details

property	value
status	complete
benchmark	quotrem.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n177.star.cs.uiowa.edu
space	Mixed_CTRS

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.055347 seconds
cpu usage	0.045315
user time	0.016871
system time	0.028444
max virtual memory	113176.0
max residence set size	7256.0

stage attributes

key	value
starexec-result	YES

output

0.00/0.04 YES 0.00/0.04 0.00/0.04 Problem 1: 0.00/0.04 0.00/0.04 (VAR v_NonEmpty:S q:S r:S x:S y:S) 0.00/0.04 (RULES 0.00/0.04 less(0,s(x:S)) -> ttrue 0.00/0.04 less(s(x:S),s(y:S)) -> less(x:S,y:S) 0.00/0.04 less(x:S,0) -> ffalse 0.00/0.04 minus(0,s(y:S)) -> 0 0.00/0.04 minus(s(x:S),s(y:S)) -> minus(x:S,y:S) 0.00/0.04 minus(x:S,0) -> x:S 0.00/0.04 quotrem(0,s(y:S)) -> pair(0,0) 0.00/0.04 quotrem(s(x:S),s(y:S)) -> pair(0,s(x:S)) | less(x:S,y:S) ->* ttrue 0.00/0.04 quotrem(s(x:S),s(y:S)) -> pair(s(q:S),r:S) | less(x:S,y:S) ->* ffalse, quotrem(minus(x:S,y:S),s(y:S)) ->* pair(q:S,r:S) 0.00/0.04 ) 0.00/0.04 0.00/0.04 Problem 1: 0.00/0.04 Valid CTRS Processor: 0.00/0.04 -> Rules: 0.00/0.04 less(0,s(x:S)) -> ttrue 0.00/0.04 less(s(x:S),s(y:S)) -> less(x:S,y:S) 0.00/0.04 less(x:S,0) -> ffalse 0.00/0.04 minus(0,s(y:S)) -> 0 0.00/0.04 minus(s(x:S),s(y:S)) -> minus(x:S,y:S) 0.00/0.04 minus(x:S,0) -> x:S 0.00/0.04 quotrem(0,s(y:S)) -> pair(0,0) 0.00/0.04 quotrem(s(x:S),s(y:S)) -> pair(0,s(x:S)) | less(x:S,y:S) ->* ttrue 0.00/0.04 quotrem(s(x:S),s(y:S)) -> pair(s(q:S),r:S) | less(x:S,y:S) ->* ffalse, quotrem(minus(x:S,y:S),s(y:S)) ->* pair(q:S,r:S) 0.00/0.04 -> The system is a deterministic 3-CTRS. 0.00/0.04 0.00/0.04 Problem 1: 0.00/0.04 0.00/0.04 Dependency Pairs Processor: 0.00/0.04 0.00/0.04 Conditional Termination Problem 1: 0.00/0.04 -> Pairs: 0.00/0.04 LESS(s(x:S),s(y:S)) -> LESS(x:S,y:S) 0.00/0.04 MINUS(s(x:S),s(y:S)) -> MINUS(x:S,y:S) 0.00/0.04 -> QPairs: 0.00/0.04 Empty 0.00/0.04 -> Rules: 0.00/0.04 less(0,s(x:S)) -> ttrue 0.00/0.04 less(s(x:S),s(y:S)) -> less(x:S,y:S) 0.00/0.04 less(x:S,0) -> ffalse 0.00/0.04 minus(0,s(y:S)) -> 0 0.00/0.04 minus(s(x:S),s(y:S)) -> minus(x:S,y:S) 0.00/0.04 minus(x:S,0) -> x:S 0.00/0.04 quotrem(0,s(y:S)) -> pair(0,0) 0.00/0.04 