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TRS Standard pair #487068974
details
property
value
status
complete
benchmark
identity.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n179.star.cs.uiowa.edu
space
AProVE_06
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.400639 seconds
cpu usage
0.385306
user time
0.305619
system time
0.079687
max virtual memory
113188.0
max residence set size
7580.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S x:S y:S) (RULES double(x:S) -> g(d,x:S) f(s(0),y:S) -> y:S f(s(x:S),y:S) -> f(half(s(x:S)),double(y:S)) g(d,s(x:S)) -> s(s(g(d,x:S))) g(h,s(0)) -> 0 g(h,s(s(x:S))) -> s(g(h,x:S)) g(x:S,0) -> 0 half(x:S) -> g(h,x:S) id(x:S) -> f(x:S,s(0)) ) Problem 1: Dependency Pairs Processor: -> Pairs: DOUBLE(x:S) -> G(d,x:S) F(s(x:S),y:S) -> DOUBLE(y:S) F(s(x:S),y:S) -> F(half(s(x:S)),double(y:S)) F(s(x:S),y:S) -> HALF(s(x:S)) G(d,s(x:S)) -> G(d,x:S) G(h,s(s(x:S))) -> G(h,x:S) HALF(x:S) -> G(h,x:S) ID(x:S) -> F(x:S,s(0)) -> Rules: double(x:S) -> g(d,x:S) f(s(0),y:S) -> y:S f(s(x:S),y:S) -> f(half(s(x:S)),double(y:S)) g(d,s(x:S)) -> s(s(g(d,x:S))) g(h,s(0)) -> 0 g(h,s(s(x:S))) -> s(g(h,x:S)) g(x:S,0) -> 0 half(x:S) -> g(h,x:S) id(x:S) -> f(x:S,s(0)) Problem 1: SCC Processor: -> Pairs: DOUBLE(x:S) -> G(d,x:S) F(s(x:S),y:S) -> DOUBLE(y:S) F(s(x:S),y:S) -> F(half(s(x:S)),double(y:S)) F(s(x:S),y:S) -> HALF(s(x:S)) G(d,s(x:S)) -> G(d,x:S) G(h,s(s(x:S))) -> G(h,x:S) HALF(x:S) -> G(h,x:S) ID(x:S) -> F(x:S,s(0)) -> Rules: double(x:S) -> g(d,x:S) f(s(0),y:S) -> y:S f(s(x:S),y:S) -> f(half(s(x:S)),double(y:S)) g(d,s(x:S)) -> s(s(g(d,x:S))) g(h,s(0)) -> 0 g(h,s(s(x:S))) -> s(g(h,x:S)) g(x:S,0) -> 0 half(x:S) -> g(h,x:S) id(x:S) -> f(x:S,s(0)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: G(h,s(s(x:S))) -> G(h,x:S) ->->-> Rules: double(x:S) -> g(d,x:S) f(s(0),y:S) -> y:S f(s(x:S),y:S) -> f(half(s(x:S)),double(y:S)) g(d,s(x:S)) -> s(s(g(d,x:S))) g(h,s(0)) -> 0 g(h,s(s(x:S))) -> s(g(h,x:S)) g(x:S,0) -> 0 half(x:S) -> g(h,x:S) id(x:S) -> f(x:S,s(0)) ->->Cycle: ->->-> Pairs: G(d,s(x:S)) -> G(d,x:S) ->->-> Rules: double(x:S) -> g(d,x:S) f(s(0),y:S) -> y:S f(s(x:S),y:S) -> f(half(s(x:S)),double(y:S)) g(d,s(x:S)) -> s(s(g(d,x:S))) g(h,s(0)) -> 0 g(h,s(s(x:S))) -> s(g(h,x:S)) g(x:S,0) -> 0 half(x:S) -> g(h,x:S) id(x:S) -> f(x:S,s(0)) ->->Cycle: ->->-> Pairs: F(s(x:S),y:S) -> F(half(s(x:S)),double(y:S)) ->->-> Rules: double(x:S) -> g(d,x:S) f(s(0),y:S) -> y:S f(s(x:S),y:S) -> f(half(s(x:S)),double(y:S)) g(d,s(x:S)) -> s(s(g(d,x:S))) g(h,s(0)) -> 0 g(h,s(s(x:S))) -> s(g(h,x:S)) g(x:S,0) -> 0
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