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TRS Standard pair #487073176
details
property
value
status
complete
benchmark
wiehe06.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n175.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.123151 seconds
cpu usage
0.04132
user time
0.028571
system time
0.012749
max virtual memory
113188.0
max residence set size
6984.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: times(x,plus(y,1())) -> plus(times(x,plus(y,times(1(),0()))),x) 2: times(x,1()) -> x 3: times(x,0()) -> 0() 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,1())) -> plus(times(x,plus(y,times(1(),0()))),x) 2: times(x,1()) -> x 3: times(x,0()) -> 0() 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,plus(y,1())) -> #plus(times(x,plus(y,times(1(),0()))),x) #13: #times(x,plus(y,1())) -> #times(x,plus(y,times(1(),0()))) #14: #times(x,plus(y,1())) -> #plus(y,times(1(),0())) #15: #times(x,plus(y,1())) -> #times(1(),0()) #16: #gt(zero(),_1) ->? #gt^1_zero(_1) #17: #plus(s(x),s(y)) -> #plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))) #18: #plus(s(x),s(y)) -> #if(gt(x,y),x,y) #19: #plus(s(x),s(y)) -> #gt(x,y) #20: #plus(s(x),s(y)) -> #if(not(gt(x,y)),id(x),id(y)) #21: #plus(s(x),s(y)) -> #not(gt(x,y)) #22: #plus(s(x),s(y)) -> #gt(x,y) #23: #plus(s(x),s(y)) -> #id(x) #24: #plus(s(x),s(y)) -> #id(y) Number of SCCs: 3, DPs: 6 SCC { #13 } POLO(Sum)... succeeded. zero w: 1 1 w: 42737 s w: 0 gt w: x1 + x2 + 4 #gt^1_zero w: 0 #plus w: 0 false w: 7 #id w: 0 gt^1_zero w: 6 true w: 3 #not w: 0 #times w: x2 0 w: 1 if w: x1 + x3 times w: 42736 #gt w: 0 plus w: x2 gt^1_s w: x2 + 1 #if w: 0 id w: x1 + 8366 #gt^1_s w: 0 not w: x1 USABLE RULES: { 3..7 } Removed DPs: #13 Number of SCCs: 2, DPs: 5 SCC { #2 #11 } POLO(Sum)... succeeded. zero w: 1 1 w: 42737 s w: x1 + 2 gt w: x1 + x2 + 33605 #gt^1_zero w: 0 #plus w: 0 false w: 33608 #id w: 0
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