TRS_Equational 2019-03-21 05.09 pair #429997233

details

property	value
status	complete
benchmark	AC21.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n042.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	NaTT
configuration	Default
runtime (wallclock)	0.203642 seconds
cpu usage	0.120379
user time	0.076157
system time	0.044222
max virtual memory	113176.0
max residence set size	8868.0

stage attributes

key	value
starexec-result	MAYBE

output

0.00/0.20	MAYBE
0.00/0.20	Input TRS:
0.00/0.20	    AC symbols: plus times
0.00/0.20	    1: 0(S()) -> S()
0.00/0.20	    2: plus(S(),x) -> x
0.00/0.20	    3: plus(0(x),0(y)) -> 0(plus(x,y))
0.00/0.20	    4: plus(0(x),1(y)) -> 1(plus(x,y))
0.00/0.20	    5: plus(0(x),j(y)) -> j(plus(x,y))
0.00/0.20	    6: plus(1(x),1(y)) -> j(plus(1(S()),plus(x,y)))
0.00/0.20	    7: plus(j(x),j(y)) -> 1(plus(j(S()),plus(x,y)))
0.00/0.20	    8: plus(1(x),j(y)) -> 0(plus(x,y))
0.00/0.20	    9: opp(S()) -> S()
0.00/0.20	    10: opp(0(x)) -> 0(opp(x))
0.00/0.20	    11: opp(1(x)) -> j(opp(x))
0.00/0.20	    12: opp(j(x)) -> 1(opp(x))
0.00/0.20	    13: minus(x,y) -> plus(opp(y),x)
0.00/0.20	    14: times(S(),x) -> S()
0.00/0.20	    15: times(0(x),y) -> 0(times(x,y))
0.00/0.20	    16: times(1(x),y) -> plus(0(times(x,y)),y)
0.00/0.20	    17: times(j(x),y) -> minus(0(times(x,y)),y)
0.00/0.20	    18: sign(x) -> if_sign(x,S())
0.00/0.20	    19: if_sign(S(),x) -> x
0.00/0.20	    20: if_sign(0(x),y) -> if_sign(x,y)
0.00/0.20	    21: if_sign(1(x),y) -> if_sign(x,1(S()))
0.00/0.20	    22: if_sign(j(x),y) -> if_sign(x,j(S()))
0.00/0.20	    23: abs(x) -> if_abs(x,x,S())
0.00/0.20	    24: if_abs(0(x),y,z) -> if_abs(x,y,z)
0.00/0.20	    25: if_abs(1(x),y,z) -> if_abs(x,y,1(S()))
0.00/0.20	    26: if_abs(j(x),y,z) -> if_abs(x,y,j(S()))
0.00/0.20	    27: if_abs(S(),x,S()) -> S()
0.00/0.20	    28: if_abs(S(),x,1(S())) -> x
0.00/0.20	    29: if_abs(S(),x,j(S())) -> opp(x)
0.00/0.20	    30: min(x,y) -> if_min(minus(abs(y),abs(x)),x,y,S())
0.00/0.20	    31: min'(x,y) -> if_min(minus(abs(1(y)),abs(1(x))),x,y,S())
0.00/0.20	    32: min''(x,y) -> if_min(minus(abs(j(y)),abs(j(x))),x,y,S())
0.00/0.20	    33: if_min(0(x),y,z,u) -> if_min(x,y,z,u)
0.00/0.20	    34: if_min(1(x),y,z,u) -> if_min(x,y,z,1(S()))
0.00/0.20	    35: if_min(j(x),y,z,u) -> if_min(x,y,z,j(S()))
0.00/0.20	    36: if_min(S(),x,y,S()) -> x
0.00/0.20	    37: if_min(S(),x,y,1(S())) -> x
0.00/0.20	    38: if_min(S(),x,y,j(S())) -> y
0.00/0.20	Number of strict rules: 38
0.00/0.20	Direct POLO(bPol) ... failed.
0.00/0.20	Uncurrying ... failed.
0.00/0.20	Dependency Pairs:
0.00/0.20	   #1: #if_abs(S(),x,j(S())) -> #opp(x)
0.00/0.20	   #2: #if_min(j(x),y,z,u) -> #if_min(x,y,z,j(S()))
0.00/0.20	   #3: #plus(1(x),1(y)) -> #plus(1(S()),plus(x,y))
0.00/0.20	   #4: #plus(1(x),1(y)) -> #plus(x,y)
