details

property	value
status	complete
benchmark	388.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n098.star.cs.uiowa.edu
space	COPS

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0590748786926 seconds
cpu usage	0.01816763
max memory	1650688.0

stage attributes

key	value
output-size	2630
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 z:S) (RULES add(x:S,0) -> x:S add(x:S,s(y:S)) -> s(add(x:S,y:S)) quad(x:S) -> z:S | add(x:S,x:S) ->* y:S, add(y:S,y:S) ->* z:S ) Problem 1: Valid CTRS Processor: -> Rules: add(x:S,0) -> x:S add(x:S,s(y:S)) -> s(add(x:S,y:S)) quad(x:S) -> z:S | add(x:S,x:S) ->* y:S, add(y:S,y:S) ->* z:S -> The system is a deterministic 3-CTRS. Problem 1: Dependency Pairs Processor: Conditional Termination Problem 1: -> Pairs: ADD(x:S,s(y:S)) -> ADD(x:S,y:S) -> QPairs: Empty -> Rules: add(x:S,0) -> x:S add(x:S,s(y:S)) -> s(add(x:S,y:S)) quad(x:S) -> z:S | add(x:S,x:S) ->* y:S, add(y:S,y:S) ->* z:S Conditional Termination Problem 2: -> Pairs: QUAD(x:S) -> ADD(x:S,x:S) QUAD(x:S) -> ADD(y:S,y:S) | add(x:S,x:S) ->* y:S -> QPairs: ADD(x:S,s(y:S)) -> ADD(x:S,y:S) -> Rules: add(x:S,0) -> x:S add(x:S,s(y:S)) -> s(add(x:S,y:S)) quad(x:S) -> z:S | add(x:S,x:S) ->* y:S, add(y:S,y:S) ->* z:S The problem is decomposed in 2 subproblems. Problem 1.1: SCC Processor: -> Pairs: ADD(x:S,s(y:S)) -> ADD(x:S,y:S) -> QPairs: Empty -> Rules: add(x:S,0) -> x:S add(x:S,s(y:S)) -> s(add(x:S,y:S)) quad(x:S) -> z:S | add(x:S,x:S) ->* y:S, add(y:S,y:S) ->* z:S ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: ADD(x:S,s(y:S)) -> ADD(x:S,y:S) -> QPairs: Empty ->->-> Rules: add(x:S,0) -> x:S add(x:S,s(y:S)) -> s(add(x:S,y:S)) quad(x:S) -> z:S | add(x:S,x:S) ->* y:S, add(y:S,y:S) ->* z:S Problem 1.1: Conditional Subterm Processor: -> Pairs: ADD(x:S,s(y:S)) -> ADD(x:S,y:S) -> QPairs: Empty -> Rules: add(x:S,0) -> x:S add(x:S,s(y:S)) -> s(add(x:S,y:S)) quad(x:S) -> z:S | add(x:S,x:S) ->* y:S, add(y:S,y:S) ->* z:S ->Projection: pi(ADD) = 2 Problem 1.1: SCC Processor: -> Pairs: Empty -> QPairs: Empty -> Rules: add(x:S,0) -> x:S add(x:S,s(y:S)) -> s(add(x:S,y:S)) quad(x:S) -> z:S | add(x:S,x:S) ->* y:S, add(y:S,y:S) ->* z:S popout

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