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TRS Innermost pair #487093462
details
property
value
status
complete
benchmark
Ex3_3_25_Bor03_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n139.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.487266 seconds
cpu usage
0.493891
user time
0.404884
system time
0.089007
max virtual memory
113188.0
max residence set size
14428.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S L:S X:S X1:S X2:S XS:S Y:S YS:S) (RULES active(app(cons(X:S,XS:S),YS:S)) -> mark(cons(X:S,app(XS:S,YS:S))) active(app(nil,YS:S)) -> mark(YS:S) active(from(X:S)) -> mark(cons(X:S,from(s(X:S)))) active(prefix(L:S)) -> mark(cons(nil,zWadr(L:S,prefix(L:S)))) active(zWadr(cons(X:S,XS:S),cons(Y:S,YS:S))) -> mark(cons(app(Y:S,cons(X:S,nil)),zWadr(XS:S,YS:S))) active(zWadr(nil,YS:S)) -> mark(nil) active(zWadr(XS:S,nil)) -> mark(nil) app(active(X1:S),X2:S) -> app(X1:S,X2:S) app(mark(X1:S),X2:S) -> app(X1:S,X2:S) app(X1:S,active(X2:S)) -> app(X1:S,X2:S) app(X1:S,mark(X2:S)) -> app(X1:S,X2: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) from(active(X:S)) -> from(X:S) from(mark(X:S)) -> from(X:S) mark(app(X1:S,X2:S)) -> active(app(mark(X1:S),mark(X2:S))) mark(cons(X1:S,X2:S)) -> active(cons(mark(X1:S),X2:S)) mark(from(X:S)) -> active(from(mark(X:S))) mark(prefix(X:S)) -> active(prefix(mark(X:S))) mark(s(X:S)) -> active(s(mark(X:S))) mark(zWadr(X1:S,X2:S)) -> active(zWadr(mark(X1:S),mark(X2:S))) mark(nil) -> active(nil) prefix(active(X:S)) -> prefix(X:S) prefix(mark(X:S)) -> prefix(X:S) s(active(X:S)) -> s(X:S) s(mark(X:S)) -> s(X:S) zWadr(active(X1:S),X2:S) -> zWadr(X1:S,X2:S) zWadr(mark(X1:S),X2:S) -> zWadr(X1:S,X2:S) zWadr(X1:S,active(X2:S)) -> zWadr(X1:S,X2:S) zWadr(X1:S,mark(X2:S)) -> zWadr(X1:S,X2:S) ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVE(app(cons(X:S,XS:S),YS:S)) -> APP(XS:S,YS:S) ACTIVE(app(cons(X:S,XS:S),YS:S)) -> CONS(X:S,app(XS:S,YS:S)) ACTIVE(app(cons(X:S,XS:S),YS:S)) -> MARK(cons(X:S,app(XS:S,YS:S))) ACTIVE(app(nil,YS:S)) -> MARK(YS:S) ACTIVE(from(X:S)) -> CONS(X:S,from(s(X:S))) ACTIVE(from(X:S)) -> FROM(s(X:S)) ACTIVE(from(X:S)) -> MARK(cons(X:S,from(s(X:S)))) ACTIVE(from(X:S)) -> S(X:S) ACTIVE(prefix(L:S)) -> CONS(nil,zWadr(L:S,prefix(L:S))) ACTIVE(prefix(L:S)) -> MARK(cons(nil,zWadr(L:S,prefix(L:S)))) ACTIVE(prefix(L:S)) -> ZWADR(L:S,prefix(L:S)) ACTIVE(zWadr(cons(X:S,XS:S),cons(Y:S,YS:S))) -> APP(Y:S,cons(X:S,nil)) ACTIVE(zWadr(cons(X:S,XS:S),cons(Y:S,YS:S))) -> CONS(app(Y:S,cons(X:S,nil)),zWadr(XS:S,YS:S)) ACTIVE(zWadr(cons(X:S,XS:S),cons(Y:S,YS:S))) -> CONS(X:S,nil) ACTIVE(zWadr(cons(X:S,XS:S),cons(Y:S,YS:S))) -> MARK(cons(app(Y:S,cons(X:S,nil)),zWadr(XS:S,YS:S))) ACTIVE(zWadr(cons(X:S,XS:S),cons(Y:S,YS:S))) -> ZWADR(XS:S,YS:S) ACTIVE(zWadr(nil,YS:S)) -> MARK(nil) ACTIVE(zWadr(XS:S,nil)) -> MARK(nil) APP(active(X1:S),X2:S) -> APP(X1:S,X2:S) APP(mark(X1:S),X2:S) -> APP(X1:S,X2:S) APP(X1:S,active(X2:S)) -> APP(X1:S,X2:S) APP(X1:S,mark(X2:S)) -> APP(X1:S,X2: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) FROM(active(X:S)) -> FROM(X:S) FROM(mark(X:S)) -> FROM(X:S) MARK(app(X1:S,X2:S)) -> ACTIVE(app(mark(X1:S),mark(X2:S))) MARK(app(X1:S,X2:S)) -> APP(mark(X1:S),mark(X2:S)) MARK(app(X1:S,X2:S)) -> MARK(X1:S) MARK(app(X1:S,X2:S)) -> MARK(X2: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(from(X:S)) -> ACTIVE(from(mark(X:S))) MARK(from(X:S)) -> FROM(mark(X:S)) MARK(from(X:S)) -> MARK(X:S) MARK(prefix(X:S)) -> ACTIVE(prefix(mark(X:S))) MARK(prefix(X:S)) -> MARK(X:S) MARK(prefix(X:S)) -> PREFIX(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(zWadr(X1:S,X2:S)) -> ACTIVE(zWadr(mark(X1:S),mark(X2:S))) MARK(zWadr(X1:S,X2:S)) -> MARK(X1:S) MARK(zWadr(X1:S,X2:S)) -> MARK(X2:S) MARK(zWadr(X1:S,X2:S)) -> ZWADR(mark(X1:S),mark(X2:S)) PREFIX(active(X:S)) -> PREFIX(X:S) PREFIX(mark(X:S)) -> PREFIX(X:S) S(active(X:S)) -> S(X:S) S(mark(X:S)) -> S(X:S) ZWADR(active(X1:S),X2:S) -> ZWADR(X1:S,X2:S) ZWADR(mark(X1:S),X2:S) -> ZWADR(X1:S,X2:S) ZWADR(X1:S,active(X2:S)) -> ZWADR(X1:S,X2:S)
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