TRS Standard pair #615296644

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	n052.star.cs.uiowa.edu
space	Der95

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	0.814475059509 seconds
cpu usage	1.968062306
max memory	3.72412416E8

stage attributes

key	value
output-size	5690
starexec-result	"YES"

output

/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/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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