details

property	value
status	complete
benchmark	list-sum-prod-assoc.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	CiME_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.022998 seconds
cpu usage	0.023512
user time	0.011774
system time	0.011738
max virtual memory	113188.0
max residence set size	5768.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S l:S x:S y:S z:S) (RULES *(*(x:S,y:S),z:S) -> *(x:S,*(y:S,z:S)) *(0,x:S) -> 0 *(s(x:S),s(y:S)) -> s(+(*(x:S,y:S),+(x:S,y:S))) *(x:S,0) -> 0 +(+(x:S,y:S),z:S) -> +(x:S,+(y:S,z:S)) +(0,x:S) -> x:S +(s(x:S),s(y:S)) -> s(s(+(x:S,y:S))) +(x:S,0) -> x:S prod(cons(x:S,l:S)) -> *(x:S,prod(l:S)) prod(nil) -> s(0) sum(cons(x:S,l:S)) -> +(x:S,sum(l:S)) sum(nil) -> 0 ) 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) *#(s(x:S),s(y:S)) -> *#(x:S,y:S) *#(s(x:S),s(y:S)) -> +#(*(x:S,y:S),+(x:S,y:S)) *#(s(x:S),s(y:S)) -> +#(x:S,y:S) +#(+(x:S,y:S),z:S) -> +#(x:S,+(y:S,z:S)) +#(+(x:S,y:S),z:S) -> +#(y:S,z:S) +#(s(x:S),s(y:S)) -> +#(x:S,y:S) PROD(cons(x:S,l:S)) -> *#(x:S,prod(l:S)) PROD(cons(x:S,l:S)) -> PROD(l:S) SUM(cons(x:S,l:S)) -> +#(x:S,sum(l:S)) SUM(cons(x:S,l:S)) -> SUM(l:S) -> Rules: *(*(x:S,y:S),z:S) -> *(x:S,*(y:S,z:S)) *(0,x:S) -> 0 *(s(x:S),s(y:S)) -> s(+(*(x:S,y:S),+(x:S,y:S))) *(x:S,0) -> 0 +(+(x:S,y:S),z:S) -> +(x:S,+(y:S,z:S)) +(0,x:S) -> x:S +(s(x:S),s(y:S)) -> s(s(+(x:S,y:S))) +(x:S,0) -> x:S prod(cons(x:S,l:S)) -> *(x:S,prod(l:S)) prod(nil) -> s(0) sum(cons(x:S,l:S)) -> +(x:S,sum(l:S)) sum(nil) -> 0 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) *#(s(x:S),s(y:S)) -> *#(x:S,y:S) *#(s(x:S),s(y:S)) -> +#(*(x:S,y:S),+(x:S,y:S)) *#(s(x:S),s(y:S)) -> +#(x:S,y:S) +#(+(x:S,y:S),z:S) -> +#(x:S,+(y:S,z:S)) +#(+(x:S,y:S),z:S) -> +#(y:S,z:S) +#(s(x:S),s(y:S)) -> +#(x:S,y:S) PROD(cons(x:S,l:S)) -> *#(x:S,prod(l:S)) PROD(cons(x:S,l:S)) -> PROD(l:S) SUM(cons(x:S,l:S)) -> +#(x:S,sum(l:S)) SUM(cons(x:S,l:S)) -> SUM(l:S) -> Rules: *(*(x:S,y:S),z:S) -> *(x:S,*(y:S,z:S)) *(0,x:S) -> 0 *(s(x:S),s(y:S)) -> s(+(*(x:S,y:S),+(x:S,y:S))) *(x:S,0) -> 0 +(+(x:S,y:S),z:S) -> +(x:S,+(y:S,z:S)) +(0,x:S) -> x:S +(s(x:S),s(y:S)) -> s(s(+(x:S,y:S))) +(x:S,0) -> x:S prod(cons(x:S,l:S)) -> *(x:S,prod(l:S)) prod(nil) -> s(0) sum(cons(x:S,l:S)) -> +(x:S,sum(l:S)) sum(nil) -> 0 ->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) +#(s(x:S),s(y:S)) -> +#(x:S,y:S) ->->-> Rules: *(*(x:S,y:S),z:S) -> *(x:S,*(y:S,z:S)) *(0,x:S) -> 0 *(s(x:S),s(y:S)) -> s(+(*(x:S,y:S),+(x:S,y:S))) *(x:S,0) -> 0 +(+(x:S,y:S),z:S) -> +(x:S,+(y:S,z:S)) +(0,x:S) -> x:S +(s(x:S),s(y:S)) -> s(s(+(x:S,y:S))) +(x:S,0) -> x:S prod(cons(x:S,l:S)) -> *(x:S,prod(l:S)) prod(nil) -> s(0) sum(cons(x:S,l:S)) -> +(x:S,sum(l:S)) sum(nil) -> 0 ->->Cycle: ->->-> Pairs: popout

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

job log

popout

actions

all output return to TRS Standard