details

property	value
status	complete
benchmark	11.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n136.star.cs.uiowa.edu
space	Der95

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0867221355438 seconds
cpu usage	0.02592786
max memory	1941504.0

stage attributes

key	value
output-size	4817
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 v_NonEmpty:S x:S y:S) (RULES D(*(x:S,y:S)) -> +(*(y:S,D(x:S)),*(x:S,D(y:S))) D(+(x:S,y:S)) -> +(D(x:S),D(y:S)) D(-(x:S,y:S)) -> -(D(x:S),D(y:S)) D(constant) -> 0 D(div(x:S,y:S)) -> -(div(D(x:S),y:S),div(*(x:S,D(y:S)),pow(y:S,2))) D(ln(x:S)) -> div(D(x:S),x:S) D(minus(x:S)) -> minus(D(x:S)) D(pow(x:S,y:S)) -> +(*(*(y:S,pow(x:S,-(y:S,1))),D(x:S)),*(*(pow(x:S,y:S),ln(x:S)),D(y:S))) D(t) -> 1 ) Problem 1: Innermost Equivalent Processor: -> Rules: D(*(x:S,y:S)) -> +(*(y:S,D(x:S)),*(x:S,D(y:S))) D(+(x:S,y:S)) -> +(D(x:S),D(y:S)) D(-(x:S,y:S)) -> -(D(x:S),D(y:S)) D(constant) -> 0 D(div(x:S,y:S)) -> -(div(D(x:S),y:S),div(*(x:S,D(y:S)),pow(y:S,2))) D(ln(x:S)) -> div(D(x:S),x:S) D(minus(x:S)) -> minus(D(x:S)) D(pow(x:S,y:S)) -> +(*(*(y:S,pow(x:S,-(y:S,1))),D(x:S)),*(*(pow(x:S,y:S),ln(x:S)),D(y:S))) D(t) -> 1 -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: D#(*(x:S,y:S)) -> D#(x:S) D#(*(x:S,y:S)) -> D#(y:S) D#(+(x:S,y:S)) -> D#(x:S) D#(+(x:S,y:S)) -> D#(y:S) D#(-(x:S,y:S)) -> D#(x:S) D#(-(x:S,y:S)) -> D#(y:S) D#(div(x:S,y:S)) -> D#(x:S) D#(div(x:S,y:S)) -> D#(y:S) D#(ln(x:S)) -> D#(x:S) D#(minus(x:S)) -> D#(x:S) D#(pow(x:S,y:S)) -> D#(x:S) D#(pow(x:S,y:S)) -> D#(y:S) -> Rules: D(*(x:S,y:S)) -> +(*(y:S,D(x:S)),*(x:S,D(y:S))) D(+(x:S,y:S)) -> +(D(x:S),D(y:S)) D(-(x:S,y:S)) -> -(D(x:S),D(y:S)) D(constant) -> 0 D(div(x:S,y:S)) -> -(div(D(x:S),y:S),div(*(x:S,D(y:S)),pow(y:S,2))) D(ln(x:S)) -> div(D(x:S),x:S) D(minus(x:S)) -> minus(D(x:S)) D(pow(x:S,y:S)) -> +(*(*(y:S,pow(x:S,-(y:S,1))),D(x:S)),*(*(pow(x:S,y:S),ln(x:S)),D(y:S))) D(t) -> 1 Problem 1: SCC Processor: -> Pairs: D#(*(x:S,y:S)) -> D#(x:S) D#(*(x:S,y:S)) -> D#(y:S) D#(+(x:S,y:S)) -> D#(x:S) D#(+(x:S,y:S)) -> D#(y:S) D#(-(x:S,y:S)) -> D#(x:S) D#(-(x:S,y:S)) -> D#(y:S) D#(div(x:S,y:S)) -> D#(x:S) D#(div(x:S,y:S)) -> D#(y:S) D#(ln(x:S)) -> D#(x:S) D#(minus(x:S)) -> D#(x:S) D#(pow(x:S,y:S)) -> D#(x:S) D#(pow(x:S,y:S)) -> D#(y:S) -> Rules: D(*(x:S,y:S)) -> +(*(y:S,D(x:S)),*(x:S,D(y:S))) D(+(x:S,y:S)) -> +(D(x:S),D(y:S)) D(-(x:S,y:S)) -> -(D(x:S),D(y:S)) D(constant) -> 0 D(div(x:S,y:S)) -> -(div(D(x:S),y:S),div(*(x:S,D(y:S)),pow(y:S,2))) D(ln(x:S)) -> div(D(x:S),x:S) D(minus(x:S)) -> minus(D(x:S)) D(pow(x:S,y:S)) -> +(*(*(y:S,pow(x:S,-(y:S,1))),D(x:S)),*(*(pow(x:S,y:S),ln(x:S)),D(y:S))) D(t) -> 1 ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: D#(*(x:S,y:S)) -> D#(x:S) D#(*(x:S,y:S)) -> D#(y:S) D#(+(x:S,y:S)) -> D#(x:S) D#(+(x:S,y:S)) -> D#(y:S) D#(-(x:S,y:S)) -> D#(x:S) popout

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