TRS Standard pair #516963779

details

property	value
status	complete
benchmark	jwmatchb1.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n145.star.cs.uiowa.edu
space	Waldmann_06

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	0.65704202652 seconds
cpu usage	1.507903177
max memory	3.33819904E8

stage attributes

key	value
output-size	888
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

Problem:
 h(f(x,y)) -> f(y,f(h(h(x)),a()))

Proof:
 DP Processor:
  DPs:
   h#(f(x,y)) -> h#(x)
   h#(f(x,y)) -> h#(h(x))
  TRS:
   h(f(x,y)) -> f(y,f(h(h(x)),a()))
  Bounds Processor:
   bound: 1
   enrichment: match
   automaton:
    final states: {5,3,1}
    transitions:
     h{#,0}(4) -> 3*
     h{#,0}(2) -> 3,1
     f0(7,6) -> 8*
     f0(8,8) -> 7*
     f0(2,8) -> 5*
     h0(4) -> 7*
     h0(2) -> 4*
     h{#,1}(2) -> 3,1
     a1() -> 9*
     f40() -> 2*
     a0() -> 6*
     h1(2) -> 2*
     f1(2,9) -> 10*
     f1(8,10) -> 7*
     5 -> 4*
     3 -> 1*
   problem:
    DPs:
     
    TRS:
     h(f(x,y)) -> f(y,f(h(h(x)),a()))
   Qed

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