details

property	value
status	complete
benchmark	378.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n022.star.cs.uiowa.edu
space	COPS

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	20.1282749176 seconds
cpu usage	20.094424796
max memory	5668864.0

stage attributes

key	value
output-size	10459
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 rest:S x:S y:S z1:S z2:S) (RULES cons(x:S,cons(x:S,rest:S)) -> cons(x:S,rest:S) cons(x:S,cons(y:S,rest:S)) -> cons(z1:S,cons(z2:S,rest:S)) | orient(x:S,y:S) ->* pair(z1:S,z2:S) orient(s(x:S),0) -> pair(0,s(x:S)) orient(s(x:S),s(y:S)) -> pair(s(z1:S),s(z2:S)) | orient(x:S,y:S) ->* pair(z1:S,z2:S) ) Problem 1: Valid CTRS Processor: -> Rules: cons(x:S,cons(x:S,rest:S)) -> cons(x:S,rest:S) cons(x:S,cons(y:S,rest:S)) -> cons(z1:S,cons(z2:S,rest:S)) | orient(x:S,y:S) ->* pair(z1:S,z2:S) orient(s(x:S),0) -> pair(0,s(x:S)) orient(s(x:S),s(y:S)) -> pair(s(z1:S),s(z2:S)) | orient(x:S,y:S) ->* pair(z1:S,z2:S) -> The system is a deterministic 3-CTRS. Problem 1: Dependency Pairs Processor: Conditional Termination Problem 1: -> Pairs: CONS(x:S,cons(y:S,rest:S)) -> CONS(z1:S,cons(z2:S,rest:S)) | orient(x:S,y:S) ->* pair(z1:S,z2:S) CONS(x:S,cons(y:S,rest:S)) -> CONS(z2:S,rest:S) | orient(x:S,y:S) ->* pair(z1:S,z2:S) -> QPairs: Empty -> Rules: cons(x:S,cons(x:S,rest:S)) -> cons(x:S,rest:S) cons(x:S,cons(y:S,rest:S)) -> cons(z1:S,cons(z2:S,rest:S)) | orient(x:S,y:S) ->* pair(z1:S,z2:S) orient(s(x:S),0) -> pair(0,s(x:S)) orient(s(x:S),s(y:S)) -> pair(s(z1:S),s(z2:S)) | orient(x:S,y:S) ->* pair(z1:S,z2:S) Conditional Termination Problem 2: -> Pairs: CONS(x:S,cons(y:S,rest:S)) -> ORIENT(x:S,y:S) ORIENT(s(x:S),s(y:S)) -> ORIENT(x:S,y:S) -> QPairs: Empty -> Rules: cons(x:S,cons(x:S,rest:S)) -> cons(x:S,rest:S) cons(x:S,cons(y:S,rest:S)) -> cons(z1:S,cons(z2:S,rest:S)) | orient(x:S,y:S) ->* pair(z1:S,z2:S) orient(s(x:S),0) -> pair(0,s(x:S)) orient(s(x:S),s(y:S)) -> pair(s(z1:S),s(z2:S)) | orient(x:S,y:S) ->* pair(z1:S,z2:S) The problem is decomposed in 2 subproblems. Problem 1.1: SCC Processor: -> Pairs: CONS(x:S,cons(y:S,rest:S)) -> CONS(z1:S,cons(z2:S,rest:S)) | orient(x:S,y:S) ->* pair(z1:S,z2:S) CONS(x:S,cons(y:S,rest:S)) -> CONS(z2:S,rest:S) | orient(x:S,y:S) ->* pair(z1:S,z2:S) -> QPairs: Empty -> Rules: cons(x:S,cons(x:S,rest:S)) -> cons(x:S,rest:S) cons(x:S,cons(y:S,rest:S)) -> cons(z1:S,cons(z2:S,rest:S)) | orient(x:S,y:S) ->* pair(z1:S,z2:S) orient(s(x:S),0) -> pair(0,s(x:S)) orient(s(x:S),s(y:S)) -> pair(s(z1:S),s(z2:S)) | orient(x:S,y:S) ->* pair(z1:S,z2:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: CONS(x:S,cons(y:S,rest:S)) -> CONS(z1:S,cons(z2:S,rest:S)) | orient(x:S,y:S) ->* pair(z1:S,z2:S) CONS(x:S,cons(y:S,rest:S)) -> CONS(z2:S,rest:S) | orient(x:S,y:S) ->* pair(z1:S,z2:S) -> QPairs: Empty ->->-> Rules: cons(x:S,cons(x:S,rest:S)) -> cons(x:S,rest:S) cons(x:S,cons(y:S,rest:S)) -> cons(z1:S,cons(z2:S,rest:S)) | orient(x:S,y:S) ->* pair(z1:S,z2:S) orient(s(x:S),0) -> pair(0,s(x:S)) orient(s(x:S),s(y:S)) -> pair(s(z1:S),s(z2:S)) | orient(x:S,y:S) ->* pair(z1:S,z2:S) Problem 1.1: Reduction Triple Processor: -> Pairs: CONS(x:S,cons(y:S,rest:S)) -> CONS(z1:S,cons(z2:S,rest:S)) | orient(x:S,y:S) ->* pair(z1:S,z2:S) CONS(x:S,cons(y:S,rest:S)) -> CONS(z2:S,rest:S) | orient(x:S,y:S) ->* pair(z1:S,z2:S) -> QPairs: Empty -> Rules: cons(x:S,cons(x:S,rest:S)) -> cons(x:S,rest:S) cons(x:S,cons(y:S,rest:S)) -> cons(z1:S,cons(z2:S,rest:S)) | orient(x:S,y:S) ->* pair(z1:S,z2:S) orient(s(x:S),0) -> pair(0,s(x:S)) orient(s(x:S),s(y:S)) -> pair(s(z1:S),s(z2:S)) | orient(x:S,y:S) ->* pair(z1:S,z2:S) -> Usable rules: cons(x:S,cons(x:S,rest:S)) -> cons(x:S,rest:S) cons(x:S,cons(y:S,rest:S)) -> cons(z1:S,cons(z2:S,rest:S)) | orient(x:S,y:S) ->* pair(z1:S,z2:S) popout

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job log

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actions

all output return to TRS Conditional