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TRS Contextsensitive pair #487092650
details
property
value
status
complete
benchmark
MYNAT_nokinds-peanoSimple.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0518789 seconds
cpu usage
0.043547
user time
0.023144
system time
0.020403
max virtual memory
113188.0
max residence set size
5564.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR M N V1 V2 X) (STRATEGY CONTEXTSENSITIVE (U11 1) (U21 1) (and 1) (isNat) (plus 1 2) (0) (s 1) (tt) ) (RULES U11(tt,N) -> N U21(tt,M,N) -> s(plus(N,M)) and(tt,X) -> X isNat(plus(V1,V2)) -> and(isNat(V1),isNat(V2)) isNat(0) -> tt isNat(s(V1)) -> isNat(V1) plus(N,0) -> U11(isNat(N),N) plus(N,s(M)) -> U21(and(isNat(M),isNat(N)),M,N) ) Problem 1: Dependency Pairs Processor: -> Pairs: U11#(tt,N) -> N U21#(tt,M,N) -> PLUS(N,M) U21#(tt,M,N) -> M U21#(tt,M,N) -> N AND(tt,X) -> X ISNAT(plus(V1,V2)) -> AND(isNat(V1),isNat(V2)) ISNAT(plus(V1,V2)) -> ISNAT(V1) ISNAT(s(V1)) -> ISNAT(V1) PLUS(N,0) -> U11#(isNat(N),N) PLUS(N,0) -> ISNAT(N) PLUS(N,s(M)) -> U21#(and(isNat(M),isNat(N)),M,N) PLUS(N,s(M)) -> AND(isNat(M),isNat(N)) PLUS(N,s(M)) -> ISNAT(M) -> Rules: U11(tt,N) -> N U21(tt,M,N) -> s(plus(N,M)) and(tt,X) -> X isNat(plus(V1,V2)) -> and(isNat(V1),isNat(V2)) isNat(0) -> tt isNat(s(V1)) -> isNat(V1) plus(N,0) -> U11(isNat(N),N) plus(N,s(M)) -> U21(and(isNat(M),isNat(N)),M,N) -> Unhiding Rules: isNat(N) -> ISNAT(N) isNat(V2) -> ISNAT(V2) Problem 1: SCC Processor: -> Pairs: U11#(tt,N) -> N U21#(tt,M,N) -> PLUS(N,M) U21#(tt,M,N) -> M U21#(tt,M,N) -> N AND(tt,X) -> X ISNAT(plus(V1,V2)) -> AND(isNat(V1),isNat(V2)) ISNAT(plus(V1,V2)) -> ISNAT(V1) ISNAT(s(V1)) -> ISNAT(V1) PLUS(N,0) -> U11#(isNat(N),N) PLUS(N,0) -> ISNAT(N) PLUS(N,s(M)) -> U21#(and(isNat(M),isNat(N)),M,N) PLUS(N,s(M)) -> AND(isNat(M),isNat(N)) PLUS(N,s(M)) -> ISNAT(M) -> Rules: U11(tt,N) -> N U21(tt,M,N) -> s(plus(N,M)) and(tt,X) -> X isNat(plus(V1,V2)) -> and(isNat(V1),isNat(V2)) isNat(0) -> tt isNat(s(V1)) -> isNat(V1) plus(N,0) -> U11(isNat(N),N) plus(N,s(M)) -> U21(and(isNat(M),isNat(N)),M,N) -> Unhiding rules: isNat(N) -> ISNAT(N) isNat(V2) -> ISNAT(V2) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: AND(tt,X) -> X ISNAT(plus(V1,V2)) -> AND(isNat(V1),isNat(V2)) ISNAT(plus(V1,V2)) -> ISNAT(V1) ISNAT(s(V1)) -> ISNAT(V1) ->->-> Rules: U11(tt,N) -> N U21(tt,M,N) -> s(plus(N,M)) and(tt,X) -> X isNat(plus(V1,V2)) -> and(isNat(V1),isNat(V2)) isNat(0) -> tt isNat(s(V1)) -> isNat(V1) plus(N,0) -> U11(isNat(N),N)
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