TRS Relative pair #487081825

details

property	value
status	complete
benchmark	abp2.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	Mixed_relative_TRS

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.112242 seconds
cpu usage	0.032343
user time	0.01766
system time	0.014683
max virtual memory	113188.0
max residence set size	7764.0

stage attributes

key	value
starexec-result	YES

output

YES
Input TRS:
      1: T(ok(sys(x,P(d,b),R(b),y))) -> T(check(sys(x,bot(),R(not(b)),y)))
      2: T(ok(sys(S(b,c(d,ds)),bot(),y,z))) ->= T(check(sys(S(b,c(d,ds)),P(d,b),y,z)))
      3: T(ok(sys(S(b,c(d,ds)),x,y,F(b)))) ->= T(check(sys(S(not(b),ds),x,y,bot())))
      4: T(ok(sys(x,y,R(b),bot()))) ->= T(check(sys(x,y,R(b),F(not(b)))))
      5: not(1()) ->= 0()
      6: not(0()) ->= 1()
      7: nils() ->= c(new(),nils())
      8: p(d,b) ->= bot()
      9: f(b) ->= bot()
      10: check(old()) ->= ok(old())
      11: check(f(v1)) ->= f(check(v1))
      12: f(ok(v1)) ->= ok(f(v1))
      13: check(p(v1,v2())) ->= p(v1,check(v2()))
      14: check(p(v1,v2())) ->= p(check(v1),v2())
      15: p(v1,ok(v2())) ->= ok(p(v1,v2()))
      16: p(ok(v1),v2()) ->= ok(p(v1,v2()))
      17: check(R(v1)) ->= R(check(v1))
      18: R(ok(v1)) ->= ok(R(v1))
      19: check(not(v1)) ->= not(check(v1))
      20: not(ok(v1)) ->= ok(not(v1))
      21: check(F(v1)) ->= F(check(v1))
      22: F(ok(v1)) ->= ok(F(v1))
      23: check(P(v1,v2())) ->= P(v1,check(v2()))
      24: check(P(v1,v2())) ->= P(check(v1),v2())
      25: P(v1,ok(v2())) ->= ok(P(v1,v2()))
      26: P(ok(v1),v2()) ->= ok(P(v1,v2()))
      27: check(c(v1,v2())) ->= c(v1,check(v2()))
      28: check(c(v1,v2())) ->= c(check(v1),v2())
      29: c(v1,ok(v2())) ->= ok(c(v1,v2()))
      30: c(ok(v1),v2()) ->= ok(c(v1,v2()))
      31: check(S(v1,v2())) ->= S(v1,check(v2()))
      32: check(S(v1,v2())) ->= S(check(v1),v2())
      33: S(v1,ok(v2())) ->= ok(S(v1,v2()))
      34: S(ok(v1),v2()) ->= ok(S(v1,v2()))
      35: check(sys(v1,v2(),v3(),v4)) ->= sys(v1,v2(),v3(),check(v4))
      36: check(sys(v1,v2(),v3(),v4)) ->= sys(v1,v2(),check(v3()),v4)
      37: check(sys(v1,v2(),v3(),v4)) ->= sys(v1,check(v2()),v3(),v4)
      38: check(sys(v1,v2(),v3(),v4)) ->= sys(check(v1),v2(),v3(),v4)
      39: sys(v1,v2(),v3(),ok(v4)) ->= ok(sys(v1,v2(),v3(),v4))
      40: sys(v1,v2(),ok(v3()),v4) ->= ok(sys(v1,v2(),v3(),v4))
      41: sys(v1,ok(v2()),v3(),v4) ->= ok(sys(v1,v2(),v3(),v4))
      42: sys(ok(v1),v2(),v3(),v4) ->= ok(sys(v1,v2(),v3(),v4))
Number of strict rules: 1
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #T(ok(sys(S(b,c(d,ds)),bot(),y,z))) ->? #T(check(sys(S(b,c(d,ds)),P(d,b),y,z)))
     #2: #T(ok(sys(S(b,c(d,ds)),x,y,F(b)))) ->? #T(check(sys(S(not(b),ds),x,y,bot())))
     #3: #T(ok(sys(x,P(d,b),R(b),y))) -> #T(check(sys(x,bot(),R(not(b)),y)))
     #4: #T(ok(sys(x,y,R(b),bot()))) ->? #T(check(sys(x,y,R(b),F(not(b)))))
Number of SCCs: 1, DPs: 1
  SCC { #2 }
POLO(Sum)... succeeded.
      1 	w: 1
      new	w: 1
      S 	w: 22115
      #T 	w: x1
      v2	w: 2332
      T 	w: 0
      F 	w: 12332
      v3	w: 1
      bot	w: 1
      nils	w: 1
      c 	w: 1
      f 	w: 13506
      check	w: x1 + 1
      sys	w: x2 + x3 + x4
      p 	w: x2 + 7177
      ok	w: x1
      0 	w: 1
      R 	w: 1
      old	w: 38525
      P 	w: 30914
      not	w: 1
    Removed DPs: #2
Number of SCCs: 0, DPs: 0

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