/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 X X1 X2)
(RULES
a__b -> a
a__b -> b
a__f(X,X) -> a__f(a,b)
a__f(X1,X2) -> f(X1,X2)
mark(a) -> a
mark(b) -> a__b
mark(f(X1,X2)) -> a__f(mark(X1),X2)
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 A__F(X,X) -> A__F(a,b)
 MARK(b) -> A__B
 MARK(f(X1,X2)) -> A__F(mark(X1),X2)
 MARK(f(X1,X2)) -> MARK(X1)
-> Rules:
 a__b -> a
 a__b -> b
 a__f(X,X) -> a__f(a,b)
 a__f(X1,X2) -> f(X1,X2)
 mark(a) -> a
 mark(b) -> a__b
 mark(f(X1,X2)) -> a__f(mark(X1),X2)

Problem 1: 

SCC Processor:
-> Pairs:
 A__F(X,X) -> A__F(a,b)
 MARK(b) -> A__B
 MARK(f(X1,X2)) -> A__F(mark(X1),X2)
 MARK(f(X1,X2)) -> MARK(X1)
-> Rules:
 a__b -> a
 a__b -> b
 a__f(X,X) -> a__f(a,b)
 a__f(X1,X2) -> f(X1,X2)
 mark(a) -> a
 mark(b) -> a__b
 mark(f(X1,X2)) -> a__f(mark(X1),X2)
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 MARK(f(X1,X2)) -> MARK(X1)
->->-> Rules:
 a__b -> a
 a__b -> b
 a__f(X,X) -> a__f(a,b)
 a__f(X1,X2) -> f(X1,X2)
 mark(a) -> a
 mark(b) -> a__b
 mark(f(X1,X2)) -> a__f(mark(X1),X2)

Problem 1: 

Subterm Processor:
-> Pairs:
 MARK(f(X1,X2)) -> MARK(X1)
-> Rules:
 a__b -> a
 a__b -> b
 a__f(X,X) -> a__f(a,b)
 a__f(X1,X2) -> f(X1,X2)
 mark(a) -> a
 mark(b) -> a__b
 mark(f(X1,X2)) -> a__f(mark(X1),X2)
->Projection:
 pi(MARK) = 1

Problem 1: 

SCC Processor:
-> Pairs:
 Empty
-> Rules:
 a__b -> a
 a__b -> b
 a__f(X,X) -> a__f(a,b)
 a__f(X1,X2) -> f(X1,X2)
 mark(a) -> a
 mark(b) -> a__b
 mark(f(X1,X2)) -> a__f(mark(X1),X2)
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.