TRS Inner 89993 pair #381733473

details

property	value
status	complete
benchmark	#4.8.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n055.star.cs.uiowa.edu
space	Applicative_AG01_innermost

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.914448976517 seconds
cpu usage	0.86382814
max memory	1.6564224E7

stage attributes

key	value
output-size	14726
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 fun x xs y)
(RULES
app(app(app(app(filter2,false),fun),x),xs) -> app(app(filter,fun),xs)
app(app(app(app(filter2,true),fun),x),xs) -> app(app(cons,x),app(app(filter,fun),xs))
app(app(app(f,0),app(s,0)),x) -> app(app(app(f,x),app(app(plus,x),x)),x)
app(app(filter,fun),app(app(cons,x),xs)) -> app(app(app(app(filter2,app(fun,x)),fun),x),xs)
app(app(filter,fun),nil) -> nil
app(app(g,x),y) -> x
app(app(g,x),y) -> y
app(app(map,fun),app(app(cons,x),xs)) -> app(app(cons,app(fun,x)),app(app(map,fun),xs))
app(app(map,fun),nil) -> nil
app(app(plus,x),app(s,y)) -> app(s,app(app(plus,x),y))
app(app(plus,x),0) -> x
) 
(STRATEGY INNERMOST)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 APP(app(app(app(filter2,false),fun),x),xs) -> APP(app(filter,fun),xs)
 APP(app(app(app(filter2,true),fun),x),xs) -> APP(app(cons,x),app(app(filter,fun),xs))
 APP(app(app(app(filter2,true),fun),x),xs) -> APP(app(filter,fun),xs)
 APP(app(app(f,0),app(s,0)),x) -> APP(app(app(f,x),app(app(plus,x),x)),x)
 APP(app(app(f,0),app(s,0)),x) -> APP(app(f,x),app(app(plus,x),x))
 APP(app(app(f,0),app(s,0)),x) -> APP(app(plus,x),x)
 APP(app(filter,fun),app(app(cons,x),xs)) -> APP(app(app(app(filter2,app(fun,x)),fun),x),xs)
 APP(app(filter,fun),app(app(cons,x),xs)) -> APP(app(app(filter2,app(fun,x)),fun),x)
 APP(app(filter,fun),app(app(cons,x),xs)) -> APP(app(filter2,app(fun,x)),fun)
 APP(app(filter,fun),app(app(cons,x),xs)) -> APP(filter2,app(fun,x))
 APP(app(filter,fun),app(app(cons,x),xs)) -> APP(fun,x)
 APP(app(map,fun),app(app(cons,x),xs)) -> APP(app(cons,app(fun,x)),app(app(map,fun),xs))
 APP(app(map,fun),app(app(cons,x),xs)) -> APP(app(map,fun),xs)
 APP(app(map,fun),app(app(cons,x),xs)) -> APP(cons,app(fun,x))
 APP(app(map,fun),app(app(cons,x),xs)) -> APP(fun,x)
 APP(app(plus,x),app(s,y)) -> APP(app(plus,x),y)
 APP(app(plus,x),app(s,y)) -> APP(s,app(app(plus,x),y))
-> Rules:
 app(app(app(app(filter2,false),fun),x),xs) -> app(app(filter,fun),xs)
 app(app(app(app(filter2,true),fun),x),xs) -> app(app(cons,x),app(app(filter,fun),xs))
 app(app(app(f,0),app(s,0)),x) -> app(app(app(f,x),app(app(plus,x),x)),x)
 app(app(filter,fun),app(app(cons,x),xs)) -> app(app(app(app(filter2,app(fun,x)),fun),x),xs)
 app(app(filter,fun),nil) -> nil
 app(app(g,x),y) -> x
 app(app(g,x),y) -> y
 app(app(map,fun),app(app(cons,x),xs)) -> app(app(cons,app(fun,x)),app(app(map,fun),xs))
 app(app(map,fun),nil) -> nil
 app(app(plus,x),app(s,y)) -> app(s,app(app(plus,x),y))
 app(app(plus,x),0) -> x

Problem 1: 

SCC Processor:
-> Pairs:
 APP(app(app(app(filter2,false),fun),x),xs) -> APP(app(filter,fun),xs)
 APP(app(app(app(filter2,true),fun),x),xs) -> APP(app(cons,x),app(app(filter,fun),xs))
 APP(app(app(app(filter2,true),fun),x),xs) -> APP(app(filter,fun),xs)
 APP(app(app(f,0),app(s,0)),x) -> APP(app(app(f,x),app(app(plus,x),x)),x)
 APP(app(app(f,0),app(s,0)),x) -> APP(app(f,x),app(app(plus,x),x))
 APP(app(app(f,0),app(s,0)),x) -> APP(app(plus,x),x)
 APP(app(filter,fun),app(app(cons,x),xs)) -> APP(app(app(app(filter2,app(fun,x)),fun),x),xs)
 APP(app(filter,fun),app(app(cons,x),xs)) -> APP(app(app(filter2,app(fun,x)),fun),x)
 APP(app(filter,fun),app(app(cons,x),xs)) -> APP(app(filter2,app(fun,x)),fun)
 APP(app(filter,fun),app(app(cons,x),xs)) -> APP(filter2,app(fun,x))
 APP(app(filter,fun),app(app(cons,x),xs)) -> APP(fun,x)
 APP(app(map,fun),app(app(cons,x),xs)) -> APP(app(cons,app(fun,x)),app(app(map,fun),xs))
 APP(app(map,fun),app(app(cons,x),xs)) -> APP(app(map,fun),xs)
 APP(app(map,fun),app(app(cons,x),xs)) -> APP(cons,app(fun,x))
 APP(app(map,fun),app(app(cons,x),xs)) -> APP(fun,x)
 APP(app(plus,x),app(s,y)) -> APP(app(plus,x),y)
 APP(app(plus,x),app(s,y)) -> APP(s,app(app(plus,x),y))
-> Rules:
 app(app(app(app(filter2,false),fun),x),xs) -> app(app(filter,fun),xs)
 app(app(app(app(filter2,true),fun),x),xs) -> app(app(cons,x),app(app(filter,fun),xs))
 app(app(app(f,0),app(s,0)),x) -> app(app(app(f,x),app(app(plus,x),x)),x)
 app(app(filter,fun),app(app(cons,x),xs)) -> app(app(app(app(filter2,app(fun,x)),fun),x),xs)
 app(app(filter,fun),nil) -> nil
 app(app(g,x),y) -> x
 app(app(g,x),y) -> y
 app(app(map,fun),app(app(cons,x),xs)) -> app(app(cons,app(fun,x)),app(app(map,fun),xs))
 app(app(map,fun),nil) -> nil
 app(app(plus,x),app(s,y)) -> app(s,app(app(plus,x),y))
 app(app(plus,x),0) -> x
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 APP(app(plus,x),app(s,y)) -> APP(app(plus,x),y)
->->-> Rules:
 app(app(app(app(filter2,false),fun),x),xs) -> app(app(filter,fun),xs)
 app(app(app(app(filter2,true),fun),x),xs) -> app(app(cons,x),app(app(filter,fun),xs))

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