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TRS Standard pair #487073019
details
property
value
status
complete
benchmark
kabasci04.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n181.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.398589 seconds
cpu usage
0.401496
user time
0.331126
system time
0.07037
max virtual memory
113188.0
max residence set size
14524.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S x:S y:S) (RULES any(s(x:S)) -> s(s(any(x:S))) any(x:S) -> x:S gcd(s(x:S),s(y:S)) -> gcd(minus(max(x:S,y:S),min(x:S,y:S)),s(min(x:S,y: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 minus(s(x:S),s(y:S)) -> s(minus(x:S,any(y:S))) minus(x:S,0) -> x:S ) Problem 1: Dependency Pairs Processor: -> Pairs: ANY(s(x:S)) -> ANY(x:S) GCD(s(x:S),s(y:S)) -> GCD(minus(max(x:S,y:S),min(x:S,y:S)),s(min(x:S,y:S))) GCD(s(x:S),s(y:S)) -> MAX(x:S,y:S) GCD(s(x:S),s(y:S)) -> MIN(x:S,y:S) GCD(s(x:S),s(y:S)) -> MINUS(max(x:S,y:S),min(x:S,y: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) MINUS(s(x:S),s(y:S)) -> ANY(y:S) MINUS(s(x:S),s(y:S)) -> MINUS(x:S,any(y:S)) -> Rules: any(s(x:S)) -> s(s(any(x:S))) any(x:S) -> x:S gcd(s(x:S),s(y:S)) -> gcd(minus(max(x:S,y:S),min(x:S,y:S)),s(min(x:S,y: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 minus(s(x:S),s(y:S)) -> s(minus(x:S,any(y:S))) minus(x:S,0) -> x:S Problem 1: SCC Processor: -> Pairs: ANY(s(x:S)) -> ANY(x:S) GCD(s(x:S),s(y:S)) -> GCD(minus(max(x:S,y:S),min(x:S,y:S)),s(min(x:S,y:S))) GCD(s(x:S),s(y:S)) -> MAX(x:S,y:S) GCD(s(x:S),s(y:S)) -> MIN(x:S,y:S) GCD(s(x:S),s(y:S)) -> MINUS(max(x:S,y:S),min(x:S,y: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) MINUS(s(x:S),s(y:S)) -> ANY(y:S) MINUS(s(x:S),s(y:S)) -> MINUS(x:S,any(y:S)) -> Rules: any(s(x:S)) -> s(s(any(x:S))) any(x:S) -> x:S gcd(s(x:S),s(y:S)) -> gcd(minus(max(x:S,y:S),min(x:S,y:S)),s(min(x:S,y: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 minus(s(x:S),s(y:S)) -> s(minus(x:S,any(y:S))) minus(x:S,0) -> x:S ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: MIN(s(x:S),s(y:S)) -> MIN(x:S,y:S) ->->-> Rules: any(s(x:S)) -> s(s(any(x:S))) any(x:S) -> x:S gcd(s(x:S),s(y:S)) -> gcd(minus(max(x:S,y:S),min(x:S,y:S)),s(min(x:S,y: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 minus(s(x:S),s(y:S)) -> s(minus(x:S,any(y:S))) minus(x:S,0) -> x:S ->->Cycle: ->->-> Pairs: MAX(s(x:S),s(y:S)) -> MAX(x:S,y:S) ->->-> Rules: any(s(x:S)) -> s(s(any(x:S))) any(x:S) -> x:S gcd(s(x:S),s(y:S)) -> gcd(minus(max(x:S,y:S),min(x:S,y:S)),s(min(x:S,y: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 minus(s(x:S),s(y:S)) -> s(minus(x:S,any(y:S)))
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