details

property	value
status	complete
benchmark	gcd_triple.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n185.star.cs.uiowa.edu
space	Mixed_TRS

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.207017 seconds
cpu usage	0.195763
user time	0.119053
system time	0.07671
max virtual memory	113188.0
max residence set size	9056.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x:S y:S z:S) (RULES -(s(x:S),s(y:S)) -> -(x:S,y:S) -(x:S,0) -> x:S gcd(0,0,z:S) -> z:S gcd(0,y:S,0) -> y:S gcd(s(x:S),s(y:S),z:S) -> gcd(-(max(x:S,y:S),min(x:S,y:S)),s(min(x:S,y:S)),z:S) gcd(s(x:S),y:S,s(z:S)) -> gcd(-(max(x:S,z:S),min(x:S,z:S)),y:S,s(min(x:S,z:S))) gcd(x:S,0,0) -> x:S gcd(x:S,s(y:S),s(z:S)) -> gcd(x:S,-(max(y:S,z:S),min(y:S,z:S)),s(min(y:S,z:S))) max(0,y:S) -> y:S max(s(x:S),s(y:S)) -> s(max(x:S,y:S)) max(x:S,0) -> x:S min(0,y:S) -> 0 min(s(x:S),s(y:S)) -> s(min(x:S,y:S)) min(x:S,0) -> 0 ) Problem 1: Dependency Pairs Processor: -> Pairs: -#(s(x:S),s(y:S)) -> -#(x:S,y:S) GCD(s(x:S),s(y:S),z:S) -> -#(max(x:S,y:S),min(x:S,y:S)) GCD(s(x:S),s(y:S),z:S) -> GCD(-(max(x:S,y:S),min(x:S,y:S)),s(min(x:S,y:S)),z:S) GCD(s(x:S),s(y:S),z:S) -> MAX(x:S,y:S) GCD(s(x:S),s(y:S),z:S) -> MIN(x:S,y:S) GCD(s(x:S),y:S,s(z:S)) -> -#(max(x:S,z:S),min(x:S,z:S)) GCD(s(x:S),y:S,s(z:S)) -> GCD(-(max(x:S,z:S),min(x:S,z:S)),y:S,s(min(x:S,z:S))) GCD(s(x:S),y:S,s(z:S)) -> MAX(x:S,z:S) GCD(s(x:S),y:S,s(z:S)) -> MIN(x:S,z:S) GCD(x:S,s(y:S),s(z:S)) -> -#(max(y:S,z:S),min(y:S,z:S)) GCD(x:S,s(y:S),s(z:S)) -> GCD(x:S,-(max(y:S,z:S),min(y:S,z:S)),s(min(y:S,z:S))) GCD(x:S,s(y:S),s(z:S)) -> MAX(y:S,z:S) GCD(x:S,s(y:S),s(z:S)) -> MIN(y:S,z:S) MAX(s(x:S),s(y:S)) -> MAX(x:S,y:S) MIN(s(x:S),s(y:S)) -> MIN(x:S,y:S) -> Rules: -(s(x:S),s(y:S)) -> -(x:S,y:S) -(x:S,0) -> x:S gcd(0,0,z:S) -> z:S gcd(0,y:S,0) -> y:S gcd(s(x:S),s(y:S),z:S) -> gcd(-(max(x:S,y:S),min(x:S,y:S)),s(min(x:S,y:S)),z:S) gcd(s(x:S),y:S,s(z:S)) -> gcd(-(max(x:S,z:S),min(x:S,z:S)),y:S,s(min(x:S,z:S))) gcd(x:S,0,0) -> x:S gcd(x:S,s(y:S),s(z:S)) -> gcd(x:S,-(max(y:S,z:S),min(y:S,z:S)),s(min(y:S,z:S))) max(0,y:S) -> y:S max(s(x:S),s(y:S)) -> s(max(x:S,y:S)) max(x:S,0) -> x:S min(0,y:S) -> 0 min(s(x:S),s(y:S)) -> s(min(x:S,y:S)) min(x:S,0) -> 0 Problem 1: SCC Processor: -> Pairs: -#(s(x:S),s(y:S)) -> -#(x:S,y:S) GCD(s(x:S),s(y:S),z:S) -> -#(max(x:S,y:S),min(x:S,y:S)) GCD(s(x:S),s(y:S),z:S) -> GCD(-(max(x:S,y:S),min(x:S,y:S)),s(min(x:S,y:S)),z:S) GCD(s(x:S),s(y:S),z:S) -> MAX(x:S,y:S) GCD(s(x:S),s(y:S),z:S) -> MIN(x:S,y:S) GCD(s(x:S),y:S,s(z:S)) -> -#(max(x:S,z:S),min(x:S,z:S)) GCD(s(x:S),y:S,s(z:S)) -> GCD(-(max(x:S,z:S),min(x:S,z:S)),y:S,s(min(x:S,z:S))) GCD(s(x:S),y:S,s(z:S)) -> MAX(x:S,z:S) GCD(s(x:S),y:S,s(z:S)) -> MIN(x:S,z:S) GCD(x:S,s(y:S),s(z:S)) -> -#(max(y:S,z:S),min(y:S,z:S)) GCD(x:S,s(y:S),s(z:S)) -> GCD(x:S,-(max(y:S,z:S),min(y:S,z:S)),s(min(y:S,z:S))) GCD(x:S,s(y:S),s(z:S)) -> MAX(y:S,z:S) GCD(x:S,s(y:S),s(z:S)) -> MIN(y:S,z:S) MAX(s(x:S),s(y:S)) -> MAX(x:S,y:S) MIN(s(x:S),s(y:S)) -> MIN(x:S,y:S) -> Rules: -(s(x:S),s(y:S)) -> -(x:S,y:S) -(x:S,0) -> x:S gcd(0,0,z:S) -> z:S gcd(0,y:S,0) -> y:S gcd(s(x:S),s(y:S),z:S) -> gcd(-(max(x:S,y:S),min(x:S,y:S)),s(min(x:S,y:S)),z:S) gcd(s(x:S),y:S,s(z:S)) -> gcd(-(max(x:S,z:S),min(x:S,z:S)),y:S,s(min(x:S,z:S))) gcd(x:S,0,0) -> x:S gcd(x:S,s(y:S),s(z:S)) -> gcd(x:S,-(max(y:S,z:S),min(y:S,z:S)),s(min(y:S,z:S))) max(0,y:S) -> y:S max(s(x:S),s(y:S)) -> s(max(x:S,y:S)) max(x:S,0) -> x:S min(0,y:S) -> 0 min(s(x:S),s(y:S)) -> s(min(x:S,y:S)) min(x:S,0) -> 0 ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: MIN(s(x:S),s(y:S)) -> MIN(x:S,y:S) ->->-> Rules: -(s(x:S),s(y:S)) -> -(x:S,y:S) -(x:S,0) -> x:S gcd(0,0,z:S) -> z:S gcd(0,y:S,0) -> y:S popout

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