Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Standard pair #516962226
details
property
value
status
complete
benchmark
PEANO_complete_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n079.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
1.84827494621 seconds
cpu usage
1.821608085
max memory
1.0620928E7
stage attributes
key
value
output-size
152098
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S M:S N:S V1:S V2:S X:S X1:S X2:S) (RULES 0 -> n__0 U11(tt,V1:S,V2:S) -> U12(isNat(activate(V1:S)),activate(V2:S)) U12(tt,V2:S) -> U13(isNat(activate(V2:S))) U13(tt) -> tt U21(tt,V1:S) -> U22(isNat(activate(V1:S))) U22(tt) -> tt U31(tt,N:S) -> activate(N:S) U41(tt,M:S,N:S) -> s(plus(activate(N:S),activate(M:S))) activate(n__0) -> 0 activate(n__and(X1:S,X2:S)) -> and(X1:S,X2:S) activate(n__isNatKind(X:S)) -> isNatKind(X:S) activate(n__plus(X1:S,X2:S)) -> plus(X1:S,X2:S) activate(n__s(X:S)) -> s(X:S) activate(X:S) -> X:S and(tt,X:S) -> activate(X:S) and(X1:S,X2:S) -> n__and(X1:S,X2:S) isNat(n__0) -> tt isNat(n__plus(V1:S,V2:S)) -> U11(and(isNatKind(activate(V1:S)),n__isNatKind(activate(V2:S))),activate(V1:S),activate(V2:S)) isNat(n__s(V1:S)) -> U21(isNatKind(activate(V1:S)),activate(V1:S)) isNatKind(n__0) -> tt isNatKind(n__plus(V1:S,V2:S)) -> and(isNatKind(activate(V1:S)),n__isNatKind(activate(V2:S))) isNatKind(n__s(V1:S)) -> isNatKind(activate(V1:S)) isNatKind(X:S) -> n__isNatKind(X:S) plus(N:S,0) -> U31(and(isNat(N:S),n__isNatKind(N:S)),N:S) plus(N:S,s(M:S)) -> U41(and(and(isNat(M:S),n__isNatKind(M:S)),n__and(isNat(N:S),n__isNatKind(N:S))),M:S,N:S) plus(X1:S,X2:S) -> n__plus(X1:S,X2:S) s(X:S) -> n__s(X:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: U11#(tt,V1:S,V2:S) -> U12#(isNat(activate(V1:S)),activate(V2:S)) U11#(tt,V1:S,V2:S) -> ACTIVATE(V1:S) U11#(tt,V1:S,V2:S) -> ACTIVATE(V2:S) U11#(tt,V1:S,V2:S) -> ISNAT(activate(V1:S)) U12#(tt,V2:S) -> U13#(isNat(activate(V2:S))) U12#(tt,V2:S) -> ACTIVATE(V2:S) U12#(tt,V2:S) -> ISNAT(activate(V2:S)) U21#(tt,V1:S) -> U22#(isNat(activate(V1:S))) U21#(tt,V1:S) -> ACTIVATE(V1:S) U21#(tt,V1:S) -> ISNAT(activate(V1:S)) U31#(tt,N:S) -> ACTIVATE(N:S) U41#(tt,M:S,N:S) -> ACTIVATE(M:S) U41#(tt,M:S,N:S) -> ACTIVATE(N:S) U41#(tt,M:S,N:S) -> PLUS(activate(N:S),activate(M:S)) U41#(tt,M:S,N:S) -> S(plus(activate(N:S),activate(M:S))) ACTIVATE(n__0) -> 0# ACTIVATE(n__and(X1:S,X2:S)) -> AND(X1:S,X2:S) ACTIVATE(n__isNatKind(X:S)) -> ISNATKIND(X:S) ACTIVATE(n__plus(X1:S,X2:S)) -> PLUS(X1:S,X2:S) ACTIVATE(n__s(X:S)) -> S(X:S) AND(tt,X:S) -> ACTIVATE(X:S) ISNAT(n__plus(V1:S,V2:S)) -> U11#(and(isNatKind(activate(V1:S)),n__isNatKind(activate(V2:S))),activate(V1:S),activate(V2:S)) ISNAT(n__plus(V1:S,V2:S)) -> ACTIVATE(V1:S) ISNAT(n__plus(V1:S,V2:S)) -> ACTIVATE(V2:S) ISNAT(n__plus(V1:S,V2:S)) -> AND(isNatKind(activate(V1:S)),n__isNatKind(activate(V2:S))) ISNAT(n__plus(V1:S,V2:S)) -> ISNATKIND(activate(V1:S)) ISNAT(n__s(V1:S)) -> U21#(isNatKind(activate(V1:S)),activate(V1:S)) ISNAT(n__s(V1:S)) -> ACTIVATE(V1:S) ISNAT(n__s(V1:S)) -> ISNATKIND(activate(V1:S)) ISNATKIND(n__plus(V1:S,V2:S)) -> ACTIVATE(V1:S) ISNATKIND(n__plus(V1:S,V2:S)) -> ACTIVATE(V2:S) ISNATKIND(n__plus(V1:S,V2:S)) -> AND(isNatKind(activate(V1:S)),n__isNatKind(activate(V2:S))) ISNATKIND(n__plus(V1:S,V2:S)) -> ISNATKIND(activate(V1:S)) ISNATKIND(n__s(V1:S)) -> ACTIVATE(V1:S) ISNATKIND(n__s(V1:S)) -> ISNATKIND(activate(V1:S)) PLUS(N:S,0) -> U31#(and(isNat(N:S),n__isNatKind(N:S)),N:S) PLUS(N:S,0) -> AND(isNat(N:S),n__isNatKind(N:S)) PLUS(N:S,0) -> ISNAT(N:S) PLUS(N:S,s(M:S)) -> U41#(and(and(isNat(M:S),n__isNatKind(M:S)),n__and(isNat(N:S),n__isNatKind(N:S))),M:S,N:S) PLUS(N:S,s(M:S)) -> AND(and(isNat(M:S),n__isNatKind(M:S)),n__and(isNat(N:S),n__isNatKind(N:S))) PLUS(N:S,s(M:S)) -> AND(isNat(M:S),n__isNatKind(M:S)) PLUS(N:S,s(M:S)) -> ISNAT(M:S) PLUS(N:S,s(M:S)) -> ISNAT(N:S) -> Rules: 0 -> n__0 U11(tt,V1:S,V2:S) -> U12(isNat(activate(V1:S)),activate(V2:S)) U12(tt,V2:S) -> U13(isNat(activate(V2:S))) U13(tt) -> tt U21(tt,V1:S) -> U22(isNat(activate(V1:S))) U22(tt) -> tt U31(tt,N:S) -> activate(N:S) U41(tt,M:S,N:S) -> s(plus(activate(N:S),activate(M:S))) activate(n__0) -> 0 activate(n__and(X1:S,X2:S)) -> and(X1:S,X2:S) activate(n__isNatKind(X:S)) -> isNatKind(X:S)
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Standard