TRS Standard pair #516962644

details

property	value
status	complete
benchmark	LengthOfFiniteLists_nokinds_C.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n141.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	15.6457550526 seconds
cpu usage	55.610213073
max memory	8.17569792E8

stage attributes

key	value
output-size	120727
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(zeros()) -> mark(cons(0(),zeros()))
 active(U11(tt(),L)) -> mark(s(length(L)))
 active(and(tt(),X)) -> mark(X)
 active(isNat(0())) -> mark(tt())
 active(isNat(length(V1))) -> mark(isNatList(V1))
 active(isNat(s(V1))) -> mark(isNat(V1))
 active(isNatIList(V)) -> mark(isNatList(V))
 active(isNatIList(zeros())) -> mark(tt())
 active(isNatIList(cons(V1,V2))) -> mark(and(isNat(V1),isNatIList(V2)))
 active(isNatList(nil())) -> mark(tt())
 active(isNatList(cons(V1,V2))) -> mark(and(isNat(V1),isNatList(V2)))
 active(length(nil())) -> mark(0())
 active(length(cons(N,L))) -> mark(U11(and(isNatList(L),isNat(N)),L))
 active(cons(X1,X2)) -> cons(active(X1),X2)
 active(U11(X1,X2)) -> U11(active(X1),X2)
 active(s(X)) -> s(active(X))
 active(length(X)) -> length(active(X))
 active(and(X1,X2)) -> and(active(X1),X2)
 cons(mark(X1),X2) -> mark(cons(X1,X2))
 U11(mark(X1),X2) -> mark(U11(X1,X2))
 s(mark(X)) -> mark(s(X))
 length(mark(X)) -> mark(length(X))
 and(mark(X1),X2) -> mark(and(X1,X2))
 proper(zeros()) -> ok(zeros())
 proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
 proper(0()) -> ok(0())
 proper(U11(X1,X2)) -> U11(proper(X1),proper(X2))
 proper(tt()) -> ok(tt())
 proper(s(X)) -> s(proper(X))
 proper(length(X)) -> length(proper(X))
 proper(and(X1,X2)) -> and(proper(X1),proper(X2))
 proper(isNat(X)) -> isNat(proper(X))
 proper(isNatList(X)) -> isNatList(proper(X))
 proper(isNatIList(X)) -> isNatIList(proper(X))
 proper(nil()) -> ok(nil())
 cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
 U11(ok(X1),ok(X2)) -> ok(U11(X1,X2))
 s(ok(X)) -> ok(s(X))
 length(ok(X)) -> ok(length(X))
 and(ok(X1),ok(X2)) -> ok(and(X1,X2))
 isNat(ok(X)) -> ok(isNat(X))
 isNatList(ok(X)) -> ok(isNatList(X))
 isNatIList(ok(X)) -> ok(isNatIList(X))
 top(mark(X)) -> top(proper(X))
 top(ok(X)) -> top(active(X))

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [mark](x0) = x0,
   
   [ok](x0) = x0,
   
   [s](x0) = 2x0,
   
   [active](x0) = x0,
   
   [cons](x0, x1) = 2x0 + 3x1,
   
   [top](x0) = x0,
   
   [tt] = 0,
   
   [isNat](x0) = x0,
   
   [zeros] = 0,
   
   [length](x0) = 2x0,
   
   [proper](x0) = x0,
   
   [isNatIList](x0) = 4x0 + 1,
   
   [isNatList](x0) = x0,
   
   [and](x0, x1) = 2x0 + x1,
   
   [nil] = 0,
   
   [U11](x0, x1) = x0 + 4x1,
   
   [0] = 0
  orientation:
   active(zeros()) = 0 >= 0 = mark(cons(0(),zeros()))
   
   active(U11(tt(),L)) = 4L >= 4L = mark(s(length(L)))
   
   active(and(tt(),X)) = X >= X = mark(X)
   
   active(isNat(0())) = 0 >= 0 = mark(tt())

popout

output may be truncated. 'popout' for the full output.

job log

popout

actions all output return to TRS Standard