details

property	value
status	complete
benchmark	#3.8a.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n170.star.cs.uiowa.edu
space	AG01

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.154737949371 seconds
cpu usage	0.06509873
max memory	4009984.0

stage attributes

key	value
output-size	6028
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) (RULES log(s(0)) -> 0 log(s(s(x:S))) -> s(log(s(quot(x:S,s(s(0)))))) minus(x:S,0) -> x:S minus(x:S,s(y:S)) -> pred(minus(x:S,y:S)) pred(s(x:S)) -> x: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: Innermost Equivalent Processor: -> Rules: log(s(0)) -> 0 log(s(s(x:S))) -> s(log(s(quot(x:S,s(s(0)))))) minus(x:S,0) -> x:S minus(x:S,s(y:S)) -> pred(minus(x:S,y:S)) pred(s(x:S)) -> x:S quot(0,s(y:S)) -> 0 quot(s(x:S),s(y:S)) -> s(quot(minus(x:S,y:S),s(y:S))) -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: LOG(s(s(x:S))) -> LOG(s(quot(x:S,s(s(0))))) LOG(s(s(x:S))) -> QUOT(x:S,s(s(0))) MINUS(x:S,s(y:S)) -> MINUS(x:S,y:S) MINUS(x:S,s(y:S)) -> PRED(minus(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: log(s(0)) -> 0 log(s(s(x:S))) -> s(log(s(quot(x:S,s(s(0)))))) minus(x:S,0) -> x:S minus(x:S,s(y:S)) -> pred(minus(x:S,y:S)) pred(s(x:S)) -> x: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: LOG(s(s(x:S))) -> LOG(s(quot(x:S,s(s(0))))) LOG(s(s(x:S))) -> QUOT(x:S,s(s(0))) MINUS(x:S,s(y:S)) -> MINUS(x:S,y:S) MINUS(x:S,s(y:S)) -> PRED(minus(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: log(s(0)) -> 0 log(s(s(x:S))) -> s(log(s(quot(x:S,s(s(0)))))) minus(x:S,0) -> x:S minus(x:S,s(y:S)) -> pred(minus(x:S,y:S)) pred(s(x:S)) -> x: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: MINUS(x:S,s(y:S)) -> MINUS(x:S,y:S) ->->-> Rules: log(s(0)) -> 0 log(s(s(x:S))) -> s(log(s(quot(x:S,s(s(0)))))) minus(x:S,0) -> x:S minus(x:S,s(y:S)) -> pred(minus(x:S,y:S)) pred(s(x:S)) -> x: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: log(s(0)) -> 0 log(s(s(x:S))) -> s(log(s(quot(x:S,s(s(0)))))) minus(x:S,0) -> x:S minus(x:S,s(y:S)) -> pred(minus(x:S,y:S)) pred(s(x:S)) -> x: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: LOG(s(s(x:S))) -> LOG(s(quot(x:S,s(s(0))))) ->->-> Rules: log(s(0)) -> 0 popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS Standard