details

property	value
status	complete
benchmark	direct.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n073.star.cs.uiowa.edu
space	Endrullis_06

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.104203 seconds
cpu usage	0.086915
user time	0.047559
system time	0.039356
max virtual memory	113188.0
max residence set size	5456.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x:S y:S z:S) (RULES h(c(s(x:S),c(s(0),y:S)),z:S) -> h(y:S,c(s(0),c(x:S,z:S))) h(x:S,c(y:S,z:S)) -> h(c(s(y:S),x:S),z:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: H(c(s(x:S),c(s(0),y:S)),z:S) -> H(y:S,c(s(0),c(x:S,z:S))) H(x:S,c(y:S,z:S)) -> H(c(s(y:S),x:S),z:S) -> Rules: h(c(s(x:S),c(s(0),y:S)),z:S) -> h(y:S,c(s(0),c(x:S,z:S))) h(x:S,c(y:S,z:S)) -> h(c(s(y:S),x:S),z:S) Problem 1: SCC Processor: -> Pairs: H(c(s(x:S),c(s(0),y:S)),z:S) -> H(y:S,c(s(0),c(x:S,z:S))) H(x:S,c(y:S,z:S)) -> H(c(s(y:S),x:S),z:S) -> Rules: h(c(s(x:S),c(s(0),y:S)),z:S) -> h(y:S,c(s(0),c(x:S,z:S))) h(x:S,c(y:S,z:S)) -> h(c(s(y:S),x:S),z:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: H(c(s(x:S),c(s(0),y:S)),z:S) -> H(y:S,c(s(0),c(x:S,z:S))) H(x:S,c(y:S,z:S)) -> H(c(s(y:S),x:S),z:S) ->->-> Rules: h(c(s(x:S),c(s(0),y:S)),z:S) -> h(y:S,c(s(0),c(x:S,z:S))) h(x:S,c(y:S,z:S)) -> h(c(s(y:S),x:S),z:S) Problem 1: Reduction Pair Processor: -> Pairs: H(c(s(x:S),c(s(0),y:S)),z:S) -> H(y:S,c(s(0),c(x:S,z:S))) H(x:S,c(y:S,z:S)) -> H(c(s(y:S),x:S),z:S) -> Rules: h(c(s(x:S),c(s(0),y:S)),z:S) -> h(y:S,c(s(0),c(x:S,z:S))) h(x:S,c(y:S,z:S)) -> h(c(s(y:S),x:S),z:S) -> Usable rules: Empty ->Interpretation type: Linear ->Coefficients: All rationals ->Dimension: 1 ->Bound: 2 ->Interpretation: [0] = 1/2 [c](X1,X2) = 1/2.X1 + X2 [s](X) = 1/2.X [H](X1,X2) = X1 + 1/2.X2 Problem 1: SCC Processor: -> Pairs: H(x:S,c(y:S,z:S)) -> H(c(s(y:S),x:S),z:S) -> Rules: h(c(s(x:S),c(s(0),y:S)),z:S) -> h(y:S,c(s(0),c(x:S,z:S))) h(x:S,c(y:S,z:S)) -> h(c(s(y:S),x:S),z:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: H(x:S,c(y:S,z:S)) -> H(c(s(y:S),x:S),z:S) ->->-> Rules: h(c(s(x:S),c(s(0),y:S)),z:S) -> h(y:S,c(s(0),c(x:S,z:S))) h(x:S,c(y:S,z:S)) -> h(c(s(y:S),x:S),z:S) Problem 1: Subterm Processor: -> Pairs: H(x:S,c(y:S,z:S)) -> H(c(s(y:S),x:S),z:S) -> Rules: h(c(s(x:S),c(s(0),y:S)),z:S) -> h(y:S,c(s(0),c(x:S,z:S))) h(x:S,c(y:S,z:S)) -> h(c(s(y:S),x:S),z:S) ->Projection: pi(H) = 2 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: h(c(s(x:S),c(s(0),y:S)),z:S) -> h(y:S,c(s(0),c(x:S,z:S))) h(x:S,c(y:S,z:S)) -> h(c(s(y:S),x:S),z:S) ->Strongly Connected Components: popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS Standard