details

property	value
status	complete
benchmark	262.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n144.star.cs.uiowa.edu
space	COPS

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0581710338593 seconds
cpu usage	0.019260024
max memory	1507328.0

stage attributes

key	value
output-size	2516
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 z':S) (RULES f(x:S,y:S) -> z:S | plus(x:S,y:S) ->* plus(z:S,z':S) plus(0,y:S) -> y:S plus(s(x:S),y:S) -> plus(x:S,s(y:S)) ) Problem 1: Valid CTRS Processor: -> Rules: f(x:S,y:S) -> z:S | plus(x:S,y:S) ->* plus(z:S,z':S) plus(0,y:S) -> y:S plus(s(x:S),y:S) -> plus(x:S,s(y:S)) -> The system is a deterministic 3-CTRS. Problem 1: Dependency Pairs Processor: Conditional Termination Problem 1: -> Pairs: PLUS(s(x:S),y:S) -> PLUS(x:S,s(y:S)) -> QPairs: Empty -> Rules: f(x:S,y:S) -> z:S | plus(x:S,y:S) ->* plus(z:S,z':S) plus(0,y:S) -> y:S plus(s(x:S),y:S) -> plus(x:S,s(y:S)) Conditional Termination Problem 2: -> Pairs: F(x:S,y:S) -> PLUS(x:S,y:S) -> QPairs: PLUS(s(x:S),y:S) -> PLUS(x:S,s(y:S)) -> Rules: f(x:S,y:S) -> z:S | plus(x:S,y:S) ->* plus(z:S,z':S) plus(0,y:S) -> y:S plus(s(x:S),y:S) -> plus(x:S,s(y:S)) The problem is decomposed in 2 subproblems. Problem 1.1: SCC Processor: -> Pairs: PLUS(s(x:S),y:S) -> PLUS(x:S,s(y:S)) -> QPairs: Empty -> Rules: f(x:S,y:S) -> z:S | plus(x:S,y:S) ->* plus(z:S,z':S) plus(0,y:S) -> y:S plus(s(x:S),y:S) -> plus(x:S,s(y:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: PLUS(s(x:S),y:S) -> PLUS(x:S,s(y:S)) -> QPairs: Empty ->->-> Rules: f(x:S,y:S) -> z:S | plus(x:S,y:S) ->* plus(z:S,z':S) plus(0,y:S) -> y:S plus(s(x:S),y:S) -> plus(x:S,s(y:S)) Problem 1.1: Conditional Subterm Processor: -> Pairs: PLUS(s(x:S),y:S) -> PLUS(x:S,s(y:S)) -> QPairs: Empty -> Rules: f(x:S,y:S) -> z:S | plus(x:S,y:S) ->* plus(z:S,z':S) plus(0,y:S) -> y:S plus(s(x:S),y:S) -> plus(x:S,s(y:S)) ->Projection: pi(PLUS) = 1 Problem 1.1: SCC Processor: -> Pairs: Empty -> QPairs: Empty -> Rules: f(x:S,y:S) -> z:S | plus(x:S,y:S) ->* plus(z:S,z':S) plus(0,y:S) -> y:S plus(s(x:S),y:S) -> plus(x:S,s(y:S)) ->Strongly Connected Components: popout

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

job log

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actions

all output return to TRS Conditional