/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 v_NonEmpty:S x:S y:S z:S)
(RULES
++(++(x:S,y:S),z:S) -> ++(x:S,++(y:S,z:S))
++(.(x:S,y:S),z:S) -> .(x:S,++(y:S,z:S))
++(nil,y:S) -> y:S
++(x:S,nil) -> x:S
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 ++#(++(x:S,y:S),z:S) -> ++#(x:S,++(y:S,z:S))
 ++#(++(x:S,y:S),z:S) -> ++#(y:S,z:S)
 ++#(.(x:S,y:S),z:S) -> ++#(y:S,z:S)
-> Rules:
 ++(++(x:S,y:S),z:S) -> ++(x:S,++(y:S,z:S))
 ++(.(x:S,y:S),z:S) -> .(x:S,++(y:S,z:S))
 ++(nil,y:S) -> y:S
 ++(x:S,nil) -> x:S

Problem 1: 

SCC Processor:
-> Pairs:
 ++#(++(x:S,y:S),z:S) -> ++#(x:S,++(y:S,z:S))
 ++#(++(x:S,y:S),z:S) -> ++#(y:S,z:S)
 ++#(.(x:S,y:S),z:S) -> ++#(y:S,z:S)
-> Rules:
 ++(++(x:S,y:S),z:S) -> ++(x:S,++(y:S,z:S))
 ++(.(x:S,y:S),z:S) -> .(x:S,++(y:S,z:S))
 ++(nil,y:S) -> y:S
 ++(x:S,nil) -> x:S
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 ++#(++(x:S,y:S),z:S) -> ++#(x:S,++(y:S,z:S))
 ++#(++(x:S,y:S),z:S) -> ++#(y:S,z:S)
 ++#(.(x:S,y:S),z:S) -> ++#(y:S,z:S)
->->-> Rules:
 ++(++(x:S,y:S),z:S) -> ++(x:S,++(y:S,z:S))
 ++(.(x:S,y:S),z:S) -> .(x:S,++(y:S,z:S))
 ++(nil,y:S) -> y:S
 ++(x:S,nil) -> x:S

Problem 1: 

Subterm Processor:
-> Pairs:
 ++#(++(x:S,y:S),z:S) -> ++#(x:S,++(y:S,z:S))
 ++#(++(x:S,y:S),z:S) -> ++#(y:S,z:S)
 ++#(.(x:S,y:S),z:S) -> ++#(y:S,z:S)
-> Rules:
 ++(++(x:S,y:S),z:S) -> ++(x:S,++(y:S,z:S))
 ++(.(x:S,y:S),z:S) -> .(x:S,++(y:S,z:S))
 ++(nil,y:S) -> y:S
 ++(x:S,nil) -> x:S
->Projection:
 pi(++#) = 1

Problem 1: 

SCC Processor:
-> Pairs:
 Empty
-> Rules:
 ++(++(x:S,y:S),z:S) -> ++(x:S,++(y:S,z:S))
 ++(.(x:S,y:S),z:S) -> .(x:S,++(y:S,z:S))
 ++(nil,y:S) -> y:S
 ++(x:S,nil) -> x:S
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.