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TRS Innermost pair #487093284
details
property
value
status
complete
benchmark
ExIntrod_GM01_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n141.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
4.35143 seconds
cpu usage
3.71038
user time
2.67778
system time
1.0326
max virtual memory
707344.0
max residence set size
17040.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S L:S X:S X1:S X2:S) (RULES active(adx(cons(X:S,L:S))) -> mark(incr(cons(X:S,adx(L:S)))) active(adx(nil)) -> mark(nil) active(head(cons(X:S,L:S))) -> mark(X:S) active(incr(cons(X:S,L:S))) -> mark(cons(s(X:S),incr(L:S))) active(incr(nil)) -> mark(nil) active(tail(cons(X:S,L:S))) -> mark(L:S) active(nats) -> mark(adx(zeros)) active(zeros) -> mark(cons(0,zeros)) adx(active(X:S)) -> adx(X:S) adx(mark(X:S)) -> adx(X:S) cons(active(X1:S),X2:S) -> cons(X1:S,X2:S) cons(mark(X1:S),X2:S) -> cons(X1:S,X2:S) cons(X1:S,active(X2:S)) -> cons(X1:S,X2:S) cons(X1:S,mark(X2:S)) -> cons(X1:S,X2:S) head(active(X:S)) -> head(X:S) head(mark(X:S)) -> head(X:S) incr(active(X:S)) -> incr(X:S) incr(mark(X:S)) -> incr(X:S) mark(adx(X:S)) -> active(adx(mark(X:S))) mark(cons(X1:S,X2:S)) -> active(cons(mark(X1:S),X2:S)) mark(head(X:S)) -> active(head(mark(X:S))) mark(incr(X:S)) -> active(incr(mark(X:S))) mark(s(X:S)) -> active(s(mark(X:S))) mark(tail(X:S)) -> active(tail(mark(X:S))) mark(0) -> active(0) mark(nats) -> active(nats) mark(nil) -> active(nil) mark(zeros) -> active(zeros) s(active(X:S)) -> s(X:S) s(mark(X:S)) -> s(X:S) tail(active(X:S)) -> tail(X:S) tail(mark(X:S)) -> tail(X:S) ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVE(adx(cons(X:S,L:S))) -> ADX(L:S) ACTIVE(adx(cons(X:S,L:S))) -> CONS(X:S,adx(L:S)) ACTIVE(adx(cons(X:S,L:S))) -> INCR(cons(X:S,adx(L:S))) ACTIVE(adx(cons(X:S,L:S))) -> MARK(incr(cons(X:S,adx(L:S)))) ACTIVE(adx(nil)) -> MARK(nil) ACTIVE(head(cons(X:S,L:S))) -> MARK(X:S) ACTIVE(incr(cons(X:S,L:S))) -> CONS(s(X:S),incr(L:S)) ACTIVE(incr(cons(X:S,L:S))) -> INCR(L:S) ACTIVE(incr(cons(X:S,L:S))) -> MARK(cons(s(X:S),incr(L:S))) ACTIVE(incr(cons(X:S,L:S))) -> S(X:S) ACTIVE(incr(nil)) -> MARK(nil) ACTIVE(tail(cons(X:S,L:S))) -> MARK(L:S) ACTIVE(nats) -> MARK(adx(zeros)) ACTIVE(zeros) -> MARK(cons(0,zeros)) ADX(active(X:S)) -> ADX(X:S) ADX(mark(X:S)) -> ADX(X:S) CONS(active(X1:S),X2:S) -> CONS(X1:S,X2:S) CONS(mark(X1:S),X2:S) -> CONS(X1:S,X2:S) CONS(X1:S,active(X2:S)) -> CONS(X1:S,X2:S) CONS(X1:S,mark(X2:S)) -> CONS(X1:S,X2:S) HEAD(active(X:S)) -> HEAD(X:S) HEAD(mark(X:S)) -> HEAD(X:S) INCR(active(X:S)) -> INCR(X:S) INCR(mark(X:S)) -> INCR(X:S) MARK(adx(X:S)) -> ACTIVE(adx(mark(X:S))) MARK(adx(X:S)) -> ADX(mark(X:S)) MARK(adx(X:S)) -> MARK(X:S) MARK(cons(X1:S,X2:S)) -> ACTIVE(cons(mark(X1:S),X2:S)) MARK(cons(X1:S,X2:S)) -> CONS(mark(X1:S),X2:S) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(head(X:S)) -> ACTIVE(head(mark(X:S))) MARK(head(X:S)) -> HEAD(mark(X:S)) MARK(head(X:S)) -> MARK(X:S) MARK(incr(X:S)) -> ACTIVE(incr(mark(X:S))) MARK(incr(X:S)) -> INCR(mark(X:S)) MARK(incr(X:S)) -> MARK(X: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)) MARK(tail(X:S)) -> ACTIVE(tail(mark(X:S))) MARK(tail(X:S)) -> MARK(X:S) MARK(tail(X:S)) -> TAIL(mark(X:S)) MARK(nats) -> ACTIVE(nats) MARK(zeros) -> ACTIVE(zeros) S(active(X:S)) -> S(X:S) S(mark(X:S)) -> S(X:S) TAIL(active(X:S)) -> TAIL(X:S) TAIL(mark(X:S)) -> TAIL(X:S) -> Rules: active(adx(cons(X:S,L:S))) -> mark(incr(cons(X:S,adx(L:S)))) active(adx(nil)) -> mark(nil) active(head(cons(X:S,L:S))) -> mark(X:S) active(incr(cons(X:S,L:S))) -> mark(cons(s(X:S),incr(L:S))) active(incr(nil)) -> mark(nil) active(tail(cons(X:S,L:S))) -> mark(L:S)
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