/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

Problem 1: 

(VAR v_NonEmpty:S x:S y:S z:S)
(RULES
copy(0,y:S,z:S) -> f(z:S)
copy(s(x:S),y:S,z:S) -> copy(x:S,y:S,cons(f(y:S),z:S))
f(cons(f(cons(nil,y:S)),z:S)) -> copy(n,y:S,z:S)
f(cons(nil,y:S)) -> y:S
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 COPY(0,y:S,z:S) -> F(z:S)
 COPY(s(x:S),y:S,z:S) -> COPY(x:S,y:S,cons(f(y:S),z:S))
 COPY(s(x:S),y:S,z:S) -> F(y:S)
-> Rules:
 copy(0,y:S,z:S) -> f(z:S)
 copy(s(x:S),y:S,z:S) -> copy(x:S,y:S,cons(f(y:S),z:S))
 f(cons(f(cons(nil,y:S)),z:S)) -> copy(n,y:S,z:S)
 f(cons(nil,y:S)) -> y:S

Problem 1: 

SCC Processor:
-> Pairs:
 COPY(0,y:S,z:S) -> F(z:S)
 COPY(s(x:S),y:S,z:S) -> COPY(x:S,y:S,cons(f(y:S),z:S))
 COPY(s(x:S),y:S,z:S) -> F(y:S)
-> Rules:
 copy(0,y:S,z:S) -> f(z:S)
 copy(s(x:S),y:S,z:S) -> copy(x:S,y:S,cons(f(y:S),z:S))
 f(cons(f(cons(nil,y:S)),z:S)) -> copy(n,y:S,z:S)
 f(cons(nil,y:S)) -> y:S
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 COPY(s(x:S),y:S,z:S) -> COPY(x:S,y:S,cons(f(y:S),z:S))
->->-> Rules:
 copy(0,y:S,z:S) -> f(z:S)
 copy(s(x:S),y:S,z:S) -> copy(x:S,y:S,cons(f(y:S),z:S))
 f(cons(f(cons(nil,y:S)),z:S)) -> copy(n,y:S,z:S)
 f(cons(nil,y:S)) -> y:S

Problem 1: 

Subterm Processor:
-> Pairs:
 COPY(s(x:S),y:S,z:S) -> COPY(x:S,y:S,cons(f(y:S),z:S))
-> Rules:
 copy(0,y:S,z:S) -> f(z:S)
 copy(s(x:S),y:S,z:S) -> copy(x:S,y:S,cons(f(y:S),z:S))
 f(cons(f(cons(nil,y:S)),z:S)) -> copy(n,y:S,z:S)
 f(cons(nil,y:S)) -> y:S
->Projection:
 pi(COPY) = 1

Problem 1: 

SCC Processor:
-> Pairs:
 Empty
-> Rules:
 copy(0,y:S,z:S) -> f(z:S)
 copy(s(x:S),y:S,z:S) -> copy(x:S,y:S,cons(f(y:S),z:S))
 f(cons(f(cons(nil,y:S)),z:S)) -> copy(n,y:S,z:S)
 f(cons(nil,y:S)) -> y:S
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.