details

property	value
status	complete
benchmark	353.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n064.star.cs.uiowa.edu
space	COPS

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	171.952331066 seconds
cpu usage	171.772548812
max memory	1.56663808E8

stage attributes

key	value
output-size	20483
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 v_NonEmpty:S v:S w:S ws:S x':S xs:S xs':S y:S y':S ys:S ys':S z:S zs:S) (RULES get(cons(x':S,xs':S)) -> tp2(y:S,cons(x':S,zs:S)) | get(xs':S) ->* tp2(y:S,zs:S) get(cons(y:S,ys:S)) -> tp2(y:S,ys:S) ssp'(cons(x':S,xs':S),v:S) -> cons(y':S,ys':S) | get(xs':S) ->* tp2(y':S,zs:S), sub(v:S,y':S) ->* w:S, ssp'(cons(x':S,zs:S),w:S) ->* ys':S ssp'(cons(y':S,ws:S),v:S) -> cons(y':S,ys':S) | sub(v:S,y':S) ->* w:S, ssp'(ws:S,w:S) ->* ys':S ssp'(xs:S,0) -> nil sub(s(v:S),s(w:S)) -> z:S | sub(v:S,w:S) ->* z:S sub(z:S,0) -> z:S ) Problem 1: Valid CTRS Processor: -> Rules: get(cons(x':S,xs':S)) -> tp2(y:S,cons(x':S,zs:S)) | get(xs':S) ->* tp2(y:S,zs:S) get(cons(y:S,ys:S)) -> tp2(y:S,ys:S) ssp'(cons(x':S,xs':S),v:S) -> cons(y':S,ys':S) | get(xs':S) ->* tp2(y':S,zs:S), sub(v:S,y':S) ->* w:S, ssp'(cons(x':S,zs:S),w:S) ->* ys':S ssp'(cons(y':S,ws:S),v:S) -> cons(y':S,ys':S) | sub(v:S,y':S) ->* w:S, ssp'(ws:S,w:S) ->* ys':S ssp'(xs:S,0) -> nil sub(s(v:S),s(w:S)) -> z:S | sub(v:S,w:S) ->* z:S sub(z:S,0) -> z:S -> The system is a deterministic 3-CTRS. Problem 1: Dependency Pairs Processor: Conditional Termination Problem 1: -> Pairs: Empty -> QPairs: Empty -> Rules: get(cons(x':S,xs':S)) -> tp2(y:S,cons(x':S,zs:S)) | get(xs':S) ->* tp2(y:S,zs:S) get(cons(y:S,ys:S)) -> tp2(y:S,ys:S) ssp'(cons(x':S,xs':S),v:S) -> cons(y':S,ys':S) | get(xs':S) ->* tp2(y':S,zs:S), sub(v:S,y':S) ->* w:S, ssp'(cons(x':S,zs:S),w:S) ->* ys':S ssp'(cons(y':S,ws:S),v:S) -> cons(y':S,ys':S) | sub(v:S,y':S) ->* w:S, ssp'(ws:S,w:S) ->* ys':S ssp'(xs:S,0) -> nil sub(s(v:S),s(w:S)) -> z:S | sub(v:S,w:S) ->* z:S sub(z:S,0) -> z:S Conditional Termination Problem 2: -> Pairs: GET(cons(x':S,xs':S)) -> GET(xs':S) SSP'(cons(x':S,xs':S),v:S) -> GET(xs':S) SSP'(cons(x':S,xs':S),v:S) -> SSP'(cons(x':S,zs:S),w:S) | get(xs':S) ->* tp2(y':S,zs:S), sub(v:S,y':S) ->* w:S SSP'(cons(x':S,xs':S),v:S) -> SUB(v:S,y':S) | get(xs':S) ->* tp2(y':S,zs:S) SSP'(cons(y':S,ws:S),v:S) -> SSP'(ws:S,w:S) | sub(v:S,y':S) ->* w:S SSP'(cons(y':S,ws:S),v:S) -> SUB(v:S,y':S) SUB(s(v:S),s(w:S)) -> SUB(v:S,w:S) -> QPairs: Empty -> Rules: get(cons(x':S,xs':S)) -> tp2(y:S,cons(x':S,zs:S)) | get(xs':S) ->* tp2(y:S,zs:S) get(cons(y:S,ys:S)) -> tp2(y:S,ys:S) ssp'(cons(x':S,xs':S),v:S) -> cons(y':S,ys':S) | get(xs':S) ->* tp2(y':S,zs:S), sub(v:S,y':S) ->* w:S, ssp'(cons(x':S,zs:S),w:S) ->* ys':S ssp'(cons(y':S,ws:S),v:S) -> cons(y':S,ys':S) | sub(v:S,y':S) ->* w:S, ssp'(ws:S,w:S) ->* ys':S ssp'(xs:S,0) -> nil sub(s(v:S),s(w:S)) -> z:S | sub(v:S,w:S) ->* z:S sub(z:S,0) -> z:S The problem is decomposed in 2 subproblems. Problem 1.1: SCC Processor: -> Pairs: Empty -> QPairs: Empty -> Rules: get(cons(x':S,xs':S)) -> tp2(y:S,cons(x':S,zs:S)) | get(xs':S) ->* tp2(y:S,zs:S) get(cons(y:S,ys:S)) -> tp2(y:S,ys:S) ssp'(cons(x':S,xs':S),v:S) -> cons(y':S,ys':S) | get(xs':S) ->* tp2(y':S,zs:S), sub(v:S,y':S) ->* w:S, ssp'(cons(x':S,zs:S),w:S) ->* ys':S ssp'(cons(y':S,ws:S),v:S) -> cons(y':S,ys':S) | sub(v:S,y':S) ->* w:S, ssp'(ws:S,w:S) ->* ys':S ssp'(xs:S,0) -> nil sub(s(v:S),s(w:S)) -> z:S | sub(v:S,w:S) ->* z:S sub(z:S,0) -> z:S ->Strongly Connected Components: There is no strongly connected component The problem is finite. Problem 1.2: SCC Processor: -> Pairs: GET(cons(x':S,xs':S)) -> GET(xs':S) SSP'(cons(x':S,xs':S),v:S) -> GET(xs':S) popout

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job log

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actions

all output return to TRS Conditional