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


--------------------------------------------------------------------------------


YES

Problem 1: 

(VAR X X1 X2 X3 Y)
(RULES
a__b -> b
a__b -> c
a__f(X,g(X),Y) -> a__f(Y,Y,Y)
a__f(X1,X2,X3) -> f(X1,X2,X3)
a__g(b) -> c
a__g(X) -> g(X)
mark(b) -> a__b
mark(c) -> c
mark(f(X1,X2,X3)) -> a__f(X1,X2,X3)
mark(g(X)) -> a__g(mark(X))
) 
(STRATEGY INNERMOST)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 A__F(X,g(X),Y) -> A__F(Y,Y,Y)
 MARK(b) -> A__B
 MARK(f(X1,X2,X3)) -> A__F(X1,X2,X3)
 MARK(g(X)) -> A__G(mark(X))
 MARK(g(X)) -> MARK(X)
-> Rules:
 a__b -> b
 a__b -> c
 a__f(X,g(X),Y) -> a__f(Y,Y,Y)
 a__f(X1,X2,X3) -> f(X1,X2,X3)
 a__g(b) -> c
 a__g(X) -> g(X)
 mark(b) -> a__b
 mark(c) -> c
 mark(f(X1,X2,X3)) -> a__f(X1,X2,X3)
 mark(g(X)) -> a__g(mark(X))

Problem 1: 

SCC Processor:
-> Pairs:
 A__F(X,g(X),Y) -> A__F(Y,Y,Y)
 MARK(b) -> A__B
 MARK(f(X1,X2,X3)) -> A__F(X1,X2,X3)
 MARK(g(X)) -> A__G(mark(X))
 MARK(g(X)) -> MARK(X)
-> Rules:
 a__b -> b
 a__b -> c
 a__f(X,g(X),Y) -> a__f(Y,Y,Y)
 a__f(X1,X2,X3) -> f(X1,X2,X3)
 a__g(b) -> c
 a__g(X) -> g(X)
 mark(b) -> a__b
 mark(c) -> c
 mark(f(X1,X2,X3)) -> a__f(X1,X2,X3)
 mark(g(X)) -> a__g(mark(X))
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 MARK(g(X)) -> MARK(X)
->->-> Rules:
 a__b -> b
 a__b -> c
 a__f(X,g(X),Y) -> a__f(Y,Y,Y)
 a__f(X1,X2,X3) -> f(X1,X2,X3)
 a__g(b) -> c
 a__g(X) -> g(X)
 mark(b) -> a__b
 mark(c) -> c
 mark(f(X1,X2,X3)) -> a__f(X1,X2,X3)
 mark(g(X)) -> a__g(mark(X))

Problem 1: 

Subterm Processor:
-> Pairs:
 MARK(g(X)) -> MARK(X)
-> Rules:
 a__b -> b
 a__b -> c
 a__f(X,g(X),Y) -> a__f(Y,Y,Y)
 a__f(X1,X2,X3) -> f(X1,X2,X3)
 a__g(b) -> c
 a__g(X) -> g(X)
 mark(b) -> a__b
 mark(c) -> c
 mark(f(X1,X2,X3)) -> a__f(X1,X2,X3)
 mark(g(X)) -> a__g(mark(X))
->Projection:
 pi(MARK) = 1

Problem 1: 

SCC Processor:
-> Pairs:
 Empty
-> Rules:
 a__b -> b
 a__b -> c
 a__f(X,g(X),Y) -> a__f(Y,Y,Y)
 a__f(X1,X2,X3) -> f(X1,X2,X3)
 a__g(b) -> c
 a__g(X) -> g(X)
 mark(b) -> a__b
 mark(c) -> c
 mark(f(X1,X2,X3)) -> a__f(X1,X2,X3)
 mark(g(X)) -> a__g(mark(X))
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.