TRS Stand 20472 pair #381713583

details

property	value
status	complete
benchmark	4.13.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n106.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	ttt2-1.17+nonreach
configuration	ttt2-1.17+nonreach
runtime (wallclock)	1.06922507286 seconds
cpu usage	2.902340468
max memory	4.03038208E8

stage attributes

key	value
output-size	1807
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


YES

Problem:
 -(0(),y) -> 0()
 -(x,0()) -> x
 -(x,s(y)) -> if(greater(x,s(y)),s(-(x,p(s(y)))),0())
 p(0()) -> 0()
 p(s(x)) -> x

Proof:
 DP Processor:
  DPs:
   -#(x,s(y)) -> p#(s(y))
   -#(x,s(y)) -> -#(x,p(s(y)))
  TRS:
   -(0(),y) -> 0()
   -(x,0()) -> x
   -(x,s(y)) -> if(greater(x,s(y)),s(-(x,p(s(y)))),0())
   p(0()) -> 0()
   p(s(x)) -> x
  TDG Processor:
   DPs:
    -#(x,s(y)) -> p#(s(y))
    -#(x,s(y)) -> -#(x,p(s(y)))
   TRS:
    -(0(),y) -> 0()
    -(x,0()) -> x
    -(x,s(y)) -> if(greater(x,s(y)),s(-(x,p(s(y)))),0())
    p(0()) -> 0()
    p(s(x)) -> x
   graph:
    -#(x,s(y)) -> -#(x,p(s(y))) -> -#(x,s(y)) -> -#(x,p(s(y)))
    -#(x,s(y)) -> -#(x,p(s(y))) -> -#(x,s(y)) -> p#(s(y))
   SCC Processor:
    #sccs: 1
    #rules: 1
    #arcs: 2/4
    DPs:
     -#(x,s(y)) -> -#(x,p(s(y)))
    TRS:
     -(0(),y) -> 0()
     -(x,0()) -> x
     -(x,s(y)) -> if(greater(x,s(y)),s(-(x,p(s(y)))),0())
     p(0()) -> 0()
     p(s(x)) -> x
    Usable Rule Processor:
     DPs:
      -#(x,s(y)) -> -#(x,p(s(y)))
     TRS:
      p(s(x)) -> x
     Semantic Labeling Processor:
      dimension: 2
      usable rules:
       
      interpretation:
                 [1 0]  
       [p](x0) = [1 0]x0,
       
                 [1 1]     [0]
       [s](x0) = [1 1]x0 + [1]
       labeled:
        -#
       usable (for model):
        -#
        s
        p
       argument filtering:
        pi(s) = 0
        pi(p) = 0
        pi(-#) = []
      precedence:
       -# ~ p ~ s
      problem:
       DPs:
        
       TRS:
        p(s(x)) -> x
      Qed

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