details

property	value
status	complete
benchmark	bn129.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n175.star.cs.uiowa.edu
space	Rubio_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.14145 seconds
cpu usage	0.153756
user time	0.074301
system time	0.079455
max virtual memory	113188.0
max residence set size	5832.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S X:S X1:S X2:S X3:S X4:S Y:S Z:S) (RULES plus(s(X:S),plus(Y:S,Z:S)) -> plus(X:S,plus(s(s(Y:S)),Z:S)) plus(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> plus(X1:S,plus(X3:S,plus(X2:S,X4:S))) ) Problem 1: Dependency Pairs Processor: -> Pairs: PLUS(s(X:S),plus(Y:S,Z:S)) -> PLUS(s(s(Y:S)),Z:S) PLUS(s(X:S),plus(Y:S,Z:S)) -> PLUS(X:S,plus(s(s(Y:S)),Z:S)) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X1:S,plus(X3:S,plus(X2:S,X4:S))) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X2:S,X4:S) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X3:S,plus(X2:S,X4:S)) -> Rules: plus(s(X:S),plus(Y:S,Z:S)) -> plus(X:S,plus(s(s(Y:S)),Z:S)) plus(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> plus(X1:S,plus(X3:S,plus(X2:S,X4:S))) Problem 1: SCC Processor: -> Pairs: PLUS(s(X:S),plus(Y:S,Z:S)) -> PLUS(s(s(Y:S)),Z:S) PLUS(s(X:S),plus(Y:S,Z:S)) -> PLUS(X:S,plus(s(s(Y:S)),Z:S)) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X1:S,plus(X3:S,plus(X2:S,X4:S))) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X2:S,X4:S) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X3:S,plus(X2:S,X4:S)) -> Rules: plus(s(X:S),plus(Y:S,Z:S)) -> plus(X:S,plus(s(s(Y:S)),Z:S)) plus(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> plus(X1:S,plus(X3:S,plus(X2:S,X4:S))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: PLUS(s(X:S),plus(Y:S,Z:S)) -> PLUS(s(s(Y:S)),Z:S) PLUS(s(X:S),plus(Y:S,Z:S)) -> PLUS(X:S,plus(s(s(Y:S)),Z:S)) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X1:S,plus(X3:S,plus(X2:S,X4:S))) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X2:S,X4:S) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X3:S,plus(X2:S,X4:S)) ->->-> Rules: plus(s(X:S),plus(Y:S,Z:S)) -> plus(X:S,plus(s(s(Y:S)),Z:S)) plus(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> plus(X1:S,plus(X3:S,plus(X2:S,X4:S))) Problem 1: Reduction Pair Processor: -> Pairs: PLUS(s(X:S),plus(Y:S,Z:S)) -> PLUS(s(s(Y:S)),Z:S) PLUS(s(X:S),plus(Y:S,Z:S)) -> PLUS(X:S,plus(s(s(Y:S)),Z:S)) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X1:S,plus(X3:S,plus(X2:S,X4:S))) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X2:S,X4:S) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X3:S,plus(X2:S,X4:S)) -> Rules: plus(s(X:S),plus(Y:S,Z:S)) -> plus(X:S,plus(s(s(Y:S)),Z:S)) plus(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> plus(X1:S,plus(X3:S,plus(X2:S,X4:S))) -> Usable rules: plus(s(X:S),plus(Y:S,Z:S)) -> plus(X:S,plus(s(s(Y:S)),Z:S)) plus(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> plus(X1:S,plus(X3:S,plus(X2:S,X4:S))) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [plus](X1,X2) = 2.X1 + X2 + 2 [s](X) = X [PLUS](X1,X2) = 2.X1 + X2 Problem 1: SCC Processor: -> Pairs: PLUS(s(X:S),plus(Y:S,Z:S)) -> PLUS(X:S,plus(s(s(Y:S)),Z:S)) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X1:S,plus(X3:S,plus(X2:S,X4:S))) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X2:S,X4:S) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X3:S,plus(X2:S,X4:S)) -> Rules: plus(s(X:S),plus(Y:S,Z:S)) -> plus(X:S,plus(s(s(Y:S)),Z:S)) plus(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> plus(X1:S,plus(X3:S,plus(X2:S,X4:S))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: PLUS(s(X:S),plus(Y:S,Z:S)) -> PLUS(X:S,plus(s(s(Y:S)),Z:S)) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X1:S,plus(X3:S,plus(X2:S,X4:S))) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X2:S,X4:S) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X3:S,plus(X2:S,X4:S)) ->->-> Rules: plus(s(X:S),plus(Y:S,Z:S)) -> plus(X:S,plus(s(s(Y:S)),Z:S)) plus(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> plus(X1:S,plus(X3:S,plus(X2:S,X4:S))) Problem 1: popout

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