0.001/0.001	YES
0.001/0.001	
0.001/0.001	Problem 1:
0.001/0.001	
0.001/0.001	
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	Confluence Problem:
0.001/0.001	(VAR vNonEmpty:S x:S y:S z:S l:S l1:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(f 1)
0.001/0.001	(cons 1 2)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(nil)
0.001/0.001	(pair 1 2)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	f(cons(x:S,cons(y:S,l:S))) -> pair(z:S,cons(x:S,l1:S)) | f(cons(y:S,l:S)) ->* pair(z:S,l1:S)
0.001/0.001	f(cons(x:S,nil)) -> pair(x:S,nil)
0.001/0.001	)
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	
0.001/0.001	
0.001/0.001	Problem 1:
0.001/0.001	
0.001/0.001	Inlining of Conditions Processor [STERN17]:
0.001/0.001	
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	Confluence Problem:
0.001/0.001	(VAR vNonEmpty:S x:S y:S z:S l:S l1:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(f 1)
0.001/0.001	(cons 1 2)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(nil)
0.001/0.001	(pair 1 2)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	f(cons(x:S,cons(y:S,l:S))) -> pair(z:S,cons(x:S,l1:S)) | f(cons(y:S,l:S)) ->* pair(z:S,l1:S)
0.001/0.001	f(cons(x:S,nil)) -> pair(x:S,nil)
0.001/0.001	)
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	
0.001/0.001	
0.001/0.001	Problem 1:
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	Confluence Problem:
0.001/0.001	(VAR vNonEmpty:S x:S y:S z:S l:S l1:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(f 1)
0.001/0.001	(cons 1 2)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(nil)
0.001/0.001	(pair 1 2)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	f(cons(x:S,cons(y:S,l:S))) -> pair(z:S,cons(x:S,l1:S)) | f(cons(y:S,l:S)) ->* pair(z:S,l1:S)
0.001/0.001	f(cons(x:S,nil)) -> pair(x:S,nil)
0.001/0.001	)
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	
0.001/0.001	Critical Pairs Processor:
0.001/0.001	-> Rules:
0.001/0.001	f(cons(x:S,cons(y:S,l:S))) -> pair(z:S,cons(x:S,l1:S)) | f(cons(y:S,l:S)) ->* pair(z:S,l1:S)
0.001/0.001	f(cons(x:S,nil)) -> pair(x:S,nil)
0.001/0.001	-> Vars:
0.001/0.001	"x", "y", "z", "l", "l1", "x"
0.001/0.001	-> FVars:
0.001/0.001	"x6", "x7", "x8", "x9", "x10", "x11"
0.001/0.001	-> PVars:
0.001/0.001	"x": ["x6", "x11"], "y": ["x7"], "z": ["x8"], "l": ["x9"], "l1": ["x10"]
0.001/0.001	
0.001/0.001	-> Rlps:
0.001/0.001	crule: f(cons(x6:S,cons(x7:S,x9:S))) -> pair(x8:S,cons(x6:S,x10:S)) | f(cons(x7:S,x9:S)) ->* pair(x8:S,x10:S), id: 1, possubterms: f(cons(x6:S,cons(x7:S,x9:S)))-> [], cons(x6:S,cons(x7:S,x9:S))-> [1], cons(x7:S,x9:S)-> [1,2]
0.001/0.001	crule: f(cons(x11:S,nil)) -> pair(x11:S,nil), id: 2, possubterms: f(cons(x11:S,nil))-> [], cons(x11:S,nil)-> [1], nil-> [1,2]
0.001/0.001	
0.001/0.001	-> Unifications:
0.001/0.001	
0.001/0.001	
0.001/0.001	-> Critical pairs info:
0.001/0.001	
0.001/0.001	
0.001/0.001	-> Problem conclusions:
0.001/0.001	 Left linear, Right linear, Linear
0.001/0.001	 Weakly orthogonal, Almost orthogonal, Orthogonal
0.001/0.001	 CTRS Type: 3
0.001/0.001	 Deterministic, Strongly deterministic
0.001/0.001	 Oriented CTRS, Properly oriented CTRS, Not join CTRS
0.001/0.001	 Maybe right-stable CTRS, Overlay CTRS
0.001/0.001	 Maybe normal CTRS, Maybe almost normal CTRS
0.001/0.001	 Maybe terminating CTRS, Joinable CCPs
0.001/0.001	 Maybe level confluent
0.001/0.001	 Maybe confluent
0.001/0.001	
0.001/0.001	Problem 1:
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	Confluence Problem:
0.001/0.001	(VAR vNonEmpty:S x:S y:S z:S l:S l1:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(f 1)
0.001/0.001	(cons 1 2)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(nil)
0.001/0.001	(pair 1 2)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	f(cons(x:S,cons(y:S,l:S))) -> pair(z:S,cons(x:S,l1:S)) | f(cons(y:S,l:S)) ->* pair(z:S,l1:S)
0.001/0.001	f(cons(x:S,nil)) -> pair(x:S,nil)
0.001/0.001	)
0.001/0.001	Critical Pairs:
0.001/0.001	
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	
0.001/0.001	Right Stable Processor:
0.001/0.001	Right-stable CTRS
0.001/0.001	Justification:
0.001/0.001	
0.001/0.001	-> Term right-stability conditions:
0.001/0.001	 Term: pair(c_z,c_l1)
0.001/0.001	 Right-stable term
0.001/0.001	 Linear constructor form
0.001/0.001	 Don't know if term is a ground normal form (not needed)
0.001/0.001	 Right-stability condition achieved
0.001/0.001	 A call to InfChecker wasn't needed
0.001/0.001	
0.001/0.001	-> Problem conclusions:
0.001/0.001	 Left linear, Right linear, Linear
0.001/0.001	 Weakly orthogonal, Almost orthogonal, Orthogonal
0.001/0.001	 CTRS Type: 3
0.001/0.001	 Deterministic, Strongly deterministic
0.001/0.001	 Oriented CTRS, Properly oriented CTRS, Not join CTRS
0.001/0.001	 Right-stable CTRS, Overlay CTRS
0.001/0.001	 Maybe normal CTRS, Almost normal CTRS
0.001/0.001	 Maybe terminating CTRS, Joinable CCPs
0.001/0.001	 Level confluent
0.001/0.001	 Confluent
0.001/0.001	
0.001/0.001	The problem is joinable.
0.001/0.001	0.00user 0.00system 0:00.01elapsed 41%CPU (0avgtext+0avgdata 8192maxresident)k
0.001/0.001	8inputs+0outputs (0major+664minor)pagefaults 0swaps