0.00/0.20	   #5: #times(x,times(y,z)) ->= #times(times(x,y),z)
0.00/0.20	   #6: #times(x,times(y,z)) ->= #times(x,y)
0.00/0.20	   #7: #minus(x,y) -> #plus(opp(y),x)
0.00/0.20	   #8: #minus(x,y) -> #opp(y)
0.00/0.20	   #9: #opp(1(x)) -> #opp(x)
0.00/0.20	   #10: #if_abs(0(x),y,z) -> #if_abs(x,y,z)
0.00/0.20	   #11: #abs(x) -> #if_abs(x,x,S())
0.00/0.20	   #12: #opp(j(x)) -> #opp(x)
0.00/0.20	   #13: #min'(x,y) -> #if_min(minus(abs(1(y)),abs(1(x))),x,y,S())
0.00/0.20	   #14: #min'(x,y) -> #minus(abs(1(y)),abs(1(x)))
0.00/0.20	   #15: #min'(x,y) -> #abs(1(y))
0.00/0.20	   #16: #min'(x,y) -> #abs(1(x))
0.00/0.20	   #17: #min(x,y) -> #if_min(minus(abs(y),abs(x)),x,y,S())
0.00/0.20	   #18: #min(x,y) -> #minus(abs(y),abs(x))
0.00/0.20	   #19: #min(x,y) -> #abs(y)
0.00/0.20	   #20: #min(x,y) -> #abs(x)
0.00/0.20	   #21: #if_abs(1(x),y,z) -> #if_abs(x,y,1(S()))
0.00/0.20	   #22: #if_sign(0(x),y) -> #if_sign(x,y)
0.00/0.20	   #23: #plus(j(x),j(y)) -> #plus(j(S()),plus(x,y))
0.00/0.20	   #24: #plus(j(x),j(y)) -> #plus(x,y)
0.00/0.20	   #25: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z)
0.00/0.20	   #26: #plus(x,plus(y,z)) ->= #plus(x,y)
0.00/0.20	   #27: #opp(0(x)) -> #0(opp(x))
0.00/0.20	   #28: #opp(0(x)) -> #opp(x)
0.00/0.20	   #29: #if_min(0(x),y,z,u) -> #if_min(x,y,z,u)
0.00/0.20	   #30: #plus(0(x),j(y)) -> #plus(x,y)
0.00/0.20	   #31: #if_sign(j(x),y) -> #if_sign(x,j(S()))
0.00/0.20	   #32: #if_min(1(x),y,z,u) -> #if_min(x,y,z,1(S()))
0.00/0.20	   #33: #times(j(x),y) -> #minus(0(times(x,y)),y)
0.00/0.20	   #34: #times(j(x),y) -> #0(times(x,y))
0.00/0.20	   #35: #times(j(x),y) -> #times(x,y)
0.00/0.20	   #36: #min''(x,y) -> #if_min(minus(abs(j(y)),abs(j(x))),x,y,S())
0.00/0.20	   #37: #min''(x,y) -> #minus(abs(j(y)),abs(j(x)))
0.00/0.20	   #38: #min''(x,y) -> #abs(j(y))
0.00/0.20	   #39: #min''(x,y) -> #abs(j(x))
0.00/0.20	   #40: #if_abs(j(x),y,z) -> #if_abs(x,y,j(S()))
0.00/0.20	   #41: #if_sign(1(x),y) -> #if_sign(x,1(S()))
0.00/0.20	   #42: #times(1(x),y) -> #plus(0(times(x,y)),y)
0.00/0.20	   #43: #times(1(x),y) -> #0(times(x,y))
0.00/0.20	   #44: #times(1(x),y) -> #times(x,y)
0.00/0.20	   #45: #plus(0(x),0(y)) -> #0(plus(x,y))
0.00/0.20	   #46: #plus(0(x),0(y)) -> #plus(x,y)
0.00/0.20	   #47: #plus(1(x),j(y)) -> #0(plus(x,y))
0.00/0.20	   #48: #plus(1(x),j(y)) -> #plus(x,y)
0.00/0.20	   #49: #times(0(x),y) -> #0(times(x,y))
0.00/0.20	   #50: #times(0(x),y) -> #times(x,y)
0.00/0.20	   #51: #plus(0(x),1(y)) -> #plus(x,y)
0.00/0.20	   #52: #sign(x) -> #if_sign(x,S())
0.00/0.20	Number of SCCs: 6, DPs: 27
0.00/0.20	  SCC { #9 #12 #28 }
0.00/0.20	POLO(Sum)... succeeded.

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job log

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actions all output return to TRS_Equational 2019-03-21 05.09