TRS_Relative 2019-03-21 03.54 pair #429988657

details

property	value
status	complete
benchmark	#3.57_rand.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n034.star.cs.uiowa.edu
space	INVY_15

run statistics

property	value
solver	NaTT
configuration	Default
runtime (wallclock)	0.227498 seconds
cpu usage	0.107334
user time	0.068497
system time	0.038837
max virtual memory	113176.0
max residence set size	7500.0

stage attributes

key	value
starexec-result	YES

output

0.00/0.22	YES
0.00/0.22	Input TRS:
0.00/0.22	    1: minus(x,0()) -> x
0.00/0.22	    2: minus(s(x),s(y)) -> minus(x,y)
0.00/0.22	    3: quot(0(),s(y)) -> 0()
0.00/0.22	    4: quot(s(x),s(y)) -> s(quot(minus(x,y),s(y)))
0.00/0.22	    5: plus(0(),y) -> y
0.00/0.22	    6: plus(s(x),y) -> s(plus(x,y))
0.00/0.22	    7: minus(minus(x,y),z) -> minus(x,plus(y,z))
0.00/0.22	    8: app(nil(),k) -> k
0.00/0.22	    9: app(l,nil()) -> l
0.00/0.22	    10: app(cons(x,l),k) -> cons(x,app(l,k))
0.00/0.22	    11: sum(cons(x,nil())) -> cons(x,nil())
0.00/0.22	    12: sum(cons(x,cons(y,l))) -> sum(cons(plus(x,y),l))
0.00/0.22	    13: sum(app(l,cons(x,cons(y,k)))) -> sum(app(l,sum(cons(x,cons(y,k)))))
0.00/0.22	    14: rand(x) ->= x
0.00/0.22	    15: rand(x) ->= rand(s(x))
0.00/0.22	Number of strict rules: 13
0.00/0.22	Direct POLO(bPol) ... failed.
0.00/0.22	Uncurrying ... failed.
0.00/0.22	Dependency Pairs:
0.00/0.22	   #1: #minus(s(x),s(y)) -> #minus(x,y)
0.00/0.22	   #2: #plus(s(x),y) -> #plus(x,y)
0.00/0.22	   #3: #sum(app(l,cons(x,cons(y,k)))) -> #sum(app(l,sum(cons(x,cons(y,k)))))
0.00/0.22	   #4: #sum(app(l,cons(x,cons(y,k)))) -> #app(l,sum(cons(x,cons(y,k))))
0.00/0.22	   #5: #sum(app(l,cons(x,cons(y,k)))) -> #sum(cons(x,cons(y,k)))
0.00/0.22	   #6: #sum(cons(x,cons(y,l))) -> #sum(cons(plus(x,y),l))
0.00/0.22	   #7: #sum(cons(x,cons(y,l))) -> #plus(x,y)
0.00/0.22	   #8: #minus(minus(x,y),z) -> #minus(x,plus(y,z))
0.00/0.22	   #9: #minus(minus(x,y),z) -> #plus(y,z)
0.00/0.22	   #10: #app(cons(x,l),k) -> #app(l,k)
0.00/0.22	   #11: #quot(s(x),s(y)) -> #quot(minus(x,y),s(y))
0.00/0.22	   #12: #quot(s(x),s(y)) -> #minus(x,y)
0.00/0.22	Number of SCCs: 6, DPs: 7
0.00/0.22	  SCC { #2 }
0.00/0.22	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded.
0.00/0.22	      s 	s: [1]	p: 1	w: x1
0.00/0.22	      minus	s: [1]	p: 0	w: max(x1)
0.00/0.22	      #plus	s: [1]	p: 0	w: max(x1 + 1)
0.00/0.22	      rand	s: []	p: 0	w: x1 + 1
0.00/0.22	      sum	s: []	p: 0	w: 6
0.00/0.22	      0 	s: []	p: 2	w: 1
0.00/0.22	      quot	s: [2,1]	p: 2	w: max(x1 + 2, x2 + 1)
0.00/0.22	      nil	s: []	p: 1	w: 1
0.00/0.22	      #app	s: [2,1]	p: 0	w: x1 + x2
0.00/0.22	      #minus	s: [1,2]	p: 0	w: max(x1, x2)
0.00/0.22	      plus	s: [2,1]	p: 2	w: max(x1, x2)
0.00/0.22	      cons	s: []	p: 0	w: x2 + 4
0.00/0.22	      #quot	s: [1,2]	p: 0	w: max(x1 + 1, x2 + 1)
0.00/0.22	      #sum	s: []	p: 0	w: 1
0.00/0.22	      app	s: [2]	p: 1	w: x1 + x2 + 1
0.00/0.22	    Removed DPs: #2
0.00/0.22	Number of SCCs: 5, DPs: 6
0.00/0.22	  SCC { #10 }
0.00/0.22	POLO(Sum)... succeeded.
0.00/0.22	      s 	w: x1
0.00/0.22	      minus	w: x1 + 1
0.00/0.22	      #plus	w: 0
0.00/0.22	      rand	w: x1
0.00/0.22	      sum	w: 2
0.00/0.22	      0 	w: 1
0.00/0.22	      quot	w: 1
0.00/0.22	      nil	w: 1
0.00/0.22	      #app	w: x1
0.00/0.22	      #minus	w: 0
0.00/0.22	      plus	w: x2 + 1
0.00/0.22	      cons	w: x2 + 1
0.00/0.22	      #quot	w: 0
0.00/0.22	      #sum	w: 0
0.00/0.22	      app	w: x1 + x2 + 1
0.00/0.22	    Removed DPs: #10
0.00/0.22	Number of SCCs: 4, DPs: 5
0.00/0.22	  SCC { #11 }
0.00/0.22	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded.
0.00/0.22	      s 	s: [1]	p: 2	w: x1
0.00/0.22	      minus	s: [1]	p: 1	w: max(x1)
0.00/0.22	      #plus	s: [1]	p: 0	w: max(x1 + 1)
0.00/0.22	      rand	s: []	p: 0	w: x1 + 1
0.00/0.22	      sum	s: []	p: 0	w: 6
0.00/0.22	      0 	s: []	p: 3	w: 1
0.00/0.22	      quot	s: [2,1]	p: 3	w: max(x1 + 2, x2 + 1)
0.00/0.22	      nil	s: []	p: 1	w: 1
0.00/0.22	      #app	s: [2,1]	p: 0	w: x1 + x2
0.00/0.22	      #minus	s: [1,2]	p: 0	w: max(x1, x2)
0.00/0.22	      plus	s: [2,1]	p: 3	w: max(x1, x2)
0.00/0.22	      cons	s: []	p: 0	w: x2 + 4
0.00/0.22	      #quot	s: [1,2]	p: 0	w: max(x1 + 1, x2 + 1)
0.00/0.22	      #sum	s: []	p: 0	w: 1
0.00/0.22	      app	s: [2]	p: 1	w: x1 + x2 + 1
0.00/0.22	    Removed DPs: #11
0.00/0.22	Number of SCCs: 3, DPs: 4
0.00/0.22	  SCC { #6 }
0.00/0.22	POLO(Sum)... succeeded.
0.00/0.22	      s 	w: x1
0.00/0.22	      minus	w: x1 + 1
0.00/0.22	      #plus	w: 0
0.00/0.22	      rand	w: x1
0.00/0.22	      sum	w: 2
0.00/0.22	      0 	w: 1
0.00/0.22	      quot	w: 1

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