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TRS_Contextsensitive 2019-03-21 05.07 pair #429997070
details
property
value
status
complete
benchmark
MYNAT_nokinds-noand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n122.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0206931 seconds
cpu usage
0.02106
user time
0.014187
system time
0.006873
max virtual memory
113132.0
max residence set size
6728.0
stage attributes
key
value
starexec-result
YES
output
0.00/0.01 YES 0.00/0.01 0.00/0.01 Problem 1: 0.00/0.01 0.00/0.01 (VAR M N V1 V2) 0.00/0.01 (STRATEGY CONTEXTSENSITIVE 0.00/0.01 (U11 1) 0.00/0.01 (U12 1) 0.00/0.01 (U21 1) 0.00/0.01 (U31 1) 0.00/0.01 (U32 1) 0.00/0.01 (U41 1) 0.00/0.01 (U51 1) 0.00/0.01 (U52 1) 0.00/0.01 (U61 1) 0.00/0.01 (U71 1) 0.00/0.01 (U72 1) 0.00/0.01 (isNat) 0.00/0.01 (plus 1 2) 0.00/0.01 (x 1 2) 0.00/0.01 (0) 0.00/0.01 (s 1) 0.00/0.01 (tt) 0.00/0.01 ) 0.00/0.01 (RULES 0.00/0.01 U11(tt,V2) -> U12(isNat(V2)) 0.00/0.01 U12(tt) -> tt 0.00/0.01 U21(tt) -> tt 0.00/0.01 U31(tt,V2) -> U32(isNat(V2)) 0.00/0.01 U32(tt) -> tt 0.00/0.01 U41(tt,N) -> N 0.00/0.01 U51(tt,M,N) -> U52(isNat(N),M,N) 0.00/0.01 U52(tt,M,N) -> s(plus(N,M)) 0.00/0.01 U61(tt) -> 0 0.00/0.01 U71(tt,M,N) -> U72(isNat(N),M,N) 0.00/0.01 U72(tt,M,N) -> plus(x(N,M),N) 0.00/0.01 isNat(plus(V1,V2)) -> U11(isNat(V1),V2) 0.00/0.01 isNat(x(V1,V2)) -> U31(isNat(V1),V2) 0.00/0.01 isNat(0) -> tt 0.00/0.01 isNat(s(V1)) -> U21(isNat(V1)) 0.00/0.01 plus(N,0) -> U41(isNat(N),N) 0.00/0.01 plus(N,s(M)) -> U51(isNat(M),M,N) 0.00/0.01 x(N,0) -> U61(isNat(N)) 0.00/0.01 x(N,s(M)) -> U71(isNat(M),M,N) 0.00/0.01 ) 0.00/0.01 0.00/0.01 Problem 1: 0.00/0.01 0.00/0.01 Dependency Pairs Processor: 0.00/0.01 -> Pairs: 0.00/0.01 U11#(tt,V2) -> U12#(isNat(V2)) 0.00/0.01 U11#(tt,V2) -> ISNAT(V2) 0.00/0.01 U31#(tt,V2) -> U32#(isNat(V2)) 0.00/0.01 U31#(tt,V2) -> ISNAT(V2) 0.00/0.01 U41#(tt,N) -> N 0.00/0.01 U51#(tt,M,N) -> U52#(isNat(N),M,N) 0.00/0.01 U51#(tt,M,N) -> ISNAT(N) 0.00/0.01 U52#(tt,M,N) -> PLUS(N,M) 0.00/0.01 U52#(tt,M,N) -> M 0.00/0.01 U52#(tt,M,N) -> N 0.00/0.01 U71#(tt,M,N) -> U72#(isNat(N),M,N) 0.00/0.01 U71#(tt,M,N) -> ISNAT(N) 0.00/0.01 U72#(tt,M,N) -> PLUS(x(N,M),N) 0.00/0.01 U72#(tt,M,N) -> X(N,M) 0.00/0.01 U72#(tt,M,N) -> M 0.00/0.01 U72#(tt,M,N) -> N 0.00/0.01 ISNAT(plus(V1,V2)) -> U11#(isNat(V1),V2) 0.00/0.01 ISNAT(plus(V1,V2)) -> ISNAT(V1) 0.00/0.01 ISNAT(x(V1,V2)) -> U31#(isNat(V1),V2) 0.00/0.01 ISNAT(x(V1,V2)) -> ISNAT(V1) 0.00/0.01 ISNAT(s(V1)) -> U21#(isNat(V1)) 0.00/0.01 ISNAT(s(V1)) -> ISNAT(V1) 0.00/0.01 PLUS(N,0) -> U41#(isNat(N),N) 0.00/0.01 PLUS(N,0) -> ISNAT(N) 0.00/0.01 PLUS(N,s(M)) -> U51#(isNat(M),M,N) 0.00/0.01 PLUS(N,s(M)) -> ISNAT(M) 0.00/0.01 X(N,0) -> U61#(isNat(N)) 0.00/0.01 X(N,0) -> ISNAT(N) 0.00/0.01 X(N,s(M)) -> U71#(isNat(M),M,N) 0.00/0.01 X(N,s(M)) -> ISNAT(M) 0.00/0.01 -> Rules: 0.00/0.01 U11(tt,V2) -> U12(isNat(V2)) 0.00/0.01 U12(tt) -> tt 0.00/0.01 U21(tt) -> tt 0.00/0.01 U31(tt,V2) -> U32(isNat(V2)) 0.00/0.01 U32(tt) -> tt 0.00/0.01 U41(tt,N) -> N 0.00/0.01 U51(tt,M,N) -> U52(isNat(N),M,N) 0.00/0.01 U52(tt,M,N) -> s(plus(N,M)) 0.00/0.01 U61(tt) -> 0 0.00/0.01 U71(tt,M,N) -> U72(isNat(N),M,N) 0.00/0.01 U72(tt,M,N) -> plus(x(N,M),N) 0.00/0.01 isNat(plus(V1,V2)) -> U11(isNat(V1),V2) 0.00/0.01 isNat(x(V1,V2)) -> U31(isNat(V1),V2) 0.00/0.01 isNat(0) -> tt 0.00/0.01 isNat(s(V1)) -> U21(isNat(V1)) 0.00/0.01 plus(N,0) -> U41(isNat(N),N) 0.00/0.01 plus(N,s(M)) -> U51(isNat(M),M,N) 0.00/0.01 x(N,0) -> U61(isNat(N)) 0.00/0.01 x(N,s(M)) -> U71(isNat(M),M,N)
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return to TRS_Contextsensitive 2019-03-21 05.07