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TRS Standard pair #487071824
details
property
value
status
complete
benchmark
Ex4_Zan97_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n175.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.018628 seconds
cpu usage
0.019092
user time
0.008234
system time
0.010858
max virtual memory
113188.0
max residence set size
4392.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S X:S Y:S Z:S) (RULES activate(n__f(X:S)) -> f(X:S) activate(X:S) -> X:S f(X:S) -> cons(X:S,n__f(g(X:S))) f(X:S) -> n__f(X:S) g(0) -> s(0) g(s(X:S)) -> s(s(g(X:S))) sel(0,cons(X:S,Y:S)) -> X:S sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,activate(Z:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVATE(n__f(X:S)) -> F(X:S) F(X:S) -> G(X:S) G(s(X:S)) -> G(X:S) SEL(s(X:S),cons(Y:S,Z:S)) -> ACTIVATE(Z:S) SEL(s(X:S),cons(Y:S,Z:S)) -> SEL(X:S,activate(Z:S)) -> Rules: activate(n__f(X:S)) -> f(X:S) activate(X:S) -> X:S f(X:S) -> cons(X:S,n__f(g(X:S))) f(X:S) -> n__f(X:S) g(0) -> s(0) g(s(X:S)) -> s(s(g(X:S))) sel(0,cons(X:S,Y:S)) -> X:S sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,activate(Z:S)) Problem 1: SCC Processor: -> Pairs: ACTIVATE(n__f(X:S)) -> F(X:S) F(X:S) -> G(X:S) G(s(X:S)) -> G(X:S) SEL(s(X:S),cons(Y:S,Z:S)) -> ACTIVATE(Z:S) SEL(s(X:S),cons(Y:S,Z:S)) -> SEL(X:S,activate(Z:S)) -> Rules: activate(n__f(X:S)) -> f(X:S) activate(X:S) -> X:S f(X:S) -> cons(X:S,n__f(g(X:S))) f(X:S) -> n__f(X:S) g(0) -> s(0) g(s(X:S)) -> s(s(g(X:S))) sel(0,cons(X:S,Y:S)) -> X:S sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,activate(Z:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: G(s(X:S)) -> G(X:S) ->->-> Rules: activate(n__f(X:S)) -> f(X:S) activate(X:S) -> X:S f(X:S) -> cons(X:S,n__f(g(X:S))) f(X:S) -> n__f(X:S) g(0) -> s(0) g(s(X:S)) -> s(s(g(X:S))) sel(0,cons(X:S,Y:S)) -> X:S sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,activate(Z:S)) ->->Cycle: ->->-> Pairs: SEL(s(X:S),cons(Y:S,Z:S)) -> SEL(X:S,activate(Z:S)) ->->-> Rules: activate(n__f(X:S)) -> f(X:S) activate(X:S) -> X:S f(X:S) -> cons(X:S,n__f(g(X:S))) f(X:S) -> n__f(X:S) g(0) -> s(0) g(s(X:S)) -> s(s(g(X:S))) sel(0,cons(X:S,Y:S)) -> X:S sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,activate(Z:S)) The problem is decomposed in 2 subproblems. Problem 1.1: Subterm Processor: -> Pairs: G(s(X:S)) -> G(X:S) -> Rules: activate(n__f(X:S)) -> f(X:S) activate(X:S) -> X:S f(X:S) -> cons(X:S,n__f(g(X:S))) f(X:S) -> n__f(X:S) g(0) -> s(0) g(s(X:S)) -> s(s(g(X:S))) sel(0,cons(X:S,Y:S)) -> X:S sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,activate(Z:S)) ->Projection: pi(G) = 1 Problem 1.1:
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