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TRS Standard pair #516967041
details
property
value
status
complete
benchmark
#3.40.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n028.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
62.8825311661 seconds
cpu usage
61.9474667
max memory
1.4364672E7
stage attributes
key
value
output-size
14761
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 y:S z:S) (RULES minus(s(x:S),s(y:S)) -> minus(x:S,y:S) minus(x:S,0) -> x:S plus(minus(x:S,s(0)),minus(y:S,s(s(z:S)))) -> plus(minus(y:S,s(s(z:S))),minus(x:S,s(0))) plus(plus(x:S,s(0)),plus(y:S,s(s(z:S)))) -> plus(plus(y:S,s(s(z:S))),plus(x:S,s(0))) 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))) ) Problem 1: Dependency Pairs Processor: -> Pairs: MINUS(s(x:S),s(y:S)) -> MINUS(x:S,y:S) PLUS(minus(x:S,s(0)),minus(y:S,s(s(z:S)))) -> PLUS(minus(y:S,s(s(z:S))),minus(x:S,s(0))) PLUS(plus(x:S,s(0)),plus(y:S,s(s(z:S)))) -> PLUS(plus(y:S,s(s(z:S))),plus(x:S,s(0))) 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)) -> Rules: minus(s(x:S),s(y:S)) -> minus(x:S,y:S) minus(x:S,0) -> x:S plus(minus(x:S,s(0)),minus(y:S,s(s(z:S)))) -> plus(minus(y:S,s(s(z:S))),minus(x:S,s(0))) plus(plus(x:S,s(0)),plus(y:S,s(s(z:S)))) -> plus(plus(y:S,s(s(z:S))),plus(x:S,s(0))) 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))) Problem 1: SCC Processor: -> Pairs: MINUS(s(x:S),s(y:S)) -> MINUS(x:S,y:S) PLUS(minus(x:S,s(0)),minus(y:S,s(s(z:S)))) -> PLUS(minus(y:S,s(s(z:S))),minus(x:S,s(0))) PLUS(plus(x:S,s(0)),plus(y:S,s(s(z:S)))) -> PLUS(plus(y:S,s(s(z:S))),plus(x:S,s(0))) 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)) -> Rules: minus(s(x:S),s(y:S)) -> minus(x:S,y:S) minus(x:S,0) -> x:S plus(minus(x:S,s(0)),minus(y:S,s(s(z:S)))) -> plus(minus(y:S,s(s(z:S))),minus(x:S,s(0))) plus(plus(x:S,s(0)),plus(y:S,s(s(z:S)))) -> plus(plus(y:S,s(s(z:S))),plus(x:S,s(0))) 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))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: PLUS(minus(x:S,s(0)),minus(y:S,s(s(z:S)))) -> PLUS(minus(y:S,s(s(z:S))),minus(x:S,s(0))) PLUS(plus(x:S,s(0)),plus(y:S,s(s(z:S)))) -> PLUS(plus(y:S,s(s(z:S))),plus(x:S,s(0))) PLUS(s(x:S),y:S) -> PLUS(x:S,y:S) ->->-> Rules: minus(s(x:S),s(y:S)) -> minus(x:S,y:S) minus(x:S,0) -> x:S plus(minus(x:S,s(0)),minus(y:S,s(s(z:S)))) -> plus(minus(y:S,s(s(z:S))),minus(x:S,s(0))) plus(plus(x:S,s(0)),plus(y:S,s(s(z:S)))) -> plus(plus(y:S,s(s(z:S))),plus(x:S,s(0))) 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))) ->->Cycle: ->->-> Pairs: MINUS(s(x:S),s(y:S)) -> MINUS(x:S,y:S) ->->-> Rules: minus(s(x:S),s(y:S)) -> minus(x:S,y:S) minus(x:S,0) -> x:S plus(minus(x:S,s(0)),minus(y:S,s(s(z:S)))) -> plus(minus(y:S,s(s(z:S))),minus(x:S,s(0))) plus(plus(x:S,s(0)),plus(y:S,s(s(z:S)))) -> plus(plus(y:S,s(s(z:S))),plus(x:S,s(0))) 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))) ->->Cycle: ->->-> Pairs: QUOT(s(x:S),s(y:S)) -> QUOT(minus(x:S,y:S),s(y:S)) ->->-> Rules: minus(s(x:S),s(y:S)) -> minus(x:S,y:S) minus(x:S,0) -> x:S plus(minus(x:S,s(0)),minus(y:S,s(s(z:S)))) -> plus(minus(y:S,s(s(z:S))),minus(x:S,s(0))) plus(plus(x:S,s(0)),plus(y:S,s(s(z:S)))) -> plus(plus(y:S,s(s(z:S))),plus(x:S,s(0))) 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)))
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