details

property	value
status	complete
benchmark	13.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n178.star.cs.uiowa.edu
space	Der95

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.6997 seconds
cpu usage	0.644794
user time	0.434529
system time	0.210265
max virtual memory	583152.0
max residence set size	6356.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x:S y:S z:S) (RULES *(*(x:S,y:S),z:S) -> *(x:S,*(y:S,z:S)) *(+(y:S,z:S),x:S) -> +(*(x:S,y:S),*(x:S,z:S)) *(x:S,+(y:S,z:S)) -> +(*(x:S,y:S),*(x:S,z:S)) +(+(x:S,y:S),z:S) -> +(x:S,+(y:S,z:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: *#(*(x:S,y:S),z:S) -> *#(x:S,*(y:S,z:S)) *#(*(x:S,y:S),z:S) -> *#(y:S,z:S) *#(+(y:S,z:S),x:S) -> *#(x:S,y:S) *#(+(y:S,z:S),x:S) -> *#(x:S,z:S) *#(+(y:S,z:S),x:S) -> +#(*(x:S,y:S),*(x:S,z:S)) *#(x:S,+(y:S,z:S)) -> *#(x:S,y:S) *#(x:S,+(y:S,z:S)) -> *#(x:S,z:S) *#(x:S,+(y:S,z:S)) -> +#(*(x:S,y:S),*(x:S,z:S)) +#(+(x:S,y:S),z:S) -> +#(x:S,+(y:S,z:S)) +#(+(x:S,y:S),z:S) -> +#(y:S,z:S) -> Rules: *(*(x:S,y:S),z:S) -> *(x:S,*(y:S,z:S)) *(+(y:S,z:S),x:S) -> +(*(x:S,y:S),*(x:S,z:S)) *(x:S,+(y:S,z:S)) -> +(*(x:S,y:S),*(x:S,z:S)) +(+(x:S,y:S),z:S) -> +(x:S,+(y:S,z:S)) Problem 1: SCC Processor: -> Pairs: *#(*(x:S,y:S),z:S) -> *#(x:S,*(y:S,z:S)) *#(*(x:S,y:S),z:S) -> *#(y:S,z:S) *#(+(y:S,z:S),x:S) -> *#(x:S,y:S) *#(+(y:S,z:S),x:S) -> *#(x:S,z:S) *#(+(y:S,z:S),x:S) -> +#(*(x:S,y:S),*(x:S,z:S)) *#(x:S,+(y:S,z:S)) -> *#(x:S,y:S) *#(x:S,+(y:S,z:S)) -> *#(x:S,z:S) *#(x:S,+(y:S,z:S)) -> +#(*(x:S,y:S),*(x:S,z:S)) +#(+(x:S,y:S),z:S) -> +#(x:S,+(y:S,z:S)) +#(+(x:S,y:S),z:S) -> +#(y:S,z:S) -> Rules: *(*(x:S,y:S),z:S) -> *(x:S,*(y:S,z:S)) *(+(y:S,z:S),x:S) -> +(*(x:S,y:S),*(x:S,z:S)) *(x:S,+(y:S,z:S)) -> +(*(x:S,y:S),*(x:S,z:S)) +(+(x:S,y:S),z:S) -> +(x:S,+(y:S,z:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: +#(+(x:S,y:S),z:S) -> +#(x:S,+(y:S,z:S)) +#(+(x:S,y:S),z:S) -> +#(y:S,z:S) ->->-> Rules: *(*(x:S,y:S),z:S) -> *(x:S,*(y:S,z:S)) *(+(y:S,z:S),x:S) -> +(*(x:S,y:S),*(x:S,z:S)) *(x:S,+(y:S,z:S)) -> +(*(x:S,y:S),*(x:S,z:S)) +(+(x:S,y:S),z:S) -> +(x:S,+(y:S,z:S)) ->->Cycle: ->->-> Pairs: *#(*(x:S,y:S),z:S) -> *#(x:S,*(y:S,z:S)) *#(*(x:S,y:S),z:S) -> *#(y:S,z:S) *#(+(y:S,z:S),x:S) -> *#(x:S,y:S) *#(+(y:S,z:S),x:S) -> *#(x:S,z:S) *#(x:S,+(y:S,z:S)) -> *#(x:S,y:S) *#(x:S,+(y:S,z:S)) -> *#(x:S,z:S) ->->-> Rules: *(*(x:S,y:S),z:S) -> *(x:S,*(y:S,z:S)) *(+(y:S,z:S),x:S) -> +(*(x:S,y:S),*(x:S,z:S)) *(x:S,+(y:S,z:S)) -> +(*(x:S,y:S),*(x:S,z:S)) +(+(x:S,y:S),z:S) -> +(x:S,+(y:S,z:S)) The problem is decomposed in 2 subproblems. Problem 1.1: Subterm Processor: -> Pairs: +#(+(x:S,y:S),z:S) -> +#(x:S,+(y:S,z:S)) +#(+(x:S,y:S),z:S) -> +#(y:S,z:S) -> Rules: *(*(x:S,y:S),z:S) -> *(x:S,*(y:S,z:S)) *(+(y:S,z:S),x:S) -> +(*(x:S,y:S),*(x:S,z:S)) *(x:S,+(y:S,z:S)) -> +(*(x:S,y:S),*(x:S,z:S)) +(+(x:S,y:S),z:S) -> +(x:S,+(y:S,z:S)) ->Projection: pi(+#) = 1 Problem 1.1: SCC Processor: -> Pairs: Empty -> Rules: *(*(x:S,y:S),z:S) -> *(x:S,*(y:S,z:S)) *(+(y:S,z:S),x:S) -> +(*(x:S,y:S),*(x:S,z:S)) popout

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job log

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actions

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