details

property	value
status	complete
benchmark	#4.34.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n069.star.cs.uiowa.edu
space	AG01_innermost

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.078842 seconds
cpu usage	0.070572
user time	0.043967
system time	0.026605
max virtual memory	113176.0
max residence set size	5496.0

stage attributes

key	value
starexec-result	YES

output

0.00/0.07 YES 0.00/0.07 0.00/0.07 Problem 1: 0.00/0.07 0.00/0.07 (VAR v_NonEmpty:S x:S y:S) 0.00/0.07 (RULES 0.00/0.07 f(0) -> ttrue 0.00/0.07 f(1) -> ffalse 0.00/0.07 f(s(x:S)) -> f(x:S) 0.00/0.07 g(s(x:S),s(y:S)) -> if(f(x:S),s(x:S),s(y:S)) 0.00/0.07 g(x:S,c(y:S)) -> g(x:S,g(s(c(y:S)),y:S)) 0.00/0.07 if(ffalse,x:S,y:S) -> y:S 0.00/0.07 if(ttrue,x:S,y:S) -> x:S 0.00/0.07 ) 0.00/0.07 (STRATEGY INNERMOST) 0.00/0.07 0.00/0.07 Problem 1: 0.00/0.07 0.00/0.07 Dependency Pairs Processor: 0.00/0.07 -> Pairs: 0.00/0.07 F(s(x:S)) -> F(x:S) 0.00/0.07 G(s(x:S),s(y:S)) -> F(x:S) 0.00/0.07 G(s(x:S),s(y:S)) -> IF(f(x:S),s(x:S),s(y:S)) 0.00/0.07 G(x:S,c(y:S)) -> G(s(c(y:S)),y:S) 0.00/0.07 G(x:S,c(y:S)) -> G(x:S,g(s(c(y:S)),y:S)) 0.00/0.07 -> Rules: 0.00/0.07 f(0) -> ttrue 0.00/0.07 f(1) -> ffalse 0.00/0.07 f(s(x:S)) -> f(x:S) 0.00/0.07 g(s(x:S),s(y:S)) -> if(f(x:S),s(x:S),s(y:S)) 0.00/0.07 g(x:S,c(y:S)) -> g(x:S,g(s(c(y:S)),y:S)) 0.00/0.07 if(ffalse,x:S,y:S) -> y:S 0.00/0.07 if(ttrue,x:S,y:S) -> x:S 0.00/0.07 0.00/0.07 Problem 1: 0.00/0.07 0.00/0.07 SCC Processor: 0.00/0.07 -> Pairs: 0.00/0.07 F(s(x:S)) -> F(x:S) 0.00/0.07 G(s(x:S),s(y:S)) -> F(x:S) 0.00/0.07 G(s(x:S),s(y:S)) -> IF(f(x:S),s(x:S),s(y:S)) 0.00/0.07 G(x:S,c(y:S)) -> G(s(c(y:S)),y:S) 0.00/0.07 G(x:S,c(y:S)) -> G(x:S,g(s(c(y:S)),y:S)) 0.00/0.07 -> Rules: 0.00/0.07 f(0) -> ttrue 0.00/0.07 f(1) -> ffalse 0.00/0.07 f(s(x:S)) -> f(x:S) 0.00/0.07 g(s(x:S),s(y:S)) -> if(f(x:S),s(x:S),s(y:S)) 0.00/0.07 g(x:S,c(y:S)) -> g(x:S,g(s(c(y:S)),y:S)) 0.00/0.07 if(ffalse,x:S,y:S) -> y:S 0.00/0.07 if(ttrue,x:S,y:S) -> x:S 0.00/0.07 ->Strongly Connected Components: 0.00/0.07 ->->Cycle: 0.00/0.07 ->->-> Pairs: 0.00/0.07 F(s(x:S)) -> F(x:S) 0.00/0.07 ->->-> Rules: 0.00/0.07 f(0) -> ttrue 0.00/0.07 f(1) -> ffalse 0.00/0.07 f(s(x:S)) -> f(x:S) 0.00/0.07 g(s(x:S),s(y:S)) -> if(f(x:S),s(x:S),s(y:S)) 0.00/0.07 g(x:S,c(y:S)) -> g(x:S,g(s(c(y:S)),y:S)) 0.00/0.07 if(ffalse,x:S,y:S) -> y:S 0.00/0.07 if(ttrue,x:S,y:S) -> x:S 0.00/0.07 ->->Cycle: 0.00/0.07 ->->-> Pairs: 0.00/0.07 G(x:S,c(y:S)) -> G(s(c(y:S)),y:S) 0.00/0.07 G(x:S,c(y:S)) -> G(x:S,g(s(c(y:S)),y:S)) 0.00/0.07 ->->-> Rules: 0.00/0.07 f(0) -> ttrue 0.00/0.07 f(1) -> ffalse 0.00/0.07 f(s(x:S)) -> f(x:S) 0.00/0.07 g(s(x:S),s(y:S)) -> if(f(x:S),s(x:S),s(y:S)) 0.00/0.07 g(x:S,c(y:S)) -> g(x:S,g(s(c(y:S)),y:S)) 0.00/0.07 if(ffalse,x:S,y:S) -> y:S 0.00/0.07 if(ttrue,x:S,y:S) -> x:S 0.00/0.07 0.00/0.07 0.00/0.07 The problem is decomposed in 2 subproblems. 0.00/0.07 0.00/0.07 Problem 1.1: 0.00/0.07 0.00/0.07 Subterm Processor: 0.00/0.07 -> Pairs: 0.00/0.07 F(s(x:S)) -> F(x:S) 0.00/0.07 -> Rules: 0.00/0.07 f(0) -> ttrue 0.00/0.07 f(1) -> ffalse 0.00/0.07 f(s(x:S)) -> f(x:S) 0.00/0.07 g(s(x:S),s(y:S)) -> if(f(x:S),s(x:S),s(y:S)) 0.00/0.07 g(x:S,c(y:S)) -> g(x:S,g(s(c(y:S)),y:S)) 0.00/0.07 if(ffalse,x:S,y:S) -> y:S 0.00/0.07 if(ttrue,x:S,y:S) -> x:S 0.00/0.07 ->Projection: 0.00/0.07 pi(F) = 1 0.00/0.07 0.00/0.07 Problem 1.1: 0.00/0.07 0.00/0.07 SCC Processor: 0.00/0.07 -> Pairs: 0.00/0.07 Empty popout

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actions

all output return to TRS_Innermost 2019-03-28 22.12