TRS Standard pair #615300410

details

property	value
status	complete
benchmark	PALINDROME_nosorts_C.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	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	2.23781204224 seconds
cpu usage	7.616783164
max memory	4.18934784E8

stage attributes

key	value
output-size	22909
starexec-result	"YES"

output

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


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


YES

Problem:
 active(__(__(X,Y),Z)) -> mark(__(X,__(Y,Z)))
 active(__(X,nil())) -> mark(X)
 active(__(nil(),X)) -> mark(X)
 active(and(tt(),X)) -> mark(X)
 active(isNePal(__(I,__(P,I)))) -> mark(tt())
 active(__(X1,X2)) -> __(active(X1),X2)
 active(__(X1,X2)) -> __(X1,active(X2))
 active(and(X1,X2)) -> and(active(X1),X2)
 active(isNePal(X)) -> isNePal(active(X))
 __(mark(X1),X2) -> mark(__(X1,X2))
 __(X1,mark(X2)) -> mark(__(X1,X2))
 and(mark(X1),X2) -> mark(and(X1,X2))
 isNePal(mark(X)) -> mark(isNePal(X))
 proper(__(X1,X2)) -> __(proper(X1),proper(X2))
 proper(nil()) -> ok(nil())
 proper(and(X1,X2)) -> and(proper(X1),proper(X2))
 proper(tt()) -> ok(tt())
 proper(isNePal(X)) -> isNePal(proper(X))
 __(ok(X1),ok(X2)) -> ok(__(X1,X2))
 and(ok(X1),ok(X2)) -> ok(and(X1,X2))
 isNePal(ok(X)) -> ok(isNePal(X))
 top(mark(X)) -> top(proper(X))
 top(ok(X)) -> top(active(X))

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [tt] = 0,
   
   [ok](x0) = x0,
   
   [active](x0) = x0,
   
   [nil] = 2,
   
   [and](x0, x1) = 2x0 + 4x1,
   
   [__](x0, x1) = x0 + x1,
   
   [proper](x0) = x0,
   
   [top](x0) = x0,
   
   [isNePal](x0) = 4x0,
   
   [mark](x0) = x0
  orientation:
   active(__(__(X,Y),Z)) = X + Y + Z >= X + Y + Z = mark(__(X,__(Y,Z)))
   
   active(__(X,nil())) = X + 2 >= X = mark(X)
   
   active(__(nil(),X)) = X + 2 >= X = mark(X)
   
   active(and(tt(),X)) = 4X >= X = mark(X)
   
   active(isNePal(__(I,__(P,I)))) = 8I + 4P >= 0 = mark(tt())
   
   active(__(X1,X2)) = X1 + X2 >= X1 + X2 = __(active(X1),X2)
   
   active(__(X1,X2)) = X1 + X2 >= X1 + X2 = __(X1,active(X2))
   
   active(and(X1,X2)) = 2X1 + 4X2 >= 2X1 + 4X2 = and(active(X1),X2)
   
   active(isNePal(X)) = 4X >= 4X = isNePal(active(X))
   
   __(mark(X1),X2) = X1 + X2 >= X1 + X2 = mark(__(X1,X2))
   
   __(X1,mark(X2)) = X1 + X2 >= X1 + X2 = mark(__(X1,X2))
   
   and(mark(X1),X2) = 2X1 + 4X2 >= 2X1 + 4X2 = mark(and(X1,X2))
   
   isNePal(mark(X)) = 4X >= 4X = mark(isNePal(X))
   
   proper(__(X1,X2)) = X1 + X2 >= X1 + X2 = __(proper(X1),proper(X2))
   
   proper(nil()) = 2 >= 2 = ok(nil())
   
   proper(and(X1,X2)) = 2X1 + 4X2 >= 2X1 + 4X2 = and(proper(X1),proper(X2))
   
   proper(tt()) = 0 >= 0 = ok(tt())
   
   proper(isNePal(X)) = 4X >= 4X = isNePal(proper(X))
   
   __(ok(X1),ok(X2)) = X1 + X2 >= X1 + X2 = ok(__(X1,X2))
   
   and(ok(X1),ok(X2)) = 2X1 + 4X2 >= 2X1 + 4X2 = ok(and(X1,X2))
   
   isNePal(ok(X)) = 4X >= 4X = ok(isNePal(X))
   
   top(mark(X)) = X >= X = top(proper(X))

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job log

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