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


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YES

Problem 1: 

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

Problem 1: 

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

Problem 1: 

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

Problem 1: 

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

Problem 1: 

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

The problem is finite.