quotrem(s(x:S),s(y:S)) -> pair(0,s(x:S)) | less(x:S,y:S) ->* ttrue 0.00/0.04 quotrem(s(x:S),s(y:S)) -> pair(s(q:S),r:S) | less(x:S,y:S) ->* ffalse, quotrem(minus(x:S,y:S),s(y:S)) ->* pair(q:S,r:S) 0.00/0.04 0.00/0.04 Conditional Termination Problem 2: 0.00/0.04 -> Pairs: 0.00/0.04 QUOTREM(s(x:S),s(y:S)) -> LESS(x:S,y:S) 0.00/0.04 QUOTREM(s(x:S),s(y:S)) -> MINUS(x:S,y:S) | less(x:S,y:S) ->* ffalse 0.00/0.04 QUOTREM(s(x:S),s(y:S)) -> QUOTREM(minus(x:S,y:S),s(y:S)) | less(x:S,y:S) ->* ffalse 0.00/0.04 -> QPairs: 0.00/0.04 LESS(s(x:S),s(y:S)) -> LESS(x:S,y:S) 0.00/0.04 MINUS(s(x:S),s(y:S)) -> MINUS(x:S,y:S) 0.00/0.04 -> Rules: 0.00/0.04 less(0,s(x:S)) -> ttrue 0.00/0.04 less(s(x:S),s(y:S)) -> less(x:S,y:S) 0.00/0.04 less(x:S,0) -> ffalse 0.00/0.04 minus(0,s(y:S)) -> 0 0.00/0.04 minus(s(x:S),s(y:S)) -> minus(x:S,y:S) 0.00/0.04 minus(x:S,0) -> x:S 0.00/0.04 quotrem(0,s(y:S)) -> pair(0,0) 0.00/0.04 quotrem(s(x:S),s(y:S)) -> pair(0,s(x:S)) | less(x:S,y:S) ->* ttrue 0.00/0.04 quotrem(s(x:S),s(y:S)) -> pair(s(q:S),r:S) | less(x:S,y:S) ->* ffalse, quotrem(minus(x:S,y:S),s(y:S)) ->* pair(q:S,r:S) 0.00/0.04 0.00/0.04 0.00/0.04 The problem is decomposed in 2 subproblems. 0.00/0.04 0.00/0.04 Problem 1.1: 0.00/0.04 0.00/0.04 SCC Processor: 0.00/0.04 -> Pairs: 0.00/0.04 LESS(s(x:S),s(y:S)) -> LESS(x:S,y:S) 0.00/0.04 MINUS(s(x:S),s(y:S)) -> MINUS(x:S,y:S) 0.00/0.04 -> QPairs: 0.00/0.04 Empty 0.00/0.04 -> Rules: 0.00/0.04 less(0,s(x:S)) -> ttrue 0.00/0.04 less(s(x:S),s(y:S)) -> less(x:S,y:S) 0.00/0.04 less(x:S,0) -> ffalse 0.00/0.04 minus(0,s(y:S)) -> 0 0.00/0.04 minus(s(x:S),s(y:S)) -> minus(x:S,y:S) 0.00/0.04 minus(x:S,0) -> x:S 0.00/0.04 quotrem(0,s(y:S)) -> pair(0,0) 0.00/0.04 quotrem(s(x:S),s(y:S)) -> pair(0,s(x:S)) | less(x:S,y:S) ->* ttrue 0.00/0.04 quotrem(s(x:S),s(y:S)) -> pair(s(q:S),r:S) | less(x:S,y:S) ->* ffalse, quotrem(minus(x:S,y:S),s(y:S)) ->* pair(q:S,r:S) 0.00/0.04 ->Strongly Connected Components: 0.00/0.04 ->->Cycle: 0.00/0.04 ->->-> Pairs: 0.00/0.04 MINUS(s(x:S),s(y:S)) -> MINUS(x:S,y:S) 0.00/0.04 -> QPairs: 0.00/0.04 Empty 0.00/0.04 ->->-> Rules: 0.00/0.04 less(0,s(x:S)) -> ttrue popout

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actions

all output return to TRS_Conditional 2019-03-28 22.59