TRS Standard pair #516962278

details

property	value
status	complete
benchmark	ExAppendixB_AEL03_iGM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n090.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	NaTT 2.1
configuration	default
runtime (wallclock)	2.12734913826 seconds
cpu usage	2.482967578
max memory	4.7947776E7

stage attributes

key	value
output-size	31278
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES
Input TRS:
    1: active(from(X)) -> mark(cons(X,from(s(X))))
    2: active(2ndspos(0(),Z)) -> mark(rnil())
    3: active(2ndspos(s(N),cons(X,Z))) -> mark(2ndspos(s(N),cons2(X,Z)))
    4: active(2ndspos(s(N),cons2(X,cons(Y,Z)))) -> mark(rcons(posrecip(Y),2ndsneg(N,Z)))
    5: active(2ndsneg(0(),Z)) -> mark(rnil())
    6: active(2ndsneg(s(N),cons(X,Z))) -> mark(2ndsneg(s(N),cons2(X,Z)))
    7: active(2ndsneg(s(N),cons2(X,cons(Y,Z)))) -> mark(rcons(negrecip(Y),2ndspos(N,Z)))
    8: active(pi(X)) -> mark(2ndspos(X,from(0())))
    9: active(plus(0(),Y)) -> mark(Y)
    10: active(plus(s(X),Y)) -> mark(s(plus(X,Y)))
    11: active(times(0(),Y)) -> mark(0())
    12: active(times(s(X),Y)) -> mark(plus(Y,times(X,Y)))
    13: active(square(X)) -> mark(times(X,X))
    14: mark(from(X)) -> active(from(mark(X)))
    15: mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
    16: mark(s(X)) -> active(s(mark(X)))
    17: mark(2ndspos(X1,X2)) -> active(2ndspos(mark(X1),mark(X2)))
    18: mark(0()) -> active(0())
    19: mark(rnil()) -> active(rnil())
    20: mark(cons2(X1,X2)) -> active(cons2(X1,mark(X2)))
    21: mark(rcons(X1,X2)) -> active(rcons(mark(X1),mark(X2)))
    22: mark(posrecip(X)) -> active(posrecip(mark(X)))
    23: mark(2ndsneg(X1,X2)) -> active(2ndsneg(mark(X1),mark(X2)))
    24: mark(negrecip(X)) -> active(negrecip(mark(X)))
    25: mark(pi(X)) -> active(pi(mark(X)))
    26: mark(plus(X1,X2)) -> active(plus(mark(X1),mark(X2)))
    27: mark(times(X1,X2)) -> active(times(mark(X1),mark(X2)))
    28: mark(square(X)) -> active(square(mark(X)))
    29: from(mark(X)) -> from(X)
    30: from(active(X)) -> from(X)
    31: cons(mark(X1),X2) -> cons(X1,X2)
    32: cons(X1,mark(X2)) -> cons(X1,X2)
    33: cons(active(X1),X2) -> cons(X1,X2)
    34: cons(X1,active(X2)) -> cons(X1,X2)
    35: s(mark(X)) -> s(X)
    36: s(active(X)) -> s(X)
    37: 2ndspos(mark(X1),X2) -> 2ndspos(X1,X2)
    38: 2ndspos(X1,mark(X2)) -> 2ndspos(X1,X2)
    39: 2ndspos(active(X1),X2) -> 2ndspos(X1,X2)
    40: 2ndspos(X1,active(X2)) -> 2ndspos(X1,X2)
    41: cons2(mark(X1),X2) -> cons2(X1,X2)
    42: cons2(X1,mark(X2)) -> cons2(X1,X2)
    43: cons2(active(X1),X2) -> cons2(X1,X2)
    44: cons2(X1,active(X2)) -> cons2(X1,X2)
    45: rcons(mark(X1),X2) -> rcons(X1,X2)
    46: rcons(X1,mark(X2)) -> rcons(X1,X2)
    47: rcons(active(X1),X2) -> rcons(X1,X2)
    48: rcons(X1,active(X2)) -> rcons(X1,X2)
    49: posrecip(mark(X)) -> posrecip(X)
    50: posrecip(active(X)) -> posrecip(X)
    51: 2ndsneg(mark(X1),X2) -> 2ndsneg(X1,X2)
    52: 2ndsneg(X1,mark(X2)) -> 2ndsneg(X1,X2)
    53: 2ndsneg(active(X1),X2) -> 2ndsneg(X1,X2)
    54: 2ndsneg(X1,active(X2)) -> 2ndsneg(X1,X2)
    55: negrecip(mark(X)) -> negrecip(X)
    56: negrecip(active(X)) -> negrecip(X)
    57: pi(mark(X)) -> pi(X)
    58: pi(active(X)) -> pi(X)
    59: plus(mark(X1),X2) -> plus(X1,X2)
    60: plus(X1,mark(X2)) -> plus(X1,X2)
    61: plus(active(X1),X2) -> plus(X1,X2)
    62: plus(X1,active(X2)) -> plus(X1,X2)
    63: times(mark(X1),X2) -> times(X1,X2)
    64: times(X1,mark(X2)) -> times(X1,X2)
    65: times(active(X1),X2) -> times(X1,X2)
    66: times(X1,active(X2)) -> times(X1,X2)
    67: square(mark(X)) -> square(X)
    68: square(active(X)) -> square(X)
Number of strict rules: 68
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #active(2ndspos(0(),Z)) -> #mark(rnil())
   #2: #cons2(active(X1),X2) -> #cons2(X1,X2)
   #3: #from(mark(X)) -> #from(X)
   #4: #s(mark(X)) -> #s(X)
   #5: #times(X1,active(X2)) -> #times(X1,X2)
   #6: #rcons(X1,mark(X2)) -> #rcons(X1,X2)
   #7: #cons2(X1,mark(X2)) -> #cons2(X1,X2)
   #8: #cons2(mark(X1),X2) -> #cons2(X1,X2)
   #9: #2ndspos(mark(X1),X2) -> #2ndspos(X1,X2)
   #10: #rcons(active(X1),X2) -> #rcons(X1,X2)
   #11: #2ndsneg(active(X1),X2) -> #2ndsneg(X1,X2)
   #12: #rcons(X1,active(X2)) -> #rcons(X1,X2)
   #13: #pi(active(X)) -> #pi(X)
   #14: #plus(active(X1),X2) -> #plus(X1,X2)
   #15: #2ndspos(X1,mark(X2)) -> #2ndspos(X1,X2)
   #16: #active(2ndsneg(s(N),cons(X,Z))) -> #mark(2ndsneg(s(N),cons2(X,Z)))
   #17: #active(2ndsneg(s(N),cons(X,Z))) -> #2ndsneg(s(N),cons2(X,Z))
   #18: #active(2ndsneg(s(N),cons(X,Z))) -> #cons2(X,Z)
   #19: #plus(mark(X1),X2) -> #plus(X1,X2)
   #20: #negrecip(mark(X)) -> #negrecip(X)

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