details

property	value
status	complete
benchmark	AC08.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n144.star.cs.uiowa.edu
space	Mixed_AC_and_C

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.0639941 seconds
cpu usage	0.043159
user time	0.026788
system time	0.016371
max virtual memory	113188.0
max residence set size	6588.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: AC symbols: or and C symbols: eq neq 1: eq(x,x) -> true() 2: not(eq(x,y)) -> neq(x,y) 3: not(neq(x,y)) -> eq(x,y) 4: not(true()) -> false() 5: not(false()) -> true() 6: not(not(x)) -> x 7: not(and(x,y)) -> or(not(x),not(y)) 8: not(or(x,y)) -> and(not(x),not(y)) 9: neq(x,x) -> false() 10: or(and(x,y),z) -> and(or(x,z),or(y,z)) 11: or(x,x) -> x 12: or(x,true()) -> true() 13: or(x,false()) -> x 14: and(x,x) -> x 15: and(x,true()) -> x 16: and(x,false()) -> false() 17: and(x,or(x,y)) -> x Number of strict rules: 17 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #not(eq(x,y)) -> #neq(x,y) #2: #not(and(x,y)) -> #or(not(x),not(y)) #3: #not(and(x,y)) -> #not(x) #4: #not(and(x,y)) -> #not(y) #5: #or(and(x,y),z) -> #and(or(x,z),or(y,z)) #6: #or(and(x,y),z) -> #or(x,z) #7: #or(and(x,y),z) -> #or(y,z) #8: #and(x,and(y,z)) ->= #and(and(x,y),z) #9: #and(x,and(y,z)) ->= #and(x,y) #10: #not(neq(x,y)) -> #eq(x,y) #11: #not(or(x,y)) -> #and(not(x),not(y)) #12: #not(or(x,y)) -> #not(x) #13: #not(or(x,y)) -> #not(y) #14: #or(x,or(y,z)) ->= #or(or(x,y),z) #15: #or(x,or(y,z)) ->= #or(x,y) Number of SCCs: 3, DPs: 10 SCC { #8 #9 } only weak rules. Number of SCCs: 2, DPs: 8 SCC { #3 #4 #12 #13 } POLO(Sum)... succeeded. neq w: 0 and w: x1 + x2 + 1 eq w: 0 false w: 0 true w: 0 #eq w: 0 #not w: x1 #neq w: 0 or w: x1 + x2 + 1 #or w: 0 #and w: 0 not w: 0 USABLE RULES: { } Removed DPs: #3 #4 #12 #13 Number of SCCs: 1, DPs: 4 SCC { #6 #7 #14 #15 } POLO(Sum)... POLO(max)... QLPOS... succeeded. neq s: {} p: 0 and s: {1,2} p: 1 eq s: {} p: 0 false s: [] p: 0 true s: [] p: 0 #eq s: {} p: 0 #not s: [] p: 0 #neq s: {} p: 0 or s: {1,2} p: 2 #or s: {1,2} p: 2 #and s: {} p: 1 not s: [] p: 0 USABLE RULES: { 10..19 } Removed DPs: #6 #7 #15 Number of SCCs: 1, DPs: 1 SCC { #14 } only weak rules. Number of SCCs: 0, DPs: 0 Next Dependency Pairs: #16: #or(or(x,false()),_1) -> #or(x,_1) #17: #or(or(x,x),_1) -> #or(x,_1) #18: #or(or(x,true()),_1) -> #or(true(),_1) #19: #and(and(x,x),_1) -> #and(x,_1) #20: #or(or(and(x,y),z),_1) -> #or(and(or(x,z),or(y,z)),_1) #21: #and(and(x,or(x,y)),_1) -> #and(x,_1) #22: #and(x,and(y,z)) ->= #and(and(x,y),z) #23: #and(x,and(y,z)) ->= #and(x,y) #24: #and(and(x,false()),_1) -> #and(false(),_1) #25: #and(and(x,true()),_1) -> #and(x,_1) #26: #or(x,or(y,z)) ->= #or(or(x,y),z) #27: #or(x,or(y,z)) ->= #or(x,y) Number of SCCs: 2, DPs: 12 SCC { #19 #21..25 } POLO(Sum)... succeeded. neq w: 0 and w: x1 + x2 + 1 eq w: 0 popout

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

job log

popout

actions

all output return to TRS Equational