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TRS Innermost pair #487093370
details
property
value
status
complete
benchmark
MYNAT_nosorts_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n150.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
39.7803 seconds
cpu usage
38.2473
user time
31.6231
system time
6.62419
max virtual memory
715744.0
max residence set size
12688.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S M:S N:S X:S X1:S X2:S) (RULES a__and(tt,X:S) -> mark(X:S) a__and(X1:S,X2:S) -> and(X1:S,X2:S) a__plus(N:S,0) -> mark(N:S) a__plus(N:S,s(M:S)) -> s(a__plus(mark(N:S),mark(M:S))) a__plus(X1:S,X2:S) -> plus(X1:S,X2:S) a__x(N:S,0) -> 0 a__x(N:S,s(M:S)) -> a__plus(a__x(mark(N:S),mark(M:S)),mark(N:S)) a__x(X1:S,X2:S) -> x(X1:S,X2:S) mark(0) -> 0 mark(and(X1:S,X2:S)) -> a__and(mark(X1:S),X2:S) mark(plus(X1:S,X2:S)) -> a__plus(mark(X1:S),mark(X2:S)) mark(s(X:S)) -> s(mark(X:S)) mark(tt) -> tt mark(x(X1:S,X2:S)) -> a__x(mark(X1:S),mark(X2:S)) ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: A__AND(tt,X:S) -> MARK(X:S) A__PLUS(N:S,0) -> MARK(N:S) A__PLUS(N:S,s(M:S)) -> A__PLUS(mark(N:S),mark(M:S)) A__PLUS(N:S,s(M:S)) -> MARK(M:S) A__PLUS(N:S,s(M:S)) -> MARK(N:S) A__X(N:S,s(M:S)) -> A__PLUS(a__x(mark(N:S),mark(M:S)),mark(N:S)) A__X(N:S,s(M:S)) -> A__X(mark(N:S),mark(M:S)) A__X(N:S,s(M:S)) -> MARK(M:S) A__X(N:S,s(M:S)) -> MARK(N:S) MARK(and(X1:S,X2:S)) -> A__AND(mark(X1:S),X2:S) MARK(and(X1:S,X2:S)) -> MARK(X1:S) MARK(plus(X1:S,X2:S)) -> A__PLUS(mark(X1:S),mark(X2:S)) MARK(plus(X1:S,X2:S)) -> MARK(X1:S) MARK(plus(X1:S,X2:S)) -> MARK(X2:S) MARK(s(X:S)) -> MARK(X:S) MARK(x(X1:S,X2:S)) -> A__X(mark(X1:S),mark(X2:S)) MARK(x(X1:S,X2:S)) -> MARK(X1:S) MARK(x(X1:S,X2:S)) -> MARK(X2:S) -> Rules: a__and(tt,X:S) -> mark(X:S) a__and(X1:S,X2:S) -> and(X1:S,X2:S) a__plus(N:S,0) -> mark(N:S) a__plus(N:S,s(M:S)) -> s(a__plus(mark(N:S),mark(M:S))) a__plus(X1:S,X2:S) -> plus(X1:S,X2:S) a__x(N:S,0) -> 0 a__x(N:S,s(M:S)) -> a__plus(a__x(mark(N:S),mark(M:S)),mark(N:S)) a__x(X1:S,X2:S) -> x(X1:S,X2:S) mark(0) -> 0 mark(and(X1:S,X2:S)) -> a__and(mark(X1:S),X2:S) mark(plus(X1:S,X2:S)) -> a__plus(mark(X1:S),mark(X2:S)) mark(s(X:S)) -> s(mark(X:S)) mark(tt) -> tt mark(x(X1:S,X2:S)) -> a__x(mark(X1:S),mark(X2:S)) Problem 1: SCC Processor: -> Pairs: A__AND(tt,X:S) -> MARK(X:S) A__PLUS(N:S,0) -> MARK(N:S) A__PLUS(N:S,s(M:S)) -> A__PLUS(mark(N:S),mark(M:S)) A__PLUS(N:S,s(M:S)) -> MARK(M:S) A__PLUS(N:S,s(M:S)) -> MARK(N:S) A__X(N:S,s(M:S)) -> A__PLUS(a__x(mark(N:S),mark(M:S)),mark(N:S)) A__X(N:S,s(M:S)) -> A__X(mark(N:S),mark(M:S)) A__X(N:S,s(M:S)) -> MARK(M:S) A__X(N:S,s(M:S)) -> MARK(N:S) MARK(and(X1:S,X2:S)) -> A__AND(mark(X1:S),X2:S) MARK(and(X1:S,X2:S)) -> MARK(X1:S) MARK(plus(X1:S,X2:S)) -> A__PLUS(mark(X1:S),mark(X2:S)) MARK(plus(X1:S,X2:S)) -> MARK(X1:S) MARK(plus(X1:S,X2:S)) -> MARK(X2:S) MARK(s(X:S)) -> MARK(X:S) MARK(x(X1:S,X2:S)) -> A__X(mark(X1:S),mark(X2:S)) MARK(x(X1:S,X2:S)) -> MARK(X1:S) MARK(x(X1:S,X2:S)) -> MARK(X2:S) -> Rules: a__and(tt,X:S) -> mark(X:S) a__and(X1:S,X2:S) -> and(X1:S,X2:S) a__plus(N:S,0) -> mark(N:S) a__plus(N:S,s(M:S)) -> s(a__plus(mark(N:S),mark(M:S))) a__plus(X1:S,X2:S) -> plus(X1:S,X2:S) a__x(N:S,0) -> 0 a__x(N:S,s(M:S)) -> a__plus(a__x(mark(N:S),mark(M:S)),mark(N:S)) a__x(X1:S,X2:S) -> x(X1:S,X2:S) mark(0) -> 0 mark(and(X1:S,X2:S)) -> a__and(mark(X1:S),X2:S) mark(plus(X1:S,X2:S)) -> a__plus(mark(X1:S),mark(X2:S)) mark(s(X:S)) -> s(mark(X:S)) mark(tt) -> tt mark(x(X1:S,X2:S)) -> a__x(mark(X1:S),mark(X2:S)) ->Strongly Connected Components: ->->Cycle:
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