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TRS Standard pair #516967151
details
property
value
status
complete
benchmark
#3.57.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n026.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.146358966827 seconds
cpu usage
0.091675157
max memory
4358144.0
stage attributes
key
value
output-size
16455
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 k:S l:S x:S y:S z:S) (RULES app(cons(x:S,l:S),k:S) -> cons(x:S,app(l:S,k:S)) app(nil,k:S) -> k:S app(l:S,nil) -> l:S minus(minus(x:S,y:S),z:S) -> minus(x:S,plus(y:S,z:S)) minus(s(x:S),s(y:S)) -> minus(x:S,y:S) minus(x:S,0) -> x:S plus(0,y:S) -> y:S plus(s(x:S),y:S) -> s(plus(x:S,y:S)) quot(0,s(y:S)) -> 0 quot(s(x:S),s(y:S)) -> s(quot(minus(x:S,y:S),s(y:S))) sum(app(l:S,cons(x:S,cons(y:S,k:S)))) -> sum(app(l:S,sum(cons(x:S,cons(y:S,k:S))))) sum(cons(x:S,cons(y:S,l:S))) -> sum(cons(plus(x:S,y:S),l:S)) sum(cons(x:S,nil)) -> cons(x:S,nil) ) Problem 1: Dependency Pairs Processor: -> Pairs: APP(cons(x:S,l:S),k:S) -> APP(l:S,k:S) MINUS(minus(x:S,y:S),z:S) -> MINUS(x:S,plus(y:S,z:S)) MINUS(minus(x:S,y:S),z:S) -> PLUS(y:S,z:S) MINUS(s(x:S),s(y:S)) -> MINUS(x:S,y:S) PLUS(s(x:S),y:S) -> PLUS(x:S,y:S) QUOT(s(x:S),s(y:S)) -> MINUS(x:S,y:S) QUOT(s(x:S),s(y:S)) -> QUOT(minus(x:S,y:S),s(y:S)) SUM(app(l:S,cons(x:S,cons(y:S,k:S)))) -> APP(l:S,sum(cons(x:S,cons(y:S,k:S)))) SUM(app(l:S,cons(x:S,cons(y:S,k:S)))) -> SUM(app(l:S,sum(cons(x:S,cons(y:S,k:S))))) SUM(app(l:S,cons(x:S,cons(y:S,k:S)))) -> SUM(cons(x:S,cons(y:S,k:S))) SUM(cons(x:S,cons(y:S,l:S))) -> PLUS(x:S,y:S) SUM(cons(x:S,cons(y:S,l:S))) -> SUM(cons(plus(x:S,y:S),l:S)) -> Rules: app(cons(x:S,l:S),k:S) -> cons(x:S,app(l:S,k:S)) app(nil,k:S) -> k:S app(l:S,nil) -> l:S minus(minus(x:S,y:S),z:S) -> minus(x:S,plus(y:S,z:S)) minus(s(x:S),s(y:S)) -> minus(x:S,y:S) minus(x:S,0) -> x:S plus(0,y:S) -> y:S plus(s(x:S),y:S) -> s(plus(x:S,y:S)) quot(0,s(y:S)) -> 0 quot(s(x:S),s(y:S)) -> s(quot(minus(x:S,y:S),s(y:S))) sum(app(l:S,cons(x:S,cons(y:S,k:S)))) -> sum(app(l:S,sum(cons(x:S,cons(y:S,k:S))))) sum(cons(x:S,cons(y:S,l:S))) -> sum(cons(plus(x:S,y:S),l:S)) sum(cons(x:S,nil)) -> cons(x:S,nil) Problem 1: SCC Processor: -> Pairs: APP(cons(x:S,l:S),k:S) -> APP(l:S,k:S) MINUS(minus(x:S,y:S),z:S) -> MINUS(x:S,plus(y:S,z:S)) MINUS(minus(x:S,y:S),z:S) -> PLUS(y:S,z:S) MINUS(s(x:S),s(y:S)) -> MINUS(x:S,y:S) PLUS(s(x:S),y:S) -> PLUS(x:S,y:S) QUOT(s(x:S),s(y:S)) -> MINUS(x:S,y:S) QUOT(s(x:S),s(y:S)) -> QUOT(minus(x:S,y:S),s(y:S)) SUM(app(l:S,cons(x:S,cons(y:S,k:S)))) -> APP(l:S,sum(cons(x:S,cons(y:S,k:S)))) SUM(app(l:S,cons(x:S,cons(y:S,k:S)))) -> SUM(app(l:S,sum(cons(x:S,cons(y:S,k:S))))) SUM(app(l:S,cons(x:S,cons(y:S,k:S)))) -> SUM(cons(x:S,cons(y:S,k:S))) SUM(cons(x:S,cons(y:S,l:S))) -> PLUS(x:S,y:S) SUM(cons(x:S,cons(y:S,l:S))) -> SUM(cons(plus(x:S,y:S),l:S)) -> Rules: app(cons(x:S,l:S),k:S) -> cons(x:S,app(l:S,k:S)) app(nil,k:S) -> k:S app(l:S,nil) -> l:S minus(minus(x:S,y:S),z:S) -> minus(x:S,plus(y:S,z:S)) minus(s(x:S),s(y:S)) -> minus(x:S,y:S) minus(x:S,0) -> x:S plus(0,y:S) -> y:S plus(s(x:S),y:S) -> s(plus(x:S,y:S)) quot(0,s(y:S)) -> 0 quot(s(x:S),s(y:S)) -> s(quot(minus(x:S,y:S),s(y:S))) sum(app(l:S,cons(x:S,cons(y:S,k:S)))) -> sum(app(l:S,sum(cons(x:S,cons(y:S,k:S))))) sum(cons(x:S,cons(y:S,l:S))) -> sum(cons(plus(x:S,y:S),l:S)) sum(cons(x:S,nil)) -> cons(x:S,nil) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: PLUS(s(x:S),y:S) -> PLUS(x:S,y:S) ->->-> Rules: app(cons(x:S,l:S),k:S) -> cons(x:S,app(l:S,k:S)) app(nil,k:S) -> k:S app(l:S,nil) -> l:S minus(minus(x:S,y:S),z:S) -> minus(x:S,plus(y:S,z:S)) minus(s(x:S),s(y:S)) -> minus(x:S,y:S) minus(x:S,0) -> x:S plus(0,y:S) -> y:S
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