details

property	value
status	complete
benchmark	Ex5TermProof.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n174.star.cs.uiowa.edu
space	AotoYamada_05

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.323969 seconds
cpu usage	0.091808
user time	0.059448
system time	0.03236
max virtual memory	113188.0
max residence set size	7972.0

stage attributes

key	value
starexec-result	MAYBE

output

MAYBE Input TRS: 1: app(app(add(),0()),y) -> y 2: app(app(add(),app(s(),x)),y) -> app(s(),app(app(add(),x),y)) 3: app(app(mult(),0()),y) -> 0() 4: app(app(mult(),app(s(),x)),y) -> app(app(add(),app(app(mult(),x),y)),y) 5: app(app(app(rec(),f),x),0()) -> x 6: app(app(app(rec(),f),x),app(s(),y)) -> app(app(f,app(s(),y)),app(app(app(rec(),f),x),y)) 7: fact() -> app(app(rec(),mult()),app(s(),0())) Number of strict rules: 7 Direct POLO(bPol) ... failed. Uncurrying app 1: app^2_add(0(),y) -> y 2: app^2_add(app^1_s(x),y) -> app^1_s(app^2_add(x,y)) 3: app^2_mult(0(),y) -> 0() 4: app^2_mult(app^1_s(x),y) -> app^2_add(app^2_mult(x,y),y) 5: app^3_rec(f,x,0()) -> x 6: app^3_rec(f,x,app^1_s(y)) -> app(app(f,app^1_s(y)),app^3_rec(f,x,y)) 7: fact() -> app^2_rec(mult(),app^1_s(0())) 8: app(rec(),_1) ->= app^1_rec(_1) 9: app(app^1_rec(_1),_2) ->= app^2_rec(_1,_2) 10: app(app^2_rec(_1,_2),_3) ->= app^3_rec(_1,_2,_3) 11: app(s(),_1) ->= app^1_s(_1) 12: app(add(),_1) ->= app^1_add(_1) 13: app(app^1_add(_1),_2) ->= app^2_add(_1,_2) 14: app(mult(),_1) ->= app^1_mult(_1) 15: app(app^1_mult(_1),_2) ->= app^2_mult(_1,_2) Number of strict rules: 7 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #app^2_add(app^1_s(x),y) -> #app^2_add(x,y) #2: #app^3_rec(f,x,app^1_s(y)) -> #app(app(f,app^1_s(y)),app^3_rec(f,x,y)) #3: #app^3_rec(f,x,app^1_s(y)) -> #app(f,app^1_s(y)) #4: #app^3_rec(f,x,app^1_s(y)) -> #app^3_rec(f,x,y) #5: #app(app^1_add(_1),_2) ->? #app^2_add(_1,_2) #6: #app(app^2_rec(_1,_2),_3) ->? #app^3_rec(_1,_2,_3) #7: #app(app^1_mult(_1),_2) ->? #app^2_mult(_1,_2) #8: #app^2_mult(app^1_s(x),y) -> #app^2_add(app^2_mult(x,y),y) #9: #app^2_mult(app^1_s(x),y) -> #app^2_mult(x,y) Number of SCCs: 3, DPs: 6 SCC { #9 } POLO(Sum)... succeeded. #app^2_mult w: x1 s w: 0 #app^3_rec w: 0 app^3_rec w: 0 app^1_rec w: 0 app^2_rec w: 0 #fact w: 0 mult w: 0 app^2_add w: 0 0 w: 0 app^1_add w: 0 rec w: 0 fact w: 0 #app w: 0 app^1_mult w: 0 app^2_mult w: 0 add w: 0 #app^2_add w: 0 app^1_s w: x1 + 1 app w: 0 USABLE RULES: { } Removed DPs: #9 Number of SCCs: 2, DPs: 5 SCC { #1 } POLO(Sum)... succeeded. #app^2_mult w: 0 s w: 0 #app^3_rec w: 0 app^3_rec w: 0 app^1_rec w: 0 app^2_rec w: 0 #fact w: 0 mult w: 0 app^2_add w: 0 0 w: 0 app^1_add w: 0 rec w: 0 fact w: 0 #app w: 0 app^1_mult w: 0 app^2_mult w: 0 add w: 0 #app^2_add w: x1 app^1_s w: x1 + 1 app w: 0 USABLE RULES: { } Removed DPs: #1 Number of SCCs: 1, DPs: 4 SCC { #2..4 #6 } POLO(Sum)... POLO(max)... succeeded. #app^2_mult w: 0 s w: 20818 #app^3_rec w: max(x1 + 48208) app^3_rec w: max(x1 + 2, x2 + 1) app^1_rec w: x1 app^2_rec w: max(x1 + 1, x2) #fact w: 0 mult w: 33953 popout

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

job log

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actions

all output return to TRS Standard