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TRS Innermost pair #487093368
details
property
value
status
complete
benchmark
PALINDROME_nokinds_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n139.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.812845 seconds
cpu usage
0.831337
user time
0.702762
system time
0.128575
max virtual memory
708844.0
max residence set size
11504.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S I:S P:S V:S V1:S V2:S X:S X1:S X2:S Y:S Z:S) (RULES a____(__(X:S,Y:S),Z:S) -> a____(mark(X:S),a____(mark(Y:S),mark(Z:S))) a____(nil,X:S) -> mark(X:S) a____(X:S,nil) -> mark(X:S) a____(X1:S,X2:S) -> __(X1:S,X2:S) a__and(tt,X:S) -> mark(X:S) a__and(X1:S,X2:S) -> and(X1:S,X2:S) a__isList(__(V1:S,V2:S)) -> a__and(a__isList(V1:S),isList(V2:S)) a__isList(nil) -> tt a__isList(V:S) -> a__isNeList(V:S) a__isList(X:S) -> isList(X:S) a__isNeList(__(V1:S,V2:S)) -> a__and(a__isList(V1:S),isNeList(V2:S)) a__isNeList(__(V1:S,V2:S)) -> a__and(a__isNeList(V1:S),isList(V2:S)) a__isNeList(V:S) -> a__isQid(V:S) a__isNeList(X:S) -> isNeList(X:S) a__isNePal(__(I:S,__(P:S,I:S))) -> a__and(a__isQid(I:S),isPal(P:S)) a__isNePal(V:S) -> a__isQid(V:S) a__isNePal(X:S) -> isNePal(X:S) a__isPal(nil) -> tt a__isPal(V:S) -> a__isNePal(V:S) a__isPal(X:S) -> isPal(X:S) a__isQid(a) -> tt a__isQid(e) -> tt a__isQid(i) -> tt a__isQid(o) -> tt a__isQid(u) -> tt a__isQid(X:S) -> isQid(X:S) mark(__(X1:S,X2:S)) -> a____(mark(X1:S),mark(X2:S)) mark(a) -> a mark(and(X1:S,X2:S)) -> a__and(mark(X1:S),X2:S) mark(e) -> e mark(i) -> i mark(isList(X:S)) -> a__isList(X:S) mark(isNeList(X:S)) -> a__isNeList(X:S) mark(isNePal(X:S)) -> a__isNePal(X:S) mark(isPal(X:S)) -> a__isPal(X:S) mark(isQid(X:S)) -> a__isQid(X:S) mark(nil) -> nil mark(o) -> o mark(tt) -> tt mark(u) -> u ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: A____(__(X:S,Y:S),Z:S) -> A____(mark(X:S),a____(mark(Y:S),mark(Z:S))) A____(__(X:S,Y:S),Z:S) -> A____(mark(Y:S),mark(Z:S)) A____(__(X:S,Y:S),Z:S) -> MARK(X:S) A____(__(X:S,Y:S),Z:S) -> MARK(Y:S) A____(__(X:S,Y:S),Z:S) -> MARK(Z:S) A____(nil,X:S) -> MARK(X:S) A____(X:S,nil) -> MARK(X:S) A__AND(tt,X:S) -> MARK(X:S) A__ISLIST(__(V1:S,V2:S)) -> A__AND(a__isList(V1:S),isList(V2:S)) A__ISLIST(__(V1:S,V2:S)) -> A__ISLIST(V1:S) A__ISLIST(V:S) -> A__ISNELIST(V:S) A__ISNELIST(__(V1:S,V2:S)) -> A__AND(a__isList(V1:S),isNeList(V2:S)) A__ISNELIST(__(V1:S,V2:S)) -> A__AND(a__isNeList(V1:S),isList(V2:S)) A__ISNELIST(__(V1:S,V2:S)) -> A__ISLIST(V1:S) A__ISNELIST(__(V1:S,V2:S)) -> A__ISNELIST(V1:S) A__ISNELIST(V:S) -> A__ISQID(V:S) A__ISNEPAL(__(I:S,__(P:S,I:S))) -> A__AND(a__isQid(I:S),isPal(P:S)) A__ISNEPAL(__(I:S,__(P:S,I:S))) -> A__ISQID(I:S) A__ISNEPAL(V:S) -> A__ISQID(V:S) A__ISPAL(V:S) -> A__ISNEPAL(V:S) MARK(__(X1:S,X2:S)) -> A____(mark(X1:S),mark(X2:S)) MARK(__(X1:S,X2:S)) -> MARK(X1:S) MARK(__(X1:S,X2:S)) -> MARK(X2:S) MARK(and(X1:S,X2:S)) -> A__AND(mark(X1:S),X2:S) MARK(and(X1:S,X2:S)) -> MARK(X1:S) MARK(isList(X:S)) -> A__ISLIST(X:S) MARK(isNeList(X:S)) -> A__ISNELIST(X:S) MARK(isNePal(X:S)) -> A__ISNEPAL(X:S) MARK(isPal(X:S)) -> A__ISPAL(X:S) MARK(isQid(X:S)) -> A__ISQID(X:S) -> Rules: a____(__(X:S,Y:S),Z:S) -> a____(mark(X:S),a____(mark(Y:S),mark(Z:S))) a____(nil,X:S) -> mark(X:S) a____(X:S,nil) -> mark(X:S) a____(X1:S,X2:S) -> __(X1:S,X2:S) a__and(tt,X:S) -> mark(X:S) a__and(X1:S,X2:S) -> and(X1:S,X2:S) a__isList(__(V1:S,V2:S)) -> a__and(a__isList(V1:S),isList(V2:S)) a__isList(nil) -> tt a__isList(V:S) -> a__isNeList(V:S) a__isList(X:S) -> isList(X:S) a__isNeList(__(V1:S,V2:S)) -> a__and(a__isList(V1:S),isNeList(V2:S)) a__isNeList(__(V1:S,V2:S)) -> a__and(a__isNeList(V1:S),isList(V2:S)) a__isNeList(V:S) -> a__isQid(V:S) a__isNeList(X:S) -> isNeList(X:S) a__isNePal(__(I:S,__(P:S,I:S))) -> a__and(a__isQid(I:S),isPal(P:S)) a__isNePal(V:S) -> a__isQid(V:S)
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