details

property	value
status	complete
benchmark	#4.17.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n071.star.cs.uiowa.edu
space	AG01_innermost

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	36.7824 seconds
cpu usage	36.686
user time	35.6335
system time	1.0525
max virtual memory	714992.0
max residence set size	7164.0

stage attributes

key	value
starexec-result	YES

output

36.60/36.77 YES 36.60/36.77 36.60/36.77 Problem 1: 36.60/36.77 36.60/36.77 (VAR v_NonEmpty:S x:S y:S) 36.60/36.77 (RULES 36.60/36.77 f(g(x:S),s(0),y:S) -> f(g(s(0)),y:S,g(x:S)) 36.60/36.77 g(0) -> 0 36.60/36.77 g(s(x:S)) -> s(g(x:S)) 36.60/36.77 ) 36.60/36.77 (STRATEGY INNERMOST) 36.60/36.77 36.60/36.77 Problem 1: 36.60/36.77 36.60/36.77 Dependency Pairs Processor: 36.60/36.77 -> Pairs: 36.60/36.77 F(g(x:S),s(0),y:S) -> F(g(s(0)),y:S,g(x:S)) 36.60/36.77 F(g(x:S),s(0),y:S) -> G(s(0)) 36.60/36.77 G(s(x:S)) -> G(x:S) 36.60/36.77 -> Rules: 36.60/36.77 f(g(x:S),s(0),y:S) -> f(g(s(0)),y:S,g(x:S)) 36.60/36.77 g(0) -> 0 36.60/36.77 g(s(x:S)) -> s(g(x:S)) 36.60/36.77 36.60/36.77 Problem 1: 36.60/36.77 36.60/36.77 SCC Processor: 36.60/36.77 -> Pairs: 36.60/36.77 F(g(x:S),s(0),y:S) -> F(g(s(0)),y:S,g(x:S)) 36.60/36.77 F(g(x:S),s(0),y:S) -> G(s(0)) 36.60/36.77 G(s(x:S)) -> G(x:S) 36.60/36.77 -> Rules: 36.60/36.77 f(g(x:S),s(0),y:S) -> f(g(s(0)),y:S,g(x:S)) 36.60/36.77 g(0) -> 0 36.60/36.77 g(s(x:S)) -> s(g(x:S)) 36.60/36.77 ->Strongly Connected Components: 36.60/36.77 ->->Cycle: 36.60/36.77 ->->-> Pairs: 36.60/36.77 G(s(x:S)) -> G(x:S) 36.60/36.77 ->->-> Rules: 36.60/36.77 f(g(x:S),s(0),y:S) -> f(g(s(0)),y:S,g(x:S)) 36.60/36.77 g(0) -> 0 36.60/36.77 g(s(x:S)) -> s(g(x:S)) 36.60/36.77 ->->Cycle: 36.60/36.77 ->->-> Pairs: 36.60/36.77 F(g(x:S),s(0),y:S) -> F(g(s(0)),y:S,g(x:S)) 36.60/36.77 ->->-> Rules: 36.60/36.77 f(g(x:S),s(0),y:S) -> f(g(s(0)),y:S,g(x:S)) 36.60/36.77 g(0) -> 0 36.60/36.77 g(s(x:S)) -> s(g(x:S)) 36.60/36.77 36.60/36.77 36.60/36.77 The problem is decomposed in 2 subproblems. 36.60/36.77 36.60/36.77 Problem 1.1: 36.60/36.77 36.60/36.77 Subterm Processor: 36.60/36.78 -> Pairs: 36.60/36.78 G(s(x:S)) -> G(x:S) 36.60/36.78 -> Rules: 36.60/36.78 f(g(x:S),s(0),y:S) -> f(g(s(0)),y:S,g(x:S)) 36.60/36.78 g(0) -> 0 36.60/36.78 g(s(x:S)) -> s(g(x:S)) 36.60/36.78 ->Projection: 36.60/36.78 pi(G) = 1 36.60/36.78 36.60/36.78 Problem 1.1: 36.60/36.78 36.60/36.78 SCC Processor: 36.60/36.78 -> Pairs: 36.60/36.78 Empty 36.60/36.78 -> Rules: 36.60/36.78 f(g(x:S),s(0),y:S) -> f(g(s(0)),y:S,g(x:S)) 36.60/36.78 g(0) -> 0 36.60/36.78 g(s(x:S)) -> s(g(x:S)) 36.60/36.78 ->Strongly Connected Components: 36.60/36.78 There is no strongly connected component 36.60/36.78 36.60/36.78 The problem is finite. 36.60/36.78 36.60/36.78 Problem 1.2: 36.60/36.78 36.60/36.78 Instantiation Processor: 36.60/36.78 -> Pairs: 36.60/36.78 F(g(x:S),s(0),y:S) -> F(g(s(0)),y:S,g(x:S)) 36.60/36.78 -> Rules: 36.60/36.78 f(g(x:S),s(0),y:S) -> f(g(s(0)),y:S,g(x:S)) 36.60/36.78 g(0) -> 0 36.60/36.78 g(s(x:S)) -> s(g(x:S)) 36.60/36.78 ->Instantiated Pairs: 36.60/36.78 ->->Original Pair: 36.60/36.78 F(g(x:S),s(0),y:S) -> F(g(s(0)),y:S,g(x:S)) 36.60/36.78 ->-> Instantiated pairs: 36.60/36.78 F(g(x:S),s(0),g(x4:S)) -> F(g(s(0)),g(x4:S),g(x:S)) 36.60/36.78 36.60/36.78 Problem 1.2: 36.60/36.78 36.60/36.78 SCC Processor: 36.60/36.78 -> Pairs: 36.60/36.78 F(g(x:S),s(0),g(x4:S)) -> F(g(s(0)),g(x4:S),g(x:S)) popout

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all output return to TRS_Innermost 2019-03-28 22.12