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TRS Conte Sensi 17651 pair #381733406
details
property
value
status
complete
benchmark
Ex2_Luc03b.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n029.star.cs.uiowa.edu
space
CSR_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0171589851379 seconds
cpu usage
0.013874776
max memory
1490944.0
stage attributes
key
value
output-size
1487
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 X Y Z) (STRATEGY CONTEXTSENSITIVE (add 1 2) (from 1) (fst 1 2) (len 1) (0) (cons 1) (nil) (s) ) (RULES add(0,X) -> X add(s(X),Y) -> s(add(X,Y)) from(X) -> cons(X,from(s(X))) fst(0,Z) -> nil fst(s(X),cons(Y,Z)) -> cons(Y,fst(X,Z)) len(cons(X,Z)) -> s(len(Z)) len(nil) -> 0 ) Problem 1: Innermost Equivalent Processor: -> Rules: add(0,X) -> X add(s(X),Y) -> s(add(X,Y)) from(X) -> cons(X,from(s(X))) fst(0,Z) -> nil fst(s(X),cons(Y,Z)) -> cons(Y,fst(X,Z)) len(cons(X,Z)) -> s(len(Z)) len(nil) -> 0 -> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination. Problem 1: Dependency Pairs Processor: -> Pairs: Empty -> Rules: add(0,X) -> X add(s(X),Y) -> s(add(X,Y)) from(X) -> cons(X,from(s(X))) fst(0,Z) -> nil fst(s(X),cons(Y,Z)) -> cons(Y,fst(X,Z)) len(cons(X,Z)) -> s(len(Z)) len(nil) -> 0 -> Unhiding Rules: Empty Problem 1: Basic Processor: -> Pairs: Empty -> Rules: add(0,X) -> X add(s(X),Y) -> s(add(X,Y)) from(X) -> cons(X,from(s(X))) fst(0,Z) -> nil fst(s(X),cons(Y,Z)) -> cons(Y,fst(X,Z)) len(cons(X,Z)) -> s(len(Z)) len(nil) -> 0 -> Unhiding rules: Empty -> Result: Set P is empty The problem is finite.
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