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TRS Standard pair #516963996
details
property
value
status
complete
benchmark
10.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n010.star.cs.uiowa.edu
space
Various_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.13719201088 seconds
cpu usage
0.094549247
max memory
4681728.0
stage attributes
key
value
output-size
18389
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S x:S xs:S y:S ys:S) (RULES +(0,y:S) -> y:S +(s(x:S),y:S) -> s(+(x:S,y:S)) ++(:(x:S,xs:S),ys:S) -> :(x:S,++(xs:S,ys:S)) ++(nil,ys:S) -> ys:S -(0,s(y:S)) -> 0 -(s(x:S),s(y:S)) -> -(x:S,y:S) -(x:S,0) -> x:S avg(xs:S) -> quot(hd(sum(xs:S)),length(xs:S)) hd(:(x:S,xs:S)) -> x:S length(:(x:S,xs:S)) -> s(length(xs:S)) length(nil) -> 0 quot(0,s(y:S)) -> 0 quot(s(x:S),s(y:S)) -> s(quot(-(x:S,y:S),s(y:S))) sum(++(xs:S,:(x:S,:(y:S,ys:S)))) -> sum(++(xs:S,sum(:(x:S,:(y:S,ys:S))))) sum(:(x:S,:(y:S,xs:S))) -> sum(:(+(x:S,y:S),xs:S)) sum(:(x:S,nil)) -> :(x:S,nil) ) Problem 1: Dependency Pairs Processor: -> Pairs: +#(s(x:S),y:S) -> +#(x:S,y:S) ++#(:(x:S,xs:S),ys:S) -> ++#(xs:S,ys:S) -#(s(x:S),s(y:S)) -> -#(x:S,y:S) AVG(xs:S) -> HD(sum(xs:S)) AVG(xs:S) -> LENGTH(xs:S) AVG(xs:S) -> QUOT(hd(sum(xs:S)),length(xs:S)) AVG(xs:S) -> SUM(xs:S) LENGTH(:(x:S,xs:S)) -> LENGTH(xs:S) QUOT(s(x:S),s(y:S)) -> -#(x:S,y:S) QUOT(s(x:S),s(y:S)) -> QUOT(-(x:S,y:S),s(y:S)) SUM(++(xs:S,:(x:S,:(y:S,ys:S)))) -> ++#(xs:S,sum(:(x:S,:(y:S,ys:S)))) SUM(++(xs:S,:(x:S,:(y:S,ys:S)))) -> SUM(++(xs:S,sum(:(x:S,:(y:S,ys:S))))) SUM(++(xs:S,:(x:S,:(y:S,ys:S)))) -> SUM(:(x:S,:(y:S,ys:S))) SUM(:(x:S,:(y:S,xs:S))) -> +#(x:S,y:S) SUM(:(x:S,:(y:S,xs:S))) -> SUM(:(+(x:S,y:S),xs:S)) -> Rules: +(0,y:S) -> y:S +(s(x:S),y:S) -> s(+(x:S,y:S)) ++(:(x:S,xs:S),ys:S) -> :(x:S,++(xs:S,ys:S)) ++(nil,ys:S) -> ys:S -(0,s(y:S)) -> 0 -(s(x:S),s(y:S)) -> -(x:S,y:S) -(x:S,0) -> x:S avg(xs:S) -> quot(hd(sum(xs:S)),length(xs:S)) hd(:(x:S,xs:S)) -> x:S length(:(x:S,xs:S)) -> s(length(xs:S)) length(nil) -> 0 quot(0,s(y:S)) -> 0 quot(s(x:S),s(y:S)) -> s(quot(-(x:S,y:S),s(y:S))) sum(++(xs:S,:(x:S,:(y:S,ys:S)))) -> sum(++(xs:S,sum(:(x:S,:(y:S,ys:S))))) sum(:(x:S,:(y:S,xs:S))) -> sum(:(+(x:S,y:S),xs:S)) sum(:(x:S,nil)) -> :(x:S,nil) Problem 1: SCC Processor: -> Pairs: +#(s(x:S),y:S) -> +#(x:S,y:S) ++#(:(x:S,xs:S),ys:S) -> ++#(xs:S,ys:S) -#(s(x:S),s(y:S)) -> -#(x:S,y:S) AVG(xs:S) -> HD(sum(xs:S)) AVG(xs:S) -> LENGTH(xs:S) AVG(xs:S) -> QUOT(hd(sum(xs:S)),length(xs:S)) AVG(xs:S) -> SUM(xs:S) LENGTH(:(x:S,xs:S)) -> LENGTH(xs:S) QUOT(s(x:S),s(y:S)) -> -#(x:S,y:S) QUOT(s(x:S),s(y:S)) -> QUOT(-(x:S,y:S),s(y:S)) SUM(++(xs:S,:(x:S,:(y:S,ys:S)))) -> ++#(xs:S,sum(:(x:S,:(y:S,ys:S)))) SUM(++(xs:S,:(x:S,:(y:S,ys:S)))) -> SUM(++(xs:S,sum(:(x:S,:(y:S,ys:S))))) SUM(++(xs:S,:(x:S,:(y:S,ys:S)))) -> SUM(:(x:S,:(y:S,ys:S))) SUM(:(x:S,:(y:S,xs:S))) -> +#(x:S,y:S) SUM(:(x:S,:(y:S,xs:S))) -> SUM(:(+(x:S,y:S),xs:S)) -> Rules: +(0,y:S) -> y:S +(s(x:S),y:S) -> s(+(x:S,y:S)) ++(:(x:S,xs:S),ys:S) -> :(x:S,++(xs:S,ys:S)) ++(nil,ys:S) -> ys:S -(0,s(y:S)) -> 0 -(s(x:S),s(y:S)) -> -(x:S,y:S) -(x:S,0) -> x:S avg(xs:S) -> quot(hd(sum(xs:S)),length(xs:S)) hd(:(x:S,xs:S)) -> x:S length(:(x:S,xs:S)) -> s(length(xs:S)) length(nil) -> 0 quot(0,s(y:S)) -> 0 quot(s(x:S),s(y:S)) -> s(quot(-(x:S,y:S),s(y:S)))
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