details

property	value
status	complete
benchmark	t012.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n071.star.cs.uiowa.edu
space	HirokawaMiddeldorp_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.239464 seconds
cpu usage	0.262253
user time	0.159125
system time	0.103128
max virtual memory	113188.0
max residence set size	7084.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x:S y:S) (RULES f(minus(x:S)) -> minus(minus(minus(f(x:S)))) minus(minus(x:S)) -> x:S minus(*(x:S,y:S)) -> +(minus(minus(minus(x:S))),minus(minus(minus(y:S)))) minus(+(x:S,y:S)) -> *(minus(minus(minus(x:S))),minus(minus(minus(y:S)))) ) Problem 1: Dependency Pairs Processor: -> Pairs: F(minus(x:S)) -> F(x:S) F(minus(x:S)) -> MINUS(f(x:S)) F(minus(x:S)) -> MINUS(minus(f(x:S))) F(minus(x:S)) -> MINUS(minus(minus(f(x:S)))) MINUS(*(x:S,y:S)) -> MINUS(minus(minus(x:S))) MINUS(*(x:S,y:S)) -> MINUS(minus(minus(y:S))) MINUS(*(x:S,y:S)) -> MINUS(minus(x:S)) MINUS(*(x:S,y:S)) -> MINUS(minus(y:S)) MINUS(*(x:S,y:S)) -> MINUS(x:S) MINUS(*(x:S,y:S)) -> MINUS(y:S) MINUS(+(x:S,y:S)) -> MINUS(minus(minus(x:S))) MINUS(+(x:S,y:S)) -> MINUS(minus(minus(y:S))) MINUS(+(x:S,y:S)) -> MINUS(minus(x:S)) MINUS(+(x:S,y:S)) -> MINUS(minus(y:S)) MINUS(+(x:S,y:S)) -> MINUS(x:S) MINUS(+(x:S,y:S)) -> MINUS(y:S) -> Rules: f(minus(x:S)) -> minus(minus(minus(f(x:S)))) minus(minus(x:S)) -> x:S minus(*(x:S,y:S)) -> +(minus(minus(minus(x:S))),minus(minus(minus(y:S)))) minus(+(x:S,y:S)) -> *(minus(minus(minus(x:S))),minus(minus(minus(y:S)))) Problem 1: SCC Processor: -> Pairs: F(minus(x:S)) -> F(x:S) F(minus(x:S)) -> MINUS(f(x:S)) F(minus(x:S)) -> MINUS(minus(f(x:S))) F(minus(x:S)) -> MINUS(minus(minus(f(x:S)))) MINUS(*(x:S,y:S)) -> MINUS(minus(minus(x:S))) MINUS(*(x:S,y:S)) -> MINUS(minus(minus(y:S))) MINUS(*(x:S,y:S)) -> MINUS(minus(x:S)) MINUS(*(x:S,y:S)) -> MINUS(minus(y:S)) MINUS(*(x:S,y:S)) -> MINUS(x:S) MINUS(*(x:S,y:S)) -> MINUS(y:S) MINUS(+(x:S,y:S)) -> MINUS(minus(minus(x:S))) MINUS(+(x:S,y:S)) -> MINUS(minus(minus(y:S))) MINUS(+(x:S,y:S)) -> MINUS(minus(x:S)) MINUS(+(x:S,y:S)) -> MINUS(minus(y:S)) MINUS(+(x:S,y:S)) -> MINUS(x:S) MINUS(+(x:S,y:S)) -> MINUS(y:S) -> Rules: f(minus(x:S)) -> minus(minus(minus(f(x:S)))) minus(minus(x:S)) -> x:S minus(*(x:S,y:S)) -> +(minus(minus(minus(x:S))),minus(minus(minus(y:S)))) minus(+(x:S,y:S)) -> *(minus(minus(minus(x:S))),minus(minus(minus(y:S)))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: MINUS(*(x:S,y:S)) -> MINUS(minus(minus(x:S))) MINUS(*(x:S,y:S)) -> MINUS(minus(minus(y:S))) MINUS(*(x:S,y:S)) -> MINUS(minus(x:S)) MINUS(*(x:S,y:S)) -> MINUS(minus(y:S)) MINUS(*(x:S,y:S)) -> MINUS(x:S) MINUS(*(x:S,y:S)) -> MINUS(y:S) MINUS(+(x:S,y:S)) -> MINUS(minus(minus(x:S))) MINUS(+(x:S,y:S)) -> MINUS(minus(minus(y:S))) MINUS(+(x:S,y:S)) -> MINUS(minus(x:S)) MINUS(+(x:S,y:S)) -> MINUS(minus(y:S)) MINUS(+(x:S,y:S)) -> MINUS(x:S) MINUS(+(x:S,y:S)) -> MINUS(y:S) ->->-> Rules: f(minus(x:S)) -> minus(minus(minus(f(x:S)))) minus(minus(x:S)) -> x:S minus(*(x:S,y:S)) -> +(minus(minus(minus(x:S))),minus(minus(minus(y:S)))) minus(+(x:S,y:S)) -> *(minus(minus(minus(x:S))),minus(minus(minus(y:S)))) ->->Cycle: ->->-> Pairs: F(minus(x:S)) -> F(x:S) ->->-> Rules: f(minus(x:S)) -> minus(minus(minus(f(x:S)))) minus(minus(x:S)) -> x:S minus(*(x:S,y:S)) -> +(minus(minus(minus(x:S))),minus(minus(minus(y:S)))) minus(+(x:S,y:S)) -> *(minus(minus(minus(x:S))),minus(minus(minus(y:S)))) The problem is decomposed in 2 subproblems. Problem 1.1: Reduction Pair Processor: -> Pairs: MINUS(*(x:S,y:S)) -> MINUS(minus(minus(x:S))) popout

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