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TRS Standard pair #487070079
details
property
value
status
complete
benchmark
PEANO_nosorts_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n070.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.145235 seconds
cpu usage
0.152604
user time
0.09799
system time
0.054614
max virtual memory
113188.0
max residence set size
9900.0
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) (RULES active(and(tt,X:S)) -> mark(X:S) active(plus(N:S,s(M:S))) -> mark(s(plus(N:S,M:S))) active(plus(N:S,0)) -> mark(N:S) and(active(X1:S),X2:S) -> and(X1:S,X2:S) and(mark(X1:S),X2:S) -> and(X1:S,X2:S) and(X1:S,active(X2:S)) -> and(X1:S,X2:S) and(X1:S,mark(X2:S)) -> and(X1:S,X2:S) mark(and(X1:S,X2:S)) -> active(and(mark(X1:S),X2:S)) mark(plus(X1:S,X2:S)) -> active(plus(mark(X1:S),mark(X2:S))) mark(s(X:S)) -> active(s(mark(X:S))) mark(0) -> active(0) mark(tt) -> active(tt) plus(active(X1:S),X2:S) -> plus(X1:S,X2:S) plus(mark(X1:S),X2:S) -> plus(X1:S,X2:S) plus(X1:S,active(X2:S)) -> plus(X1:S,X2:S) plus(X1:S,mark(X2:S)) -> plus(X1:S,X2:S) s(active(X:S)) -> s(X:S) s(mark(X:S)) -> s(X:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVE(and(tt,X:S)) -> MARK(X:S) ACTIVE(plus(N:S,s(M:S))) -> MARK(s(plus(N:S,M:S))) ACTIVE(plus(N:S,s(M:S))) -> PLUS(N:S,M:S) ACTIVE(plus(N:S,s(M:S))) -> S(plus(N:S,M:S)) ACTIVE(plus(N:S,0)) -> MARK(N:S) AND(active(X1:S),X2:S) -> AND(X1:S,X2:S) AND(mark(X1:S),X2:S) -> AND(X1:S,X2:S) AND(X1:S,active(X2:S)) -> AND(X1:S,X2:S) AND(X1:S,mark(X2:S)) -> AND(X1:S,X2:S) MARK(and(X1:S,X2:S)) -> ACTIVE(and(mark(X1:S),X2:S)) MARK(and(X1:S,X2:S)) -> AND(mark(X1:S),X2:S) MARK(and(X1:S,X2:S)) -> MARK(X1:S) MARK(plus(X1:S,X2:S)) -> ACTIVE(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(plus(X1:S,X2:S)) -> PLUS(mark(X1:S),mark(X2:S)) MARK(s(X:S)) -> ACTIVE(s(mark(X:S))) MARK(s(X:S)) -> MARK(X:S) MARK(s(X:S)) -> S(mark(X:S)) PLUS(active(X1:S),X2:S) -> PLUS(X1:S,X2:S) PLUS(mark(X1:S),X2:S) -> PLUS(X1:S,X2:S) PLUS(X1:S,active(X2:S)) -> PLUS(X1:S,X2:S) PLUS(X1:S,mark(X2:S)) -> PLUS(X1:S,X2:S) S(active(X:S)) -> S(X:S) S(mark(X:S)) -> S(X:S) -> Rules: active(and(tt,X:S)) -> mark(X:S) active(plus(N:S,s(M:S))) -> mark(s(plus(N:S,M:S))) active(plus(N:S,0)) -> mark(N:S) and(active(X1:S),X2:S) -> and(X1:S,X2:S) and(mark(X1:S),X2:S) -> and(X1:S,X2:S) and(X1:S,active(X2:S)) -> and(X1:S,X2:S) and(X1:S,mark(X2:S)) -> and(X1:S,X2:S) mark(and(X1:S,X2:S)) -> active(and(mark(X1:S),X2:S)) mark(plus(X1:S,X2:S)) -> active(plus(mark(X1:S),mark(X2:S))) mark(s(X:S)) -> active(s(mark(X:S))) mark(0) -> active(0) mark(tt) -> active(tt) plus(active(X1:S),X2:S) -> plus(X1:S,X2:S) plus(mark(X1:S),X2:S) -> plus(X1:S,X2:S) plus(X1:S,active(X2:S)) -> plus(X1:S,X2:S) plus(X1:S,mark(X2:S)) -> plus(X1:S,X2:S) s(active(X:S)) -> s(X:S) s(mark(X:S)) -> s(X:S) Problem 1: SCC Processor: -> Pairs: ACTIVE(and(tt,X:S)) -> MARK(X:S) ACTIVE(plus(N:S,s(M:S))) -> MARK(s(plus(N:S,M:S))) ACTIVE(plus(N:S,s(M:S))) -> PLUS(N:S,M:S) ACTIVE(plus(N:S,s(M:S))) -> S(plus(N:S,M:S)) ACTIVE(plus(N:S,0)) -> MARK(N:S) AND(active(X1:S),X2:S) -> AND(X1:S,X2:S) AND(mark(X1:S),X2:S) -> AND(X1:S,X2:S) AND(X1:S,active(X2:S)) -> AND(X1:S,X2:S) AND(X1:S,mark(X2:S)) -> AND(X1:S,X2:S) MARK(and(X1:S,X2:S)) -> ACTIVE(and(mark(X1:S),X2:S)) MARK(and(X1:S,X2:S)) -> AND(mark(X1:S),X2:S) MARK(and(X1:S,X2:S)) -> MARK(X1:S) MARK(plus(X1:S,X2:S)) -> ACTIVE(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(plus(X1:S,X2:S)) -> PLUS(mark(X1:S),mark(X2:S)) MARK(s(X:S)) -> ACTIVE(s(mark(X:S))) MARK(s(X:S)) -> MARK(X:S) MARK(s(X:S)) -> S(mark(X:S)) PLUS(active(X1:S),X2:S) -> PLUS(X1:S,X2:S) PLUS(mark(X1:S),X2:S) -> PLUS(X1:S,X2:S)
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