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TRS Stand 20472 pair #381712163
details
property
value
status
complete
benchmark
t014.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n036.star.cs.uiowa.edu
space
HirokawaMiddeldorp_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0477879047394 seconds
cpu usage
0.030117753
max memory
3436544.0
stage attributes
key
value
output-size
5382
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR x y) (RULES -(0,s(y)) -> 0 -(s(x),s(y)) -> -(x,y) -(x,0) -> x div(0,y) -> 0 div(s(x),s(y)) -> if(lt(x,y),0,s(div(-(x,y),s(y)))) div(x,0) -> 0 if(false,x,y) -> y if(true,x,y) -> x lt(0,s(y)) -> true lt(s(x),s(y)) -> lt(x,y) lt(x,0) -> false ) Problem 1: Innermost Equivalent Processor: -> Rules: -(0,s(y)) -> 0 -(s(x),s(y)) -> -(x,y) -(x,0) -> x div(0,y) -> 0 div(s(x),s(y)) -> if(lt(x,y),0,s(div(-(x,y),s(y)))) div(x,0) -> 0 if(false,x,y) -> y if(true,x,y) -> x lt(0,s(y)) -> true lt(s(x),s(y)) -> lt(x,y) lt(x,0) -> false -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: -#(s(x),s(y)) -> -#(x,y) DIV(s(x),s(y)) -> -#(x,y) DIV(s(x),s(y)) -> DIV(-(x,y),s(y)) DIV(s(x),s(y)) -> IF(lt(x,y),0,s(div(-(x,y),s(y)))) DIV(s(x),s(y)) -> LT(x,y) LT(s(x),s(y)) -> LT(x,y) -> Rules: -(0,s(y)) -> 0 -(s(x),s(y)) -> -(x,y) -(x,0) -> x div(0,y) -> 0 div(s(x),s(y)) -> if(lt(x,y),0,s(div(-(x,y),s(y)))) div(x,0) -> 0 if(false,x,y) -> y if(true,x,y) -> x lt(0,s(y)) -> true lt(s(x),s(y)) -> lt(x,y) lt(x,0) -> false Problem 1: SCC Processor: -> Pairs: -#(s(x),s(y)) -> -#(x,y) DIV(s(x),s(y)) -> -#(x,y) DIV(s(x),s(y)) -> DIV(-(x,y),s(y)) DIV(s(x),s(y)) -> IF(lt(x,y),0,s(div(-(x,y),s(y)))) DIV(s(x),s(y)) -> LT(x,y) LT(s(x),s(y)) -> LT(x,y) -> Rules: -(0,s(y)) -> 0 -(s(x),s(y)) -> -(x,y) -(x,0) -> x div(0,y) -> 0 div(s(x),s(y)) -> if(lt(x,y),0,s(div(-(x,y),s(y)))) div(x,0) -> 0 if(false,x,y) -> y if(true,x,y) -> x lt(0,s(y)) -> true lt(s(x),s(y)) -> lt(x,y) lt(x,0) -> false ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: LT(s(x),s(y)) -> LT(x,y) ->->-> Rules: -(0,s(y)) -> 0 -(s(x),s(y)) -> -(x,y) -(x,0) -> x div(0,y) -> 0 div(s(x),s(y)) -> if(lt(x,y),0,s(div(-(x,y),s(y)))) div(x,0) -> 0 if(false,x,y) -> y
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