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TRS Stand 20472 pair #381713037
details
property
value
status
complete
benchmark
22.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n005.star.cs.uiowa.edu
space
Beerendonk_07
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.660242795944 seconds
cpu usage
0.137263591
max memory
4190208.0
stage attributes
key
value
output-size
5892
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 x y) (RULES cond1(true,x,y) -> cond2(gr(y,0),x,y) cond2(false,x,y) -> cond1(gr(x,0),p(x),y) cond2(true,x,y) -> cond2(gr(y,0),x,p(y)) gr(0,x) -> false gr(s(x),0) -> true gr(s(x),s(y)) -> gr(x,y) p(0) -> 0 p(s(x)) -> x ) Problem 1: Innermost Equivalent Processor: -> Rules: cond1(true,x,y) -> cond2(gr(y,0),x,y) cond2(false,x,y) -> cond1(gr(x,0),p(x),y) cond2(true,x,y) -> cond2(gr(y,0),x,p(y)) gr(0,x) -> false gr(s(x),0) -> true gr(s(x),s(y)) -> gr(x,y) p(0) -> 0 p(s(x)) -> x -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: COND1(true,x,y) -> COND2(gr(y,0),x,y) COND1(true,x,y) -> GR(y,0) COND2(false,x,y) -> COND1(gr(x,0),p(x),y) COND2(false,x,y) -> GR(x,0) COND2(false,x,y) -> P(x) COND2(true,x,y) -> COND2(gr(y,0),x,p(y)) COND2(true,x,y) -> GR(y,0) COND2(true,x,y) -> P(y) GR(s(x),s(y)) -> GR(x,y) -> Rules: cond1(true,x,y) -> cond2(gr(y,0),x,y) cond2(false,x,y) -> cond1(gr(x,0),p(x),y) cond2(true,x,y) -> cond2(gr(y,0),x,p(y)) gr(0,x) -> false gr(s(x),0) -> true gr(s(x),s(y)) -> gr(x,y) p(0) -> 0 p(s(x)) -> x Problem 1: SCC Processor: -> Pairs: COND1(true,x,y) -> COND2(gr(y,0),x,y) COND1(true,x,y) -> GR(y,0) COND2(false,x,y) -> COND1(gr(x,0),p(x),y) COND2(false,x,y) -> GR(x,0) COND2(false,x,y) -> P(x) COND2(true,x,y) -> COND2(gr(y,0),x,p(y)) COND2(true,x,y) -> GR(y,0) COND2(true,x,y) -> P(y) GR(s(x),s(y)) -> GR(x,y) -> Rules: cond1(true,x,y) -> cond2(gr(y,0),x,y) cond2(false,x,y) -> cond1(gr(x,0),p(x),y) cond2(true,x,y) -> cond2(gr(y,0),x,p(y)) gr(0,x) -> false gr(s(x),0) -> true gr(s(x),s(y)) -> gr(x,y) p(0) -> 0 p(s(x)) -> x ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: GR(s(x),s(y)) -> GR(x,y) ->->-> Rules: cond1(true,x,y) -> cond2(gr(y,0),x,y) cond2(false,x,y) -> cond1(gr(x,0),p(x),y) cond2(true,x,y) -> cond2(gr(y,0),x,p(y)) gr(0,x) -> false gr(s(x),0) -> true gr(s(x),s(y)) -> gr(x,y) p(0) -> 0 p(s(x)) -> x ->->Cycle: ->->-> Pairs: COND1(true,x,y) -> COND2(gr(y,0),x,y) COND2(false,x,y) -> COND1(gr(x,0),p(x),y) COND2(true,x,y) -> COND2(gr(y,0),x,p(y))
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