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TRS Standard pair #516963656
details
property
value
status
complete
benchmark
Ex2_Luc03b_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n058.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.269432067871 seconds
cpu usage
0.179034463
max memory
6017024.0
stage attributes
key
value
output-size
19847
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S X:S X1:S X2:S Y:S Z:S) (RULES a__add(0,X:S) -> mark(X:S) a__add(s(X:S),Y:S) -> s(add(X:S,Y:S)) a__add(X1:S,X2:S) -> add(X1:S,X2:S) a__from(X:S) -> cons(mark(X:S),from(s(X:S))) a__from(X:S) -> from(X:S) a__fst(0,Z:S) -> nil a__fst(s(X:S),cons(Y:S,Z:S)) -> cons(mark(Y:S),fst(X:S,Z:S)) a__fst(X1:S,X2:S) -> fst(X1:S,X2:S) a__len(cons(X:S,Z:S)) -> s(len(Z:S)) a__len(nil) -> 0 a__len(X:S) -> len(X:S) mark(0) -> 0 mark(add(X1:S,X2:S)) -> a__add(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(fst(X1:S,X2:S)) -> a__fst(mark(X1:S),mark(X2:S)) mark(len(X:S)) -> a__len(mark(X:S)) mark(nil) -> nil mark(s(X:S)) -> s(X:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: A__ADD(0,X:S) -> MARK(X:S) A__FROM(X:S) -> MARK(X:S) A__FST(s(X:S),cons(Y:S,Z:S)) -> MARK(Y:S) MARK(add(X1:S,X2:S)) -> A__ADD(mark(X1:S),mark(X2:S)) MARK(add(X1:S,X2:S)) -> MARK(X1:S) MARK(add(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(fst(X1:S,X2:S)) -> A__FST(mark(X1:S),mark(X2:S)) MARK(fst(X1:S,X2:S)) -> MARK(X1:S) MARK(fst(X1:S,X2:S)) -> MARK(X2:S) MARK(len(X:S)) -> A__LEN(mark(X:S)) MARK(len(X:S)) -> MARK(X:S) -> Rules: a__add(0,X:S) -> mark(X:S) a__add(s(X:S),Y:S) -> s(add(X:S,Y:S)) a__add(X1:S,X2:S) -> add(X1:S,X2:S) a__from(X:S) -> cons(mark(X:S),from(s(X:S))) a__from(X:S) -> from(X:S) a__fst(0,Z:S) -> nil a__fst(s(X:S),cons(Y:S,Z:S)) -> cons(mark(Y:S),fst(X:S,Z:S)) a__fst(X1:S,X2:S) -> fst(X1:S,X2:S) a__len(cons(X:S,Z:S)) -> s(len(Z:S)) a__len(nil) -> 0 a__len(X:S) -> len(X:S) mark(0) -> 0 mark(add(X1:S,X2:S)) -> a__add(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(fst(X1:S,X2:S)) -> a__fst(mark(X1:S),mark(X2:S)) mark(len(X:S)) -> a__len(mark(X:S)) mark(nil) -> nil mark(s(X:S)) -> s(X:S) Problem 1: SCC Processor: -> Pairs: A__ADD(0,X:S) -> MARK(X:S) A__FROM(X:S) -> MARK(X:S) A__FST(s(X:S),cons(Y:S,Z:S)) -> MARK(Y:S) MARK(add(X1:S,X2:S)) -> A__ADD(mark(X1:S),mark(X2:S)) MARK(add(X1:S,X2:S)) -> MARK(X1:S) MARK(add(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(fst(X1:S,X2:S)) -> A__FST(mark(X1:S),mark(X2:S)) MARK(fst(X1:S,X2:S)) -> MARK(X1:S) MARK(fst(X1:S,X2:S)) -> MARK(X2:S) MARK(len(X:S)) -> A__LEN(mark(X:S)) MARK(len(X:S)) -> MARK(X:S) -> Rules: a__add(0,X:S) -> mark(X:S) a__add(s(X:S),Y:S) -> s(add(X:S,Y:S)) a__add(X1:S,X2:S) -> add(X1:S,X2:S) a__from(X:S) -> cons(mark(X:S),from(s(X:S))) a__from(X:S) -> from(X:S) a__fst(0,Z:S) -> nil a__fst(s(X:S),cons(Y:S,Z:S)) -> cons(mark(Y:S),fst(X:S,Z:S)) a__fst(X1:S,X2:S) -> fst(X1:S,X2:S) a__len(cons(X:S,Z:S)) -> s(len(Z:S))
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