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TRS Conte Sensi 17651 pair #381733335
details
property
value
status
complete
benchmark
Ex4_Zan97.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n084.star.cs.uiowa.edu
space
CSR_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0189738273621 seconds
cpu usage
0.015805032
max memory
1740800.0
stage attributes
key
value
output-size
2898
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 (f 1) (g 1) (sel 1 2) (0) (cons 1) (s 1) ) (RULES f(X) -> cons(X,f(g(X))) g(0) -> s(0) g(s(X)) -> s(s(g(X))) sel(0,cons(X,Y)) -> X sel(s(X),cons(Y,Z)) -> sel(X,Z) ) Problem 1: Innermost Equivalent Processor: -> Rules: f(X) -> cons(X,f(g(X))) g(0) -> s(0) g(s(X)) -> s(s(g(X))) sel(0,cons(X,Y)) -> X sel(s(X),cons(Y,Z)) -> sel(X,Z) -> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination. Problem 1: Dependency Pairs Processor: -> Pairs: G(s(X)) -> G(X) SEL(s(X),cons(Y,Z)) -> SEL(X,Z) SEL(s(X),cons(Y,Z)) -> Z -> Rules: f(X) -> cons(X,f(g(X))) g(0) -> s(0) g(s(X)) -> s(s(g(X))) sel(0,cons(X,Y)) -> X sel(s(X),cons(Y,Z)) -> sel(X,Z) -> Unhiding Rules: f(g(X)) -> F(g(X)) f(g(X)) -> G(X) Problem 1: SCC Processor: -> Pairs: G(s(X)) -> G(X) SEL(s(X),cons(Y,Z)) -> SEL(X,Z) SEL(s(X),cons(Y,Z)) -> Z -> Rules: f(X) -> cons(X,f(g(X))) g(0) -> s(0) g(s(X)) -> s(s(g(X))) sel(0,cons(X,Y)) -> X sel(s(X),cons(Y,Z)) -> sel(X,Z) -> Unhiding rules: f(g(X)) -> F(g(X)) f(g(X)) -> G(X) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: G(s(X)) -> G(X) ->->-> Rules: f(X) -> cons(X,f(g(X))) g(0) -> s(0) g(s(X)) -> s(s(g(X))) sel(0,cons(X,Y)) -> X sel(s(X),cons(Y,Z)) -> sel(X,Z) ->->-> Unhiding rules: Empty ->->Cycle: ->->-> Pairs: SEL(s(X),cons(Y,Z)) -> SEL(X,Z) ->->-> Rules: f(X) -> cons(X,f(g(X))) g(0) -> s(0) g(s(X)) -> s(s(g(X))) sel(0,cons(X,Y)) -> X sel(s(X),cons(Y,Z)) -> sel(X,Z) ->->-> Unhiding rules: Empty The problem is decomposed in 2 subproblems. Problem 1.1:
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