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TRS Innermost pair #487524168
details
property
value
status
complete
benchmark
Ex3_3_25_Bor03_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n140.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.331994056702 seconds
cpu usage
0.31061771
max memory
6762496.0
stage attributes
key
value
output-size
34715
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 L:S X:S X1:S X2:S XS:S Y:S YS:S) (RULES a__app(cons(X:S,XS:S),YS:S) -> cons(mark(X:S),app(XS:S,YS:S)) a__app(nil,YS:S) -> mark(YS:S) a__app(X1:S,X2:S) -> app(X1:S,X2:S) a__from(X:S) -> cons(mark(X:S),from(s(X:S))) a__from(X:S) -> from(X:S) a__prefix(L:S) -> cons(nil,zWadr(L:S,prefix(L:S))) a__prefix(X:S) -> prefix(X:S) a__zWadr(cons(X:S,XS:S),cons(Y:S,YS:S)) -> cons(a__app(mark(Y:S),cons(mark(X:S),nil)),zWadr(XS:S,YS:S)) a__zWadr(nil,YS:S) -> nil a__zWadr(X1:S,X2:S) -> zWadr(X1:S,X2:S) a__zWadr(XS:S,nil) -> nil mark(app(X1:S,X2:S)) -> a__app(mark(X1:S),mark(X2:S)) mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(from(X:S)) -> a__from(mark(X:S)) mark(nil) -> nil mark(prefix(X:S)) -> a__prefix(mark(X:S)) mark(s(X:S)) -> s(mark(X:S)) mark(zWadr(X1:S,X2:S)) -> a__zWadr(mark(X1:S),mark(X2:S)) ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: A__APP(cons(X:S,XS:S),YS:S) -> MARK(X:S) A__APP(nil,YS:S) -> MARK(YS:S) A__FROM(X:S) -> MARK(X:S) A__ZWADR(cons(X:S,XS:S),cons(Y:S,YS:S)) -> A__APP(mark(Y:S),cons(mark(X:S),nil)) A__ZWADR(cons(X:S,XS:S),cons(Y:S,YS:S)) -> MARK(X:S) A__ZWADR(cons(X:S,XS:S),cons(Y:S,YS:S)) -> MARK(Y:S) MARK(app(X1:S,X2:S)) -> A__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)) -> MARK(X1:S) MARK(from(X:S)) -> A__FROM(mark(X:S)) MARK(from(X:S)) -> MARK(X:S) MARK(prefix(X:S)) -> A__PREFIX(mark(X:S)) MARK(prefix(X:S)) -> MARK(X:S) MARK(s(X:S)) -> MARK(X:S) MARK(zWadr(X1:S,X2:S)) -> A__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) -> Rules: a__app(cons(X:S,XS:S),YS:S) -> cons(mark(X:S),app(XS:S,YS:S)) a__app(nil,YS:S) -> mark(YS:S) a__app(X1:S,X2:S) -> app(X1:S,X2:S) a__from(X:S) -> cons(mark(X:S),from(s(X:S))) a__from(X:S) -> from(X:S) a__prefix(L:S) -> cons(nil,zWadr(L:S,prefix(L:S))) a__prefix(X:S) -> prefix(X:S) a__zWadr(cons(X:S,XS:S),cons(Y:S,YS:S)) -> cons(a__app(mark(Y:S),cons(mark(X:S),nil)),zWadr(XS:S,YS:S)) a__zWadr(nil,YS:S) -> nil a__zWadr(X1:S,X2:S) -> zWadr(X1:S,X2:S) a__zWadr(XS:S,nil) -> nil mark(app(X1:S,X2:S)) -> a__app(mark(X1:S),mark(X2:S)) mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(from(X:S)) -> a__from(mark(X:S)) mark(nil) -> nil mark(prefix(X:S)) -> a__prefix(mark(X:S)) mark(s(X:S)) -> s(mark(X:S)) mark(zWadr(X1:S,X2:S)) -> a__zWadr(mark(X1:S),mark(X2:S)) Problem 1: SCC Processor: -> Pairs: A__APP(cons(X:S,XS:S),YS:S) -> MARK(X:S) A__APP(nil,YS:S) -> MARK(YS:S) A__FROM(X:S) -> MARK(X:S) A__ZWADR(cons(X:S,XS:S),cons(Y:S,YS:S)) -> A__APP(mark(Y:S),cons(mark(X:S),nil)) A__ZWADR(cons(X:S,XS:S),cons(Y:S,YS:S)) -> MARK(X:S) A__ZWADR(cons(X:S,XS:S),cons(Y:S,YS:S)) -> MARK(Y:S) MARK(app(X1:S,X2:S)) -> A__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)) -> MARK(X1:S) MARK(from(X:S)) -> A__FROM(mark(X:S)) MARK(from(X:S)) -> MARK(X:S) MARK(prefix(X:S)) -> A__PREFIX(mark(X:S)) MARK(prefix(X:S)) -> MARK(X:S) MARK(s(X:S)) -> MARK(X:S) MARK(zWadr(X1:S,X2:S)) -> A__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) -> Rules: a__app(cons(X:S,XS:S),YS:S) -> cons(mark(X:S),app(XS:S,YS:S)) a__app(nil,YS:S) -> mark(YS:S)
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