TRS Standard pair #615300984

details

property	value
status	complete
benchmark	PALINDROME_nosorts_noand_C.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n134.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	1.72010207176 seconds
cpu usage	5.500636105
max memory	4.13814784E8

stage attributes

key	value
output-size	26098
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(U11(tt())) -> mark(U12(tt()))
 active(U12(tt())) -> mark(tt())
 active(isNePal(__(I,__(P,I)))) -> mark(U11(tt()))
 active(__(X1,X2)) -> __(active(X1),X2)
 active(__(X1,X2)) -> __(X1,active(X2))
 active(U11(X)) -> U11(active(X))
 active(U12(X)) -> U12(active(X))
 active(isNePal(X)) -> isNePal(active(X))
 __(mark(X1),X2) -> mark(__(X1,X2))
 __(X1,mark(X2)) -> mark(__(X1,X2))
 U11(mark(X)) -> mark(U11(X))
 U12(mark(X)) -> mark(U12(X))
 isNePal(mark(X)) -> mark(isNePal(X))
 proper(__(X1,X2)) -> __(proper(X1),proper(X2))
 proper(nil()) -> ok(nil())
 proper(U11(X)) -> U11(proper(X))
 proper(tt()) -> ok(tt())
 proper(U12(X)) -> U12(proper(X))
 proper(isNePal(X)) -> isNePal(proper(X))
 __(ok(X1),ok(X2)) -> ok(__(X1,X2))
 U11(ok(X)) -> ok(U11(X))
 U12(ok(X)) -> ok(U12(X))
 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,
   
   [proper](x0) = x0,
   
   [active](x0) = x0,
   
   [nil] = 5,
   
   [U11](x0) = 4x0 + 7,
   
   [top](x0) = 2x0,
   
   [__](x0, x1) = 3x0 + x1 + 1,
   
   [isNePal](x0) = 5x0,
   
   [ok](x0) = x0,
   
   [U12](x0) = 4x0 + 5,
   
   [mark](x0) = x0 + 2
  orientation:
   active(__(__(X,Y),Z)) = 9X + 3Y + Z + 4 >= 3X + 3Y + Z + 4 = mark(__(X,__(Y,Z)))
   
   active(__(X,nil())) = 3X + 6 >= X + 2 = mark(X)
   
   active(__(nil(),X)) = X + 16 >= X + 2 = mark(X)
   
   active(U11(tt())) = 7 >= 7 = mark(U12(tt()))
   
   active(U12(tt())) = 5 >= 2 = mark(tt())
   
   active(isNePal(__(I,__(P,I)))) = 20I + 15P + 10 >= 9 = mark(U11(tt()))
   
   active(__(X1,X2)) = 3X1 + X2 + 1 >= 3X1 + X2 + 1 = __(active(X1),X2)
   
   active(__(X1,X2)) = 3X1 + X2 + 1 >= 3X1 + X2 + 1 = __(X1,active(X2))
   
   active(U11(X)) = 4X + 7 >= 4X + 7 = U11(active(X))
   
   active(U12(X)) = 4X + 5 >= 4X + 5 = U12(active(X))
   
   active(isNePal(X)) = 5X >= 5X = isNePal(active(X))
   
   __(mark(X1),X2) = 3X1 + X2 + 7 >= 3X1 + X2 + 3 = mark(__(X1,X2))
   
   __(X1,mark(X2)) = 3X1 + X2 + 3 >= 3X1 + X2 + 3 = mark(__(X1,X2))
   
   U11(mark(X)) = 4X + 15 >= 4X + 9 = mark(U11(X))
   
   U12(mark(X)) = 4X + 13 >= 4X + 7 = mark(U12(X))
   
   isNePal(mark(X)) = 5X + 10 >= 5X + 2 = mark(isNePal(X))
   
   proper(__(X1,X2)) = 3X1 + X2 + 1 >= 3X1 + X2 + 1 = __(proper(X1),proper(X2))
   
   proper(nil()) = 5 >= 5 = ok(nil())

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