/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 X3)
(RULES
a__c -> b
a__c -> c
a__f(b,X,c) -> a__f(X,a__c,X)
a__f(X1,X2,X3) -> f(X1,X2,X3)
mark(b) -> b
mark(c) -> a__c
mark(f(X1,X2,X3)) -> a__f(X1,mark(X2),X3)
) 
(STRATEGY INNERMOST)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 A__F(b,X,c) -> A__C
 A__F(b,X,c) -> A__F(X,a__c,X)
 MARK(c) -> A__C
 MARK(f(X1,X2,X3)) -> A__F(X1,mark(X2),X3)
 MARK(f(X1,X2,X3)) -> MARK(X2)
-> Rules:
 a__c -> b
 a__c -> c
 a__f(b,X,c) -> a__f(X,a__c,X)
 a__f(X1,X2,X3) -> f(X1,X2,X3)
 mark(b) -> b
 mark(c) -> a__c
 mark(f(X1,X2,X3)) -> a__f(X1,mark(X2),X3)

Problem 1: 

SCC Processor:
-> Pairs:
 A__F(b,X,c) -> A__C
 A__F(b,X,c) -> A__F(X,a__c,X)
 MARK(c) -> A__C
 MARK(f(X1,X2,X3)) -> A__F(X1,mark(X2),X3)
 MARK(f(X1,X2,X3)) -> MARK(X2)
-> Rules:
 a__c -> b
 a__c -> c
 a__f(b,X,c) -> a__f(X,a__c,X)
 a__f(X1,X2,X3) -> f(X1,X2,X3)
 mark(b) -> b
 mark(c) -> a__c
 mark(f(X1,X2,X3)) -> a__f(X1,mark(X2),X3)
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 MARK(f(X1,X2,X3)) -> MARK(X2)
->->-> Rules:
 a__c -> b
 a__c -> c
 a__f(b,X,c) -> a__f(X,a__c,X)
 a__f(X1,X2,X3) -> f(X1,X2,X3)
 mark(b) -> b
 mark(c) -> a__c
 mark(f(X1,X2,X3)) -> a__f(X1,mark(X2),X3)

Problem 1: 

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

Problem 1: 

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

The problem is finite.