Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Contextsensitive pair #487092606
details
property
value
status
complete
benchmark
MYNAT_complete.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
15.6174 seconds
cpu usage
14.2575
user time
12.3443
system time
1.91319
max virtual memory
739680.0
max residence set size
48928.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR M N V1 V2 X) (STRATEGY CONTEXTSENSITIVE (U11 1) (U12 1) (U13 1) (U21 1) (U22 1) (U31 1) (U32 1) (U33 1) (U41 1) (U51 1) (U61 1) (U71 1) (and 1) (isNat) (isNatKind) (plus 1 2) (x 1 2) (0) (s 1) (tt) ) (RULES U11(tt,V1,V2) -> U12(isNat(V1),V2) U12(tt,V2) -> U13(isNat(V2)) U13(tt) -> tt U21(tt,V1) -> U22(isNat(V1)) U22(tt) -> tt U31(tt,V1,V2) -> U32(isNat(V1),V2) U32(tt,V2) -> U33(isNat(V2)) U33(tt) -> tt U41(tt,N) -> N U51(tt,M,N) -> s(plus(N,M)) U61(tt) -> 0 U71(tt,M,N) -> plus(x(N,M),N) and(tt,X) -> X isNat(plus(V1,V2)) -> U11(and(isNatKind(V1),isNatKind(V2)),V1,V2) isNat(x(V1,V2)) -> U31(and(isNatKind(V1),isNatKind(V2)),V1,V2) isNat(0) -> tt isNat(s(V1)) -> U21(isNatKind(V1),V1) isNatKind(plus(V1,V2)) -> and(isNatKind(V1),isNatKind(V2)) isNatKind(x(V1,V2)) -> and(isNatKind(V1),isNatKind(V2)) isNatKind(0) -> tt isNatKind(s(V1)) -> isNatKind(V1) plus(N,0) -> U41(and(isNat(N),isNatKind(N)),N) plus(N,s(M)) -> U51(and(and(isNat(M),isNatKind(M)),and(isNat(N),isNatKind(N))),M,N) x(N,0) -> U61(and(isNat(N),isNatKind(N))) x(N,s(M)) -> U71(and(and(isNat(M),isNatKind(M)),and(isNat(N),isNatKind(N))),M,N) ) Problem 1: Dependency Pairs Processor: -> Pairs: U11#(tt,V1,V2) -> U12#(isNat(V1),V2) U11#(tt,V1,V2) -> ISNAT(V1) U12#(tt,V2) -> U13#(isNat(V2)) U12#(tt,V2) -> ISNAT(V2) U21#(tt,V1) -> U22#(isNat(V1)) U21#(tt,V1) -> ISNAT(V1) U31#(tt,V1,V2) -> U32#(isNat(V1),V2) U31#(tt,V1,V2) -> ISNAT(V1) U32#(tt,V2) -> U33#(isNat(V2)) U32#(tt,V2) -> ISNAT(V2) U41#(tt,N) -> N U51#(tt,M,N) -> PLUS(N,M) U51#(tt,M,N) -> M U51#(tt,M,N) -> N U71#(tt,M,N) -> PLUS(x(N,M),N) U71#(tt,M,N) -> X(N,M) U71#(tt,M,N) -> M U71#(tt,M,N) -> N AND(tt,X) -> X ISNAT(plus(V1,V2)) -> U11#(and(isNatKind(V1),isNatKind(V2)),V1,V2) ISNAT(plus(V1,V2)) -> AND(isNatKind(V1),isNatKind(V2)) ISNAT(plus(V1,V2)) -> ISNATKIND(V1) ISNAT(x(V1,V2)) -> U31#(and(isNatKind(V1),isNatKind(V2)),V1,V2) ISNAT(x(V1,V2)) -> AND(isNatKind(V1),isNatKind(V2)) ISNAT(x(V1,V2)) -> ISNATKIND(V1) ISNAT(s(V1)) -> U21#(isNatKind(V1),V1) ISNAT(s(V1)) -> ISNATKIND(V1) ISNATKIND(plus(V1,V2)) -> AND(isNatKind(V1),isNatKind(V2)) ISNATKIND(plus(V1,V2)) -> ISNATKIND(V1) ISNATKIND(x(V1,V2)) -> AND(isNatKind(V1),isNatKind(V2)) ISNATKIND(x(V1,V2)) -> ISNATKIND(V1) ISNATKIND(s(V1)) -> ISNATKIND(V1) PLUS(N,0) -> U41#(and(isNat(N),isNatKind(N)),N) PLUS(N,0) -> AND(isNat(N),isNatKind(N)) PLUS(N,0) -> ISNAT(N) PLUS(N,s(M)) -> U51#(and(and(isNat(M),isNatKind(M)),and(isNat(N),isNatKind(N))),M,N) PLUS(N,s(M)) -> AND(and(isNat(M),isNatKind(M)),and(isNat(N),isNatKind(N))) PLUS(N,s(M)) -> AND(isNat(M),isNatKind(M)) PLUS(N,s(M)) -> ISNAT(M) X(N,0) -> U61#(and(isNat(N),isNatKind(N))) X(N,0) -> AND(isNat(N),isNatKind(N))
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Contextsensitive