/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 x' x'' y)
(RULES
f(x,x') -> g(y,y) | x -> y, x' -> y
h(x,x',x'') -> c | x -> y, x' -> y, x'' -> y
)

Problem 1: 
Valid CTRS Processor:
-> Rules:
 f(x,x') -> g(y,y) | x -> y, x' -> y
 h(x,x',x'') -> c | x -> y, x' -> y, x'' -> y
-> The system is a deterministic 3-CTRS.

Problem 1: 

Dependency Pairs Processor:

Conditional Termination Problem 1:
-> Pairs:
 Empty
-> QPairs:
 Empty
-> Rules:
 f(x,x') -> g(y,y) | x -> y, x' -> y
 h(x,x',x'') -> c | x -> y, x' -> y, x'' -> y

Conditional Termination Problem 2:
-> Pairs:
 Empty
-> QPairs:
 Empty
-> Rules:
 f(x,x') -> g(y,y) | x -> y, x' -> y
 h(x,x',x'') -> c | x -> y, x' -> y, x'' -> y


The problem is decomposed in 2 subproblems.

Problem 1.1: 

SCC Processor:
-> Pairs:
 Empty
-> QPairs:
 Empty
-> Rules:
 f(x,x') -> g(y,y) | x -> y, x' -> y
 h(x,x',x'') -> c | x -> y, x' -> y, x'' -> y
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.

Problem 1.2: 

SCC Processor:
-> Pairs:
 Empty
-> QPairs:
 Empty
-> Rules:
 f(x,x') -> g(y,y) | x -> y, x' -> y
 h(x,x',x'') -> c | x -> y, x' -> y, x'' -> y
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.