details

property	value
status	complete
benchmark	list-sum-prod-bin-assoc-distr-app.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n173.star.cs.uiowa.edu
space	CiME_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.303134 seconds
cpu usage	0.284249
user time	0.165692
system time	0.118557
max virtual memory	113188.0
max residence set size	10536.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S l:S l1:S l2:S x:S y:S z:S) (RULES *(*(x:S,y:S),z:S) -> *(x:S,*(y:S,z:S)) *(0(x:S),y:S) -> 0(*(x:S,y:S)) *(#,x:S) -> # *(1(x:S),y:S) -> +(0(*(x:S,y:S)),y: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)) +(0(x:S),0(y:S)) -> 0(+(x:S,y:S)) +(0(x:S),1(y:S)) -> 1(+(x:S,y:S)) +(#,x:S) -> x:S +(1(x:S),0(y:S)) -> 1(+(x:S,y:S)) +(1(x:S),1(y:S)) -> 0(+(+(x:S,y:S),1(#))) +(x:S,#) -> x:S 0(#) -> # app(cons(x:S,l1:S),l2:S) -> cons(x:S,app(l1:S,l2:S)) app(nil,l:S) -> l:S prod(app(l1:S,l2:S)) -> *(prod(l1:S),prod(l2:S)) prod(cons(x:S,l:S)) -> *(x:S,prod(l:S)) prod(nil) -> 1(#) sum(app(l1:S,l2:S)) -> +(sum(l1:S),sum(l2:S)) 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) *#(0(x:S),y:S) -> *#(x:S,y:S) *#(0(x:S),y:S) -> 0#(*(x:S,y:S)) *#(1(x:S),y:S) -> *#(x:S,y:S) *#(1(x:S),y:S) -> +#(0(*(x:S,y:S)),y:S) *#(1(x:S),y:S) -> 0#(*(x:S,y: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) +#(0(x:S),0(y:S)) -> +#(x:S,y:S) +#(0(x:S),0(y:S)) -> 0#(+(x:S,y:S)) +#(0(x:S),1(y:S)) -> +#(x:S,y:S) +#(1(x:S),0(y:S)) -> +#(x:S,y:S) +#(1(x:S),1(y:S)) -> +#(+(x:S,y:S),1(#)) +#(1(x:S),1(y:S)) -> +#(x:S,y:S) +#(1(x:S),1(y:S)) -> 0#(+(+(x:S,y:S),1(#))) APP(cons(x:S,l1:S),l2:S) -> APP(l1:S,l2:S) PROD(app(l1:S,l2:S)) -> *#(prod(l1:S),prod(l2:S)) PROD(app(l1:S,l2:S)) -> PROD(l1:S) PROD(app(l1:S,l2:S)) -> PROD(l2:S) PROD(cons(x:S,l:S)) -> *#(x:S,prod(l:S)) PROD(cons(x:S,l:S)) -> PROD(l:S) SUM(app(l1:S,l2:S)) -> +#(sum(l1:S),sum(l2:S)) SUM(app(l1:S,l2:S)) -> SUM(l1:S) SUM(app(l1:S,l2:S)) -> SUM(l2:S) SUM(cons(x:S,l:S)) -> +#(x:S,sum(l:S)) SUM(cons(x:S,l:S)) -> SUM(l:S) SUM(nil) -> 0#(#) -> Rules: *(*(x:S,y:S),z:S) -> *(x:S,*(y:S,z:S)) *(0(x:S),y:S) -> 0(*(x:S,y:S)) *(#,x:S) -> # *(1(x:S),y:S) -> +(0(*(x:S,y:S)),y: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)) +(0(x:S),0(y:S)) -> 0(+(x:S,y:S)) +(0(x:S),1(y:S)) -> 1(+(x:S,y:S)) +(#,x:S) -> x:S +(1(x:S),0(y:S)) -> 1(+(x:S,y:S)) +(1(x:S),1(y:S)) -> 0(+(+(x:S,y:S),1(#))) +(x:S,#) -> x:S 0(#) -> # app(cons(x:S,l1:S),l2:S) -> cons(x:S,app(l1:S,l2:S)) app(nil,l:S) -> l:S prod(app(l1:S,l2:S)) -> *(prod(l1:S),prod(l2:S)) prod(cons(x:S,l:S)) -> *(x:S,prod(l:S)) prod(nil) -> 1(#) sum(app(l1:S,l2:S)) -> +(sum(l1:S),sum(l2:S)) 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) *#(0(x:S),y:S) -> *#(x:S,y:S) *#(0(x:S),y:S) -> 0#(*(x:S,y:S)) *#(1(x:S),y:S) -> *#(x:S,y:S) *#(1(x:S),y:S) -> +#(0(*(x:S,y:S)),y:S) *#(1(x:S),y:S) -> 0#(*(x:S,y:S)) *#(x:S,+(y:S,z:S)) -> *#(x:S,y:S) *#(x:S,+(y:S,z:S)) -> *#(x:S,z:S) popout

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

job log

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actions

all output return to TRS Standard