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TRS_Outermost 2019-04-01 06.45 pair #433314663
details
property
value
status
complete
benchmark
Ex1_GL02a_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n038.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
32.0094 seconds
cpu usage
122.945
user time
119.649
system time
3.29616
max virtual memory
1.9545652E7
max residence set size
5782736.0
stage attributes
key
value
starexec-result
YES
output
122.65/31.92 YES 122.76/31.92 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 122.76/31.92 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 122.76/31.92 122.76/31.92 122.76/31.92 Outermost Termination of the given OTRS could be proven: 122.76/31.92 122.76/31.92 (0) OTRS 122.76/31.92 (1) Raffelsieper-Zantema-Transformation [SOUND, 0 ms] 122.76/31.92 (2) QTRS 122.76/31.92 (3) DependencyPairsProof [EQUIVALENT, 0 ms] 122.76/31.92 (4) QDP 122.76/31.92 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 122.76/31.92 (6) AND 122.76/31.92 (7) QDP 122.76/31.92 (8) UsableRulesProof [EQUIVALENT, 0 ms] 122.76/31.92 (9) QDP 122.76/31.92 (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] 122.76/31.92 (11) YES 122.76/31.92 (12) QDP 122.76/31.92 (13) TransformationProof [EQUIVALENT, 2 ms] 122.76/31.92 (14) QDP 122.76/31.92 (15) DependencyGraphProof [EQUIVALENT, 0 ms] 122.76/31.92 (16) QDP 122.76/31.92 (17) QDPOrderProof [EQUIVALENT, 29 ms] 122.76/31.92 (18) QDP 122.76/31.92 (19) DependencyGraphProof [EQUIVALENT, 0 ms] 122.76/31.92 (20) QDP 122.76/31.92 (21) QDPOrderProof [EQUIVALENT, 6 ms] 122.76/31.92 (22) QDP 122.76/31.92 (23) QDPOrderProof [EQUIVALENT, 6043 ms] 122.76/31.92 (24) QDP 122.76/31.92 (25) PisEmptyProof [EQUIVALENT, 0 ms] 122.76/31.92 (26) YES 122.76/31.92 122.76/31.92 122.76/31.92 ---------------------------------------- 122.76/31.92 122.76/31.92 (0) 122.76/31.92 Obligation: 122.76/31.92 Term rewrite system R: 122.76/31.92 The TRS R consists of the following rules: 122.76/31.92 122.76/31.92 eq(n__0, n__0) -> true 122.76/31.92 eq(n__s(X), n__s(Y)) -> eq(activate(X), activate(Y)) 122.76/31.92 eq(X, Y) -> false 122.76/31.92 inf(X) -> cons(X, n__inf(s(X))) 122.76/31.92 take(0, X) -> nil 122.76/31.92 take(s(X), cons(Y, L)) -> cons(activate(Y), n__take(activate(X), activate(L))) 122.76/31.92 length(nil) -> 0 122.76/31.92 length(cons(X, L)) -> s(n__length(activate(L))) 122.76/31.92 0 -> n__0 122.76/31.92 s(X) -> n__s(X) 122.76/31.92 inf(X) -> n__inf(X) 122.76/31.92 take(X1, X2) -> n__take(X1, X2) 122.76/31.92 length(X) -> n__length(X) 122.76/31.92 activate(n__0) -> 0 122.76/31.92 activate(n__s(X)) -> s(X) 122.76/31.92 activate(n__inf(X)) -> inf(X) 122.76/31.92 activate(n__take(X1, X2)) -> take(X1, X2) 122.76/31.92 activate(n__length(X)) -> length(X) 122.76/31.92 activate(X) -> X 122.76/31.92 122.76/31.92 122.76/31.92 122.76/31.92 Outermost Strategy. 122.76/31.92 122.76/31.92 ---------------------------------------- 122.76/31.92 122.76/31.92 (1) Raffelsieper-Zantema-Transformation (SOUND) 122.76/31.92 We applied the Raffelsieper-Zantema transformation to transform the outermost TRS to a standard TRS. 122.76/31.92 ---------------------------------------- 122.76/31.92 122.76/31.92 (2) 122.76/31.92 Obligation: 122.76/31.92 Q restricted rewrite system: 122.76/31.92 The TRS R consists of the following rules: 122.76/31.92 122.76/31.92 down(eq(n__0, n__0)) -> up(true) 122.76/31.92 down(eq(n__s(X), n__s(Y))) -> up(eq(activate(X), activate(Y))) 122.76/31.92 down(eq(X, Y)) -> up(false) 122.76/31.92 down(inf(X)) -> up(cons(X, n__inf(s(X)))) 122.76/31.92 down(take(0, X)) -> up(nil) 122.76/31.92 down(take(s(X), cons(Y, L))) -> up(cons(activate(Y), n__take(activate(X), activate(L)))) 122.76/31.92 down(length(nil)) -> up(0) 122.76/31.92 down(length(cons(X, L))) -> up(s(n__length(activate(L)))) 122.76/31.92 down(0) -> up(n__0) 122.76/31.92 down(s(X)) -> up(n__s(X)) 122.76/31.92 down(inf(X)) -> up(n__inf(X)) 122.76/31.92 down(take(X1, X2)) -> up(n__take(X1, X2)) 122.76/31.92 down(length(X)) -> up(n__length(X)) 122.76/31.92 down(activate(n__0)) -> up(0) 122.76/31.92 down(activate(n__s(X))) -> up(s(X)) 122.76/31.92 down(activate(n__inf(X))) -> up(inf(X)) 122.76/31.92 down(activate(n__take(X1, X2))) -> up(take(X1, X2)) 122.76/31.92 down(activate(n__length(X))) -> up(length(X)) 122.76/31.92 down(activate(X)) -> up(X) 122.76/31.92 top(up(x)) -> top(down(x)) 122.76/31.92 down(n__s(y2)) -> n__s_flat(down(y2)) 122.76/31.92 down(cons(y5, y6)) -> cons_flat(down(y5), block(y6))
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