details

property	value
status	complete
benchmark	wiehe07.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n072.star.cs.uiowa.edu
space	AProVE_07

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.66497 seconds
cpu usage	0.69
user time	0.64
system time	0.05
max virtual memory	361296.0
max residence set size	9348.0

stage attributes

key	value
starexec-result	MAYBE

output

MAYBE Input TRS: 1: times(x,plus(y,s(z))) -> plus(times(x,plus(y,times(s(z),0()))),times(x,s(z))) 2: times(x,0()) -> 0() 3: times(x,s(y)) -> plus(times(x,y),x) 4: plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) 5: plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) 6: plus(zero(),y) -> y 7: plus(id(x),s(y)) -> s(plus(x,if(gt(s(y),y),y,s(y)))) 8: id(x) -> x 9: if(true(),x,y) -> x 10: if(false(),x,y) -> y 11: not(x) -> if(x,false(),true()) 12: gt(s(x),zero()) -> true() 13: gt(zero(),y) -> false() 14: gt(s(x),s(y)) -> gt(x,y) Number of strict rules: 14 Direct POLO(bPol) ... failed. Uncurrying gt 1: times(x,plus(y,s(z))) -> plus(times(x,plus(y,times(s(z),0()))),times(x,s(z))) 2: times(x,0()) -> 0() 3: times(x,s(y)) -> plus(times(x,y),x) 4: plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) 5: plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) 6: plus(zero(),y) -> y 7: plus(id(x),s(y)) -> s(plus(x,if(gt^1_s(y,y),y,s(y)))) 8: id(x) -> x 9: if(true(),x,y) -> x 10: if(false(),x,y) -> y 11: not(x) -> if(x,false(),true()) 12: gt^1_s(x,zero()) -> true() 13: gt^1_zero(y) -> false() 14: gt^1_s(x,s(y)) -> gt(x,y) 15: gt(zero(),_1) ->= gt^1_zero(_1) 16: gt(s(_1),_2) ->= gt^1_s(_1,_2) Number of strict rules: 14 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #not(x) -> #if(x,false(),true()) #2: #gt^1_s(x,s(y)) -> #gt(x,y) #3: #plus(id(x),s(y)) -> #plus(x,if(gt^1_s(y,y),y,s(y))) #4: #plus(id(x),s(y)) -> #if(gt^1_s(y,y),y,s(y)) #5: #plus(id(x),s(y)) -> #gt^1_s(y,y) #6: #plus(s(x),x) -> #plus(if(gt(x,x),id(x),id(x)),s(x)) #7: #plus(s(x),x) -> #if(gt(x,x),id(x),id(x)) #8: #plus(s(x),x) -> #gt(x,x) #9: #plus(s(x),x) -> #id(x) #10: #plus(s(x),x) -> #id(x) #11: #gt(s(_1),_2) ->? #gt^1_s(_1,_2) #12: #times(x,s(y)) -> #plus(times(x,y),x) #13: #times(x,s(y)) -> #times(x,y) #14: #times(x,plus(y,s(z))) -> #plus(times(x,plus(y,times(s(z),0()))),times(x,s(z))) #15: #times(x,plus(y,s(z))) -> #times(x,plus(y,times(s(z),0()))) #16: #times(x,plus(y,s(z))) -> #plus(y,times(s(z),0())) #17: #times(x,plus(y,s(z))) -> #times(s(z),0()) #18: #times(x,plus(y,s(z))) -> #times(x,s(z)) #19: #gt(zero(),_1) ->? #gt^1_zero(_1) #20: #plus(s(x),s(y)) -> #plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))) #21: #plus(s(x),s(y)) -> #if(gt(x,y),x,y) #22: #plus(s(x),s(y)) -> #gt(x,y) #23: #plus(s(x),s(y)) -> #if(not(gt(x,y)),id(x),id(y)) #24: #plus(s(x),s(y)) -> #not(gt(x,y)) #25: #plus(s(x),s(y)) -> #gt(x,y) #26: #plus(s(x),s(y)) -> #id(x) #27: #plus(s(x),s(y)) -> #id(y) Number of SCCs: 3, DPs: 8 SCC { #2 #11 } POLO(Sum)... succeeded. zero w: 0 s w: x1 + 1 gt w: 0 #gt^1_zero w: 0 #plus w: 0 false w: 0 #id w: 0 gt^1_zero w: 0 true w: 0 #not w: 0 #times w: 0 0 w: 0 if w: 0 times w: 0 #gt w: x1 + x2 plus w: 0 gt^1_s w: 0 #if w: 0 id w: 0 #gt^1_s w: x1 + x2 not w: 0 USABLE RULES: { } Removed DPs: #2 #11 Number of SCCs: 2, DPs: 6 SCC { #13 #15 #18 } POLO(Sum)... POLO(max)... succeeded. zero w: 0 s w: x1 gt w: max(x1 + 2, x2 + 20539) #gt^1_zero w: 0 #plus w: 0 false w: 2998 popout

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actions

all output return to TRS Standard