details

property	value
status	complete
benchmark	differ.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n036.star.cs.uiowa.edu
space	Mixed_AC

run statistics

property	value
solver	NaTT
configuration	Default
runtime (wallclock)	0.0312239 seconds
cpu usage	0.021262
user time	0.007662
system time	0.0136
max virtual memory	113176.0
max residence set size	6168.0

stage attributes

key	value
starexec-result	YES

output

0.00/0.02 YES 0.00/0.03 Input TRS: 0.00/0.03 AC symbols: + * 0.00/0.03 1: dx(X()) -> 1() 0.00/0.03 2: dx(0()) -> 0() 0.00/0.03 3: dx(1()) -> 0() 0.00/0.03 4: dx(a()) -> 0() 0.00/0.03 5: dx(+(f,g)) -> +(dx(f),dx(g)) 0.00/0.03 6: dx(*(f,g)) -> +(*(dx(f),g),*(dx(g),f)) 0.00/0.03 7: dx(-(f,g)) -> -(dx(f),dx(g)) 0.00/0.03 8: dx(neg(f)) -> neg(dx(f)) 0.00/0.03 9: dx(/(f,g)) -> -(/(dx(f),g),/(*(dx(g),f),exp(g,2()))) 0.00/0.03 10: dx(ln(f)) -> /(dx(f),f) 0.00/0.03 11: dx(exp(f,g)) -> +(*(dx(f),*(exp(f,-(g,1())),g)),*(dx(g),*(exp(f,g),ln(f)))) 0.00/0.03 Number of strict rules: 11 0.00/0.03 Direct POLO(bPol) ... failed. 0.00/0.03 Uncurrying ... failed. 0.00/0.03 Dependency Pairs: 0.00/0.03 #1: #dx(*(f,g)) -> #+(*(dx(f),g),*(dx(g),f)) 0.00/0.03 #2: #dx(*(f,g)) -> #*(dx(f),g) 0.00/0.03 #3: #dx(*(f,g)) -> #dx(f) 0.00/0.03 #4: #dx(*(f,g)) -> #*(dx(g),f) 0.00/0.03 #5: #dx(*(f,g)) -> #dx(g) 0.00/0.03 #6: #*(x,*(y,z)) ->= #*(*(x,y),z) 0.00/0.03 #7: #*(x,*(y,z)) ->= #*(x,y) 0.00/0.03 #8: #dx(/(f,g)) -> #dx(f) 0.00/0.03 #9: #dx(/(f,g)) -> #*(dx(g),f) 0.00/0.03 #10: #dx(/(f,g)) -> #dx(g) 0.00/0.03 #11: #dx(exp(f,g)) -> #+(*(dx(f),*(exp(f,-(g,1())),g)),*(dx(g),*(exp(f,g),ln(f)))) 0.00/0.03 #12: #dx(exp(f,g)) -> #*(dx(f),*(exp(f,-(g,1())),g)) 0.00/0.03 #13: #dx(exp(f,g)) -> #dx(f) 0.00/0.03 #14: #dx(exp(f,g)) -> #*(exp(f,-(g,1())),g) 0.00/0.03 #15: #dx(exp(f,g)) -> #*(dx(g),*(exp(f,g),ln(f))) 0.00/0.03 #16: #dx(exp(f,g)) -> #dx(g) 0.00/0.03 #17: #dx(exp(f,g)) -> #*(exp(f,g),ln(f)) 0.00/0.03 #18: #+(x,+(y,z)) ->= #+(+(x,y),z) 0.00/0.03 #19: #+(x,+(y,z)) ->= #+(x,y) 0.00/0.03 #20: #dx(-(f,g)) -> #dx(f) 0.00/0.03 #21: #dx(-(f,g)) -> #dx(g) 0.00/0.03 #22: #dx(ln(f)) -> #dx(f) 0.00/0.03 #23: #dx(+(f,g)) -> #+(dx(f),dx(g)) 0.00/0.03 #24: #dx(+(f,g)) -> #dx(f) 0.00/0.03 #25: #dx(+(f,g)) -> #dx(g) 0.00/0.03 #26: #dx(neg(f)) -> #dx(f) 0.00/0.03 Number of SCCs: 3, DPs: 16 0.00/0.03 SCC { #6 #7 } 0.00/0.03 only weak rules. 0.00/0.03 Number of SCCs: 2, DPs: 14 0.00/0.03 SCC { #18 #19 } 0.00/0.03 only weak rules. 0.00/0.03 Number of SCCs: 1, DPs: 12 0.00/0.03 SCC { #3 #5 #8 #10 #13 #16 #20..22 #24..26 } 0.00/0.03 POLO(Sum)... succeeded. 0.00/0.03 a w: 0 0.00/0.03 1 w: 0 0.00/0.03 ln w: x1 + 1 0.00/0.03 / w: x1 + x2 + 1 0.00/0.03 #dx w: x1 0.00/0.03 dx w: 0 0.00/0.03 0 w: 0 0.00/0.03 - w: x1 + x2 + 1 0.00/0.03 neg w: x1 + 1 0.00/0.03 2 w: 0 0.00/0.03 exp w: x1 + x2 + 1 0.00/0.03 + w: x1 + x2 + 1 0.00/0.03 X w: 0 0.00/0.03 * w: x1 + x2 + 1 0.00/0.03 USABLE RULES: { } 0.00/0.03 Removed DPs: #3 #5 #8 #10 #13 #16 #20..22 #24..26 0.00/0.03 Number of SCCs: 0, DPs: 0 0.00/0.03 Next Dependency Pairs: 0.00/0.03 #27: #*(x,*(y,z)) ->= #*(*(x,y),z) 0.00/0.03 #28: #*(x,*(y,z)) ->= #*(x,y) 0.00/0.03 #29: #+(x,+(y,z)) ->= #+(+(x,y),z) 0.00/0.03 #30: #+(x,+(y,z)) ->= #+(x,y) 0.00/0.03 Number of SCCs: 2, DPs: 4 0.00/0.03 SCC { #27 #28 } 0.00/0.03 only weak rules. 0.00/0.03 Number of SCCs: 1, DPs: 2 0.00/0.03 SCC { #29 #30 } 0.00/0.03 only weak rules. 0.00/0.03 Number of SCCs: 0, DPs: 0 0.00/0.03 EOF popout

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job log

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actions

all output return to TRS_Equational 2019-03-21 05.09