details

property	value
status	complete
benchmark	gcd.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n042.star.cs.uiowa.edu
space	Mixed_TRS

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.106688976288 seconds
cpu usage	0.03983131
max memory	3817472.0

stage attributes

key	value
output-size	7023
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 x y) (RULES -(s(x),s(y)) -> -(x,y) -(x,0) -> x gcd(0,s(x)) -> s(x) gcd(s(x),0) -> s(x) gcd(s(x),s(y)) -> gcd(-(max(x,y),min(x,y)),s(min(x,y))) max(0,y) -> y max(s(x),s(y)) -> s(max(x,y)) max(x,0) -> x min(0,y) -> 0 min(s(x),s(y)) -> s(min(x,y)) min(x,0) -> 0 ) Problem 1: Innermost Equivalent Processor: -> Rules: -(s(x),s(y)) -> -(x,y) -(x,0) -> x gcd(0,s(x)) -> s(x) gcd(s(x),0) -> s(x) gcd(s(x),s(y)) -> gcd(-(max(x,y),min(x,y)),s(min(x,y))) max(0,y) -> y max(s(x),s(y)) -> s(max(x,y)) max(x,0) -> x min(0,y) -> 0 min(s(x),s(y)) -> s(min(x,y)) min(x,0) -> 0 -> 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) GCD(s(x),s(y)) -> -#(max(x,y),min(x,y)) GCD(s(x),s(y)) -> GCD(-(max(x,y),min(x,y)),s(min(x,y))) GCD(s(x),s(y)) -> MAX(x,y) GCD(s(x),s(y)) -> MIN(x,y) MAX(s(x),s(y)) -> MAX(x,y) MIN(s(x),s(y)) -> MIN(x,y) -> Rules: -(s(x),s(y)) -> -(x,y) -(x,0) -> x gcd(0,s(x)) -> s(x) gcd(s(x),0) -> s(x) gcd(s(x),s(y)) -> gcd(-(max(x,y),min(x,y)),s(min(x,y))) max(0,y) -> y max(s(x),s(y)) -> s(max(x,y)) max(x,0) -> x min(0,y) -> 0 min(s(x),s(y)) -> s(min(x,y)) min(x,0) -> 0 Problem 1: SCC Processor: -> Pairs: -#(s(x),s(y)) -> -#(x,y) GCD(s(x),s(y)) -> -#(max(x,y),min(x,y)) GCD(s(x),s(y)) -> GCD(-(max(x,y),min(x,y)),s(min(x,y))) GCD(s(x),s(y)) -> MAX(x,y) GCD(s(x),s(y)) -> MIN(x,y) MAX(s(x),s(y)) -> MAX(x,y) MIN(s(x),s(y)) -> MIN(x,y) -> Rules: -(s(x),s(y)) -> -(x,y) -(x,0) -> x gcd(0,s(x)) -> s(x) gcd(s(x),0) -> s(x) gcd(s(x),s(y)) -> gcd(-(max(x,y),min(x,y)),s(min(x,y))) max(0,y) -> y max(s(x),s(y)) -> s(max(x,y)) max(x,0) -> x min(0,y) -> 0 min(s(x),s(y)) -> s(min(x,y)) min(x,0) -> 0 ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: MIN(s(x),s(y)) -> MIN(x,y) ->->-> Rules: -(s(x),s(y)) -> -(x,y) -(x,0) -> x gcd(0,s(x)) -> s(x) gcd(s(x),0) -> s(x) gcd(s(x),s(y)) -> gcd(-(max(x,y),min(x,y)),s(min(x,y))) popout

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

job log

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actions

all output return to TRS Stand 20472