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TRS Innermost pair #487093164
details
property
value
status
complete
benchmark
ExIntrod_GM01_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n150.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
1.69197 seconds
cpu usage
1.56962
user time
1.12811
system time
0.441502
max virtual memory
696340.0
max residence set size
9812.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S L:S X:S X1:S X2:S) (RULES a__adx(cons(X:S,L:S)) -> a__incr(cons(mark(X:S),adx(L:S))) a__adx(nil) -> nil a__adx(X:S) -> adx(X:S) a__head(cons(X:S,L:S)) -> mark(X:S) a__head(X:S) -> head(X:S) a__incr(cons(X:S,L:S)) -> cons(s(mark(X:S)),incr(L:S)) a__incr(nil) -> nil a__incr(X:S) -> incr(X:S) a__nats -> a__adx(a__zeros) a__nats -> nats a__tail(cons(X:S,L:S)) -> mark(L:S) a__tail(X:S) -> tail(X:S) a__zeros -> cons(0,zeros) a__zeros -> zeros mark(0) -> 0 mark(adx(X:S)) -> a__adx(mark(X:S)) mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(head(X:S)) -> a__head(mark(X:S)) mark(incr(X:S)) -> a__incr(mark(X:S)) mark(nats) -> a__nats mark(nil) -> nil mark(s(X:S)) -> s(mark(X:S)) mark(tail(X:S)) -> a__tail(mark(X:S)) mark(zeros) -> a__zeros ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: A__ADX(cons(X:S,L:S)) -> A__INCR(cons(mark(X:S),adx(L:S))) A__ADX(cons(X:S,L:S)) -> MARK(X:S) A__HEAD(cons(X:S,L:S)) -> MARK(X:S) A__INCR(cons(X:S,L:S)) -> MARK(X:S) A__NATS -> A__ADX(a__zeros) A__NATS -> A__ZEROS A__TAIL(cons(X:S,L:S)) -> MARK(L:S) MARK(adx(X:S)) -> A__ADX(mark(X:S)) MARK(adx(X:S)) -> MARK(X:S) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(head(X:S)) -> A__HEAD(mark(X:S)) MARK(head(X:S)) -> MARK(X:S) MARK(incr(X:S)) -> A__INCR(mark(X:S)) MARK(incr(X:S)) -> MARK(X:S) MARK(nats) -> A__NATS MARK(s(X:S)) -> MARK(X:S) MARK(tail(X:S)) -> A__TAIL(mark(X:S)) MARK(tail(X:S)) -> MARK(X:S) MARK(zeros) -> A__ZEROS -> Rules: a__adx(cons(X:S,L:S)) -> a__incr(cons(mark(X:S),adx(L:S))) a__adx(nil) -> nil a__adx(X:S) -> adx(X:S) a__head(cons(X:S,L:S)) -> mark(X:S) a__head(X:S) -> head(X:S) a__incr(cons(X:S,L:S)) -> cons(s(mark(X:S)),incr(L:S)) a__incr(nil) -> nil a__incr(X:S) -> incr(X:S) a__nats -> a__adx(a__zeros) a__nats -> nats a__tail(cons(X:S,L:S)) -> mark(L:S) a__tail(X:S) -> tail(X:S) a__zeros -> cons(0,zeros) a__zeros -> zeros mark(0) -> 0 mark(adx(X:S)) -> a__adx(mark(X:S)) mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(head(X:S)) -> a__head(mark(X:S)) mark(incr(X:S)) -> a__incr(mark(X:S)) mark(nats) -> a__nats mark(nil) -> nil mark(s(X:S)) -> s(mark(X:S)) mark(tail(X:S)) -> a__tail(mark(X:S)) mark(zeros) -> a__zeros Problem 1: SCC Processor: -> Pairs: A__ADX(cons(X:S,L:S)) -> A__INCR(cons(mark(X:S),adx(L:S))) A__ADX(cons(X:S,L:S)) -> MARK(X:S) A__HEAD(cons(X:S,L:S)) -> MARK(X:S) A__INCR(cons(X:S,L:S)) -> MARK(X:S) A__NATS -> A__ADX(a__zeros) A__NATS -> A__ZEROS A__TAIL(cons(X:S,L:S)) -> MARK(L:S) MARK(adx(X:S)) -> A__ADX(mark(X:S)) MARK(adx(X:S)) -> MARK(X:S) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(head(X:S)) -> A__HEAD(mark(X:S)) MARK(head(X:S)) -> MARK(X:S) MARK(incr(X:S)) -> A__INCR(mark(X:S)) MARK(incr(X:S)) -> MARK(X:S)
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