details

property	value
status	complete
benchmark	351.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n044.star.cs.uiowa.edu
space	COPS

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0200011 seconds
cpu usage	0.020531
user time	0.012561
system time	0.00797
max virtual memory	113176.0
max residence set size	6788.0

stage attributes

key	value
starexec-result	YES

output

0.00/0.01 YES 0.00/0.01 0.00/0.01 Problem 1: 0.00/0.01 0.00/0.01 (VAR v_NonEmpty:S v:S w:S xs:S xs':S y:S ys':S z:S) 0.00/0.01 (RULES 0.00/0.01 ssp(cons(y:S,ys':S),v:S) -> cons(y:S,xs':S) | sub(v:S,y:S) ->* w:S, ssp(ys':S,w:S) ->* xs':S 0.00/0.01 ssp(cons(y:S,ys':S),v:S) -> xs:S | ssp(ys':S,v:S) ->* xs:S 0.00/0.01 ssp(nil,0) -> nil 0.00/0.01 sub(s(v:S),s(w:S)) -> z:S | sub(v:S,w:S) ->* z:S 0.00/0.01 sub(z:S,0) -> z:S 0.00/0.01 ) 0.00/0.01 0.00/0.01 Problem 1: 0.00/0.01 Valid CTRS Processor: 0.00/0.01 -> Rules: 0.00/0.01 ssp(cons(y:S,ys':S),v:S) -> cons(y:S,xs':S) | sub(v:S,y:S) ->* w:S, ssp(ys':S,w:S) ->* xs':S 0.00/0.01 ssp(cons(y:S,ys':S),v:S) -> xs:S | ssp(ys':S,v:S) ->* xs:S 0.00/0.01 ssp(nil,0) -> nil 0.00/0.01 sub(s(v:S),s(w:S)) -> z:S | sub(v:S,w:S) ->* z:S 0.00/0.01 sub(z:S,0) -> z:S 0.00/0.01 -> The system is a deterministic 3-CTRS. 0.00/0.01 0.00/0.01 Problem 1: 0.00/0.01 0.00/0.01 Dependency Pairs Processor: 0.00/0.01 0.00/0.01 Conditional Termination Problem 1: 0.00/0.01 -> Pairs: 0.00/0.01 Empty 0.00/0.01 -> QPairs: 0.00/0.01 Empty 0.00/0.01 -> Rules: 0.00/0.01 ssp(cons(y:S,ys':S),v:S) -> cons(y:S,xs':S) | sub(v:S,y:S) ->* w:S, ssp(ys':S,w:S) ->* xs':S 0.00/0.01 ssp(cons(y:S,ys':S),v:S) -> xs:S | ssp(ys':S,v:S) ->* xs:S 0.00/0.01 ssp(nil,0) -> nil 0.00/0.01 sub(s(v:S),s(w:S)) -> z:S | sub(v:S,w:S) ->* z:S 0.00/0.01 sub(z:S,0) -> z:S 0.00/0.01 0.00/0.01 Conditional Termination Problem 2: 0.00/0.01 -> Pairs: 0.00/0.01 SSP(cons(y:S,ys':S),v:S) -> SSP(ys':S,v:S) 0.00/0.01 SSP(cons(y:S,ys':S),v:S) -> SSP(ys':S,w:S) | sub(v:S,y:S) ->* w:S 0.00/0.01 SSP(cons(y:S,ys':S),v:S) -> SUB(v:S,y:S) 0.00/0.01 SUB(s(v:S),s(w:S)) -> SUB(v:S,w:S) 0.00/0.01 -> QPairs: 0.00/0.01 Empty 0.00/0.01 -> Rules: 0.00/0.01 ssp(cons(y:S,ys':S),v:S) -> cons(y:S,xs':S) | sub(v:S,y:S) ->* w:S, ssp(ys':S,w:S) ->* xs':S 0.00/0.01 ssp(cons(y:S,ys':S),v:S) -> xs:S | ssp(ys':S,v:S) ->* xs:S 0.00/0.01 ssp(nil,0) -> nil 0.00/0.01 sub(s(v:S),s(w:S)) -> z:S | sub(v:S,w:S) ->* z:S 0.00/0.01 sub(z:S,0) -> z:S 0.00/0.01 0.00/0.01 0.00/0.01 The problem is decomposed in 2 subproblems. 0.00/0.01 0.00/0.01 Problem 1.1: 0.00/0.01 0.00/0.01 SCC Processor: 0.00/0.01 -> Pairs: 0.00/0.01 Empty 0.00/0.01 -> QPairs: 0.00/0.01 Empty 0.00/0.01 -> Rules: 0.00/0.01 ssp(cons(y:S,ys':S),v:S) -> cons(y:S,xs':S) | sub(v:S,y:S) ->* w:S, ssp(ys':S,w:S) ->* xs':S 0.00/0.01 ssp(cons(y:S,ys':S),v:S) -> xs:S | ssp(ys':S,v:S) ->* xs:S 0.00/0.01 ssp(nil,0) -> nil 0.00/0.01 sub(s(v:S),s(w:S)) -> z:S | sub(v:S,w:S) ->* z:S 0.00/0.01 sub(z:S,0) -> z:S 0.00/0.01 ->Strongly Connected Components: 0.00/0.01 There is no strongly connected component 0.00/0.01 0.00/0.01 The problem is finite. 0.00/0.01 0.00/0.01 Problem 1.2: 0.00/0.01 0.00/0.01 SCC Processor: 0.00/0.01 -> Pairs: 0.00/0.01 SSP(cons(y:S,ys':S),v:S) -> SSP(ys':S,v:S) 0.00/0.01 SSP(cons(y:S,ys':S),v:S) -> SSP(ys':S,w:S) | sub(v:S,y:S) ->* w:S 0.00/0.01 SSP(cons(y:S,ys':S),v:S) -> SUB(v:S,y:S) 0.00/0.01 SUB(s(v:S),s(w:S)) -> SUB(v:S,w:S) 0.00/0.01 -> QPairs: 0.00/0.01 Empty 0.00/0.01 -> Rules: 0.00/0.01 ssp(cons(y:S,ys':S),v:S) -> cons(y:S,xs':S) | sub(v:S,y:S) ->* w:S, ssp(ys':S,w:S) ->* xs':S 0.00/0.01 ssp(cons(y:S,ys':S),v:S) -> xs:S | ssp(ys':S,v:S) ->* xs:S 0.00/0.01 ssp(nil,0) -> nil 0.00/0.01 sub(s(v:S),s(w:S)) -> z:S | sub(v:S,w:S) ->* z:S 0.00/0.01 sub(z:S,0) -> z:S 0.00/0.01 ->Strongly Connected Components: 0.00/0.01 ->->Cycle: 0.00/0.01 ->->-> Pairs: 0.00/0.01 SUB(s(v:S),s(w:S)) -> SUB(v:S,w:S) 0.00/0.01 -> QPairs: 0.00/0.01 Empty 0.00/0.01 ->->-> Rules: 0.00/0.01 ssp(cons(y:S,ys':S),v:S) -> cons(y:S,xs':S) | sub(v:S,y:S) ->* w:S, ssp(ys':S,w:S) ->* xs':S 0.00/0.01 ssp(cons(y:S,ys':S),v:S) -> xs:S | ssp(ys':S,v:S) ->* xs:S popout

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

job log

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actions

all output return to TRS_Conditional 2019-03-28 22.59