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


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NO

Problem 1: 

(VAR X Y)
(RULES
diff(X,Y) -> if(leq(X,Y))
if(false) -> Y
if(true) -> X
leq(0,Y) -> true
leq(s(X),0) -> false
leq(s(X),s(Y)) -> leq(X,Y)
p(0) -> 0
p(s(X)) -> X
)

Problem 1: 

Extra Variables Processor:
-> Rules:
 diff(X,Y) -> if(leq(X,Y))
 if(false) -> Y
 if(true) -> X
 leq(0,Y) -> true
 leq(s(X),0) -> false
 leq(s(X),s(Y)) -> leq(X,Y)
 p(0) -> 0
 p(s(X)) -> X
-> The system has extra variables.

The problem is infinite.