77.01/22.84 (9) QTRSRRRProof [EQUIVALENT, 17 ms] 77.01/22.84 (10) QTRS 77.01/22.84 (11) QTRSRRRProof [EQUIVALENT, 7 ms] 77.01/22.84 (12) QTRS 77.01/22.84 (13) QTRSRRRProof [EQUIVALENT, 14 ms] 77.01/22.84 (14) QTRS 77.01/22.84 (15) QTRSRRRProof [EQUIVALENT, 21 ms] 77.01/22.84 (16) QTRS 77.01/22.84 (17) DependencyPairsProof [EQUIVALENT, 0 ms] 77.01/22.84 (18) QDP 77.01/22.84 (19) DependencyGraphProof [EQUIVALENT, 0 ms] 77.01/22.84 (20) AND 77.01/22.84 (21) QDP 77.01/22.84 (22) UsableRulesProof [EQUIVALENT, 0 ms] 77.01/22.84 (23) QDP 77.01/22.84 (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] 77.01/22.84 (25) YES 77.01/22.84 (26) QDP 77.01/22.84 (27) UsableRulesProof [EQUIVALENT, 0 ms] 77.01/22.84 (28) QDP 77.01/22.84 (29) QDPSizeChangeProof [EQUIVALENT, 0 ms] 77.01/22.84 (30) YES 77.01/22.84 (31) QDP 77.01/22.85 (32) UsableRulesProof [EQUIVALENT, 0 ms] 77.01/22.85 (33) QDP 77.01/22.85 (34) TransformationProof [EQUIVALENT, 0 ms] 77.01/22.85 (35) QDP 77.01/22.85 (36) DependencyGraphProof [EQUIVALENT, 0 ms] 77.01/22.85 (37) QDP 77.01/22.85 (38) QDPOrderProof [EQUIVALENT, 20 ms] 77.01/22.85 (39) QDP 77.01/22.85 (40) DependencyGraphProof [EQUIVALENT, 0 ms] 77.01/22.85 (41) QDP 77.01/22.85 (42) QDPOrderProof [EQUIVALENT, 3 ms] 77.01/22.85 (43) QDP 77.01/22.85 (44) QDPOrderProof [EQUIVALENT, 9 ms] 77.01/22.85 (45) QDP 77.01/22.85 (46) QDPOrderProof [EQUIVALENT, 1382 ms] 77.01/22.85 (47) QDP 77.01/22.85 (48) PisEmptyProof [EQUIVALENT, 0 ms] 77.01/22.85 (49) YES 77.01/22.85 77.01/22.85 77.01/22.85 ---------------------------------------- 77.01/22.85 77.01/22.85 (0) 77.01/22.85 Obligation: 77.01/22.85 Term rewrite system R: 77.01/22.85 The TRS R consists of the following rules: 77.01/22.85 77.01/22.85 a__zeros -> cons(0, zeros) 77.01/22.85 a__and(tt, X) -> mark(X) 77.01/22.85 a__length(nil) -> 0 77.01/22.85 a__length(cons(N, L)) -> s(a__length(mark(L))) 77.01/22.85 mark(zeros) -> a__zeros 77.01/22.85 mark(and(X1, X2)) -> a__and(mark(X1), X2) 77.01/22.85 mark(length(X)) -> a__length(mark(X)) 77.01/22.85 mark(cons(X1, X2)) -> cons(mark(X1), X2) 77.01/22.85 mark(0) -> 0 77.01/22.85 mark(tt) -> tt 77.01/22.85 mark(nil) -> nil 77.01/22.85 mark(s(X)) -> s(mark(X)) 77.01/22.85 a__zeros -> zeros 77.01/22.85 a__and(X1, X2) -> and(X1, X2) 77.01/22.85 a__length(X) -> length(X) 77.01/22.85 77.01/22.85 77.01/22.85 77.01/22.85 Outermost Strategy. 77.01/22.85 77.01/22.85 ---------------------------------------- 77.01/22.85 77.01/22.85 (1) Raffelsieper-Zantema-Transformation (SOUND) 77.01/22.85 We applied the Raffelsieper-Zantema transformation to transform the outermost TRS to a standard TRS. 77.01/22.85 ---------------------------------------- 77.01/22.85 77.01/22.85 (2) 77.01/22.85 Obligation: 77.01/22.85 Q restricted rewrite system: 77.01/22.85 The TRS R consists of the following rules: 77.01/22.85 77.01/22.85 down(a__zeros) -> up(cons(0, zeros)) 77.01/22.85 down(a__and(tt, X)) -> up(mark(X)) 77.01/22.85 down(a__length(nil)) -> up(0)
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