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TRS Innermost pair #487093258
details
property
value
status
complete
benchmark
MYNAT_nosorts_noand_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
66.3793 seconds
cpu usage
62.672
user time
54.7444
system time
7.92763
max virtual memory
815272.0
max residence set size
19352.0
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 X3:S) (RULES a__U11(tt,M:S,N:S) -> a__U12(tt,M:S,N:S) a__U11(X1:S,X2:S,X3:S) -> U11(X1:S,X2:S,X3:S) a__U12(tt,M:S,N:S) -> s(a__plus(mark(N:S),mark(M:S))) a__U12(X1:S,X2:S,X3:S) -> U12(X1:S,X2:S,X3:S) a__U21(tt,M:S,N:S) -> a__U22(tt,M:S,N:S) a__U21(X1:S,X2:S,X3:S) -> U21(X1:S,X2:S,X3:S) a__U22(tt,M:S,N:S) -> a__plus(a__x(mark(N:S),mark(M:S)),mark(N:S)) a__U22(X1:S,X2:S,X3:S) -> U22(X1:S,X2:S,X3:S) a__plus(N:S,0) -> mark(N:S) a__plus(N:S,s(M:S)) -> a__U11(tt,M:S,N: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__U21(tt,M:S,N:S) a__x(X1:S,X2:S) -> x(X1:S,X2:S) mark(0) -> 0 mark(U11(X1:S,X2:S,X3:S)) -> a__U11(mark(X1:S),X2:S,X3:S) mark(U12(X1:S,X2:S,X3:S)) -> a__U12(mark(X1:S),X2:S,X3:S) mark(U21(X1:S,X2:S,X3:S)) -> a__U21(mark(X1:S),X2:S,X3:S) mark(U22(X1:S,X2:S,X3:S)) -> a__U22(mark(X1:S),X2:S,X3: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__U11(tt,M:S,N:S) -> A__U12(tt,M:S,N:S) A__U12(tt,M:S,N:S) -> A__PLUS(mark(N:S),mark(M:S)) A__U12(tt,M:S,N:S) -> MARK(M:S) A__U12(tt,M:S,N:S) -> MARK(N:S) A__U21(tt,M:S,N:S) -> A__U22(tt,M:S,N:S) A__U22(tt,M:S,N:S) -> A__PLUS(a__x(mark(N:S),mark(M:S)),mark(N:S)) A__U22(tt,M:S,N:S) -> A__X(mark(N:S),mark(M:S)) A__U22(tt,M:S,N:S) -> MARK(M:S) A__U22(tt,M:S,N:S) -> MARK(N:S) A__PLUS(N:S,0) -> MARK(N:S) A__PLUS(N:S,s(M:S)) -> A__U11(tt,M:S,N:S) A__X(N:S,s(M:S)) -> A__U21(tt,M:S,N:S) MARK(U11(X1:S,X2:S,X3:S)) -> A__U11(mark(X1:S),X2:S,X3:S) MARK(U11(X1:S,X2:S,X3:S)) -> MARK(X1:S) MARK(U12(X1:S,X2:S,X3:S)) -> A__U12(mark(X1:S),X2:S,X3:S) MARK(U12(X1:S,X2:S,X3:S)) -> MARK(X1:S) MARK(U21(X1:S,X2:S,X3:S)) -> A__U21(mark(X1:S),X2:S,X3:S) MARK(U21(X1:S,X2:S,X3:S)) -> MARK(X1:S) MARK(U22(X1:S,X2:S,X3:S)) -> A__U22(mark(X1:S),X2:S,X3:S) MARK(U22(X1:S,X2:S,X3: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__U11(tt,M:S,N:S) -> a__U12(tt,M:S,N:S) a__U11(X1:S,X2:S,X3:S) -> U11(X1:S,X2:S,X3:S) a__U12(tt,M:S,N:S) -> s(a__plus(mark(N:S),mark(M:S))) a__U12(X1:S,X2:S,X3:S) -> U12(X1:S,X2:S,X3:S) a__U21(tt,M:S,N:S) -> a__U22(tt,M:S,N:S) a__U21(X1:S,X2:S,X3:S) -> U21(X1:S,X2:S,X3:S) a__U22(tt,M:S,N:S) -> a__plus(a__x(mark(N:S),mark(M:S)),mark(N:S)) a__U22(X1:S,X2:S,X3:S) -> U22(X1:S,X2:S,X3:S) a__plus(N:S,0) -> mark(N:S) a__plus(N:S,s(M:S)) -> a__U11(tt,M:S,N: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__U21(tt,M:S,N:S) a__x(X1:S,X2:S) -> x(X1:S,X2:S) mark(0) -> 0 mark(U11(X1:S,X2:S,X3:S)) -> a__U11(mark(X1:S),X2:S,X3:S) mark(U12(X1:S,X2:S,X3:S)) -> a__U12(mark(X1:S),X2:S,X3:S) mark(U21(X1:S,X2:S,X3:S)) -> a__U21(mark(X1:S),X2:S,X3:S) mark(U22(X1:S,X2:S,X3:S)) -> a__U22(mark(X1:S),X2:S,X3: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__U11(tt,M:S,N:S) -> A__U12(tt,M:S,N:S) A__U12(tt,M:S,N:S) -> A__PLUS(mark(N:S),mark(M:S)) A__U12(tt,M:S,N:S) -> MARK(M:S) A__U12(tt,M:S,N:S) -> MARK(N:S) A__U21(tt,M:S,N:S) -> A__U22(tt,M:S,N:S) A__U22(tt,M:S,N:S) -> A__PLUS(a__x(mark(N:S),mark(M:S)),mark(N:S)) A__U22(tt,M:S,N:S) -> A__X(mark(N:S),mark(M:S)) A__U22(tt,M:S,N:S) -> MARK(M:S)
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