TRS Stand 20472 pair #381710037

details

property	value
status	complete
benchmark	12.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n009.star.cs.uiowa.edu
space	Der95

run statistics

property	value
solver	ttt2-1.17+nonreach
configuration	ttt2-1.17+nonreach
runtime (wallclock)	0.919577121735 seconds
cpu usage	2.016177666
max memory	2.75079168E8

stage attributes

key	value
output-size	5707
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


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YES

Problem:
 not(not(x)) -> x
 not(or(x,y)) -> and(not(x),not(y))
 not(and(x,y)) -> or(not(x),not(y))
 and(x,or(y,z)) -> or(and(x,y),and(x,z))
 and(or(y,z),x) -> or(and(x,y),and(x,z))

Proof:
 DP Processor:
  DPs:
   not#(or(x,y)) -> not#(y)
   not#(or(x,y)) -> not#(x)
   not#(or(x,y)) -> and#(not(x),not(y))
   not#(and(x,y)) -> not#(y)
   not#(and(x,y)) -> not#(x)
   and#(x,or(y,z)) -> and#(x,z)
   and#(x,or(y,z)) -> and#(x,y)
   and#(or(y,z),x) -> and#(x,z)
   and#(or(y,z),x) -> and#(x,y)
  TRS:
   not(not(x)) -> x
   not(or(x,y)) -> and(not(x),not(y))
   not(and(x,y)) -> or(not(x),not(y))
   and(x,or(y,z)) -> or(and(x,y),and(x,z))
   and(or(y,z),x) -> or(and(x,y),and(x,z))
  TDG Processor:
   DPs:
    not#(or(x,y)) -> not#(y)
    not#(or(x,y)) -> not#(x)
    not#(or(x,y)) -> and#(not(x),not(y))
    not#(and(x,y)) -> not#(y)
    not#(and(x,y)) -> not#(x)
    and#(x,or(y,z)) -> and#(x,z)
    and#(x,or(y,z)) -> and#(x,y)
    and#(or(y,z),x) -> and#(x,z)
    and#(or(y,z),x) -> and#(x,y)
   TRS:
    not(not(x)) -> x
    not(or(x,y)) -> and(not(x),not(y))
    not(and(x,y)) -> or(not(x),not(y))
    and(x,or(y,z)) -> or(and(x,y),and(x,z))
    and(or(y,z),x) -> or(and(x,y),and(x,z))
   graph:
    and#(or(y,z),x) -> and#(x,z) -> and#(or(y,z),x) -> and#(x,y)
    and#(or(y,z),x) -> and#(x,z) -> and#(or(y,z),x) -> and#(x,z)
    and#(or(y,z),x) -> and#(x,z) -> and#(x,or(y,z)) -> and#(x,y)
    and#(or(y,z),x) -> and#(x,z) -> and#(x,or(y,z)) -> and#(x,z)
    and#(or(y,z),x) -> and#(x,y) -> and#(or(y,z),x) -> and#(x,y)
    and#(or(y,z),x) -> and#(x,y) -> and#(or(y,z),x) -> and#(x,z)
    and#(or(y,z),x) -> and#(x,y) -> and#(x,or(y,z)) -> and#(x,y)
    and#(or(y,z),x) -> and#(x,y) -> and#(x,or(y,z)) -> and#(x,z)
    and#(x,or(y,z)) -> and#(x,z) -> and#(or(y,z),x) -> and#(x,y)
    and#(x,or(y,z)) -> and#(x,z) -> and#(or(y,z),x) -> and#(x,z)
    and#(x,or(y,z)) -> and#(x,z) -> and#(x,or(y,z)) -> and#(x,y)
    and#(x,or(y,z)) -> and#(x,z) -> and#(x,or(y,z)) -> and#(x,z)
    and#(x,or(y,z)) -> and#(x,y) -> and#(or(y,z),x) -> and#(x,y)
    and#(x,or(y,z)) -> and#(x,y) -> and#(or(y,z),x) -> and#(x,z)
    and#(x,or(y,z)) -> and#(x,y) -> and#(x,or(y,z)) -> and#(x,y)
    and#(x,or(y,z)) -> and#(x,y) -> and#(x,or(y,z)) -> and#(x,z)
    not#(and(x,y)) -> not#(y) -> not#(and(x,y)) -> not#(x)
    not#(and(x,y)) -> not#(y) -> not#(and(x,y)) -> not#(y)
    not#(and(x,y)) -> not#(y) -> not#(or(x,y)) -> and#(not(x),not(y))
    not#(and(x,y)) -> not#(y) -> not#(or(x,y)) -> not#(x)
    not#(and(x,y)) -> not#(y) -> not#(or(x,y)) -> not#(y)
    not#(and(x,y)) -> not#(x) -> not#(and(x,y)) -> not#(x)
    not#(and(x,y)) -> not#(x) -> not#(and(x,y)) -> not#(y)
    not#(and(x,y)) -> not#(x) -> not#(or(x,y)) -> and#(not(x),not(y))
    not#(and(x,y)) -> not#(x) -> not#(or(x,y)) -> not#(x)
    not#(and(x,y)) -> not#(x) -> not#(or(x,y)) -> not#(y)
    not#(or(x,y)) -> and#(not(x),not(y)) ->
    and#(or(y,z),x) -> and#(x,y)
    not#(or(x,y)) -> and#(not(x),not(y)) ->
    and#(or(y,z),x) -> and#(x,z)
    not#(or(x,y)) -> and#(not(x),not(y)) ->
    and#(x,or(y,z)) -> and#(x,y)
    not#(or(x,y)) -> and#(not(x),not(y)) -> and#(x,or(y,z)) -> and#(x,z)
    not#(or(x,y)) -> not#(y) -> not#(and(x,y)) -> not#(x)
    not#(or(x,y)) -> not#(y) -> not#(and(x,y)) -> not#(y)
    not#(or(x,y)) -> not#(y) -> not#(or(x,y)) -> and#(not(x),not(y))
    not#(or(x,y)) -> not#(y) -> not#(or(x,y)) -> not#(x)
    not#(or(x,y)) -> not#(y) -> not#(or(x,y)) -> not#(y)
    not#(or(x,y)) -> not#(x) -> not#(and(x,y)) -> not#(x)
    not#(or(x,y)) -> not#(x) -> not#(and(x,y)) -> not#(y)
    not#(or(x,y)) -> not#(x) -> not#(or(x,y)) -> and#(not(x),not(y))
    not#(or(x,y)) -> not#(x) -> not#(or(x,y)) -> not#(x)
    not#(or(x,y)) -> not#(x) -> not#(or(x,y)) -> not#(y)
   SCC Processor:
    #sccs: 2
    #rules: 8
    #arcs: 40/81
    DPs:
     not#(and(x,y)) -> not#(y)

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