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TRS Standard pair #487073991
details
property
value
status
complete
benchmark
log2.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n180.star.cs.uiowa.edu
space
CiME_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.223593 seconds
cpu usage
0.047075
user time
0.021703
system time
0.025372
max virtual memory
113188.0
max residence set size
9244.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: 0(\#()) -> \#() 2: +(\#(),x) -> x 3: +(x,\#()) -> x 4: +(0(x),0(y)) -> 0(+(x,y)) 5: +(0(x),1(y)) -> 1(+(x,y)) 6: +(1(x),0(y)) -> 1(+(x,y)) 7: +(1(x),1(y)) -> 0(+(+(x,y),1(\#()))) 8: +(+(x,y),z) -> +(x,+(y,z)) 9: -(\#(),x) -> \#() 10: -(x,\#()) -> x 11: -(0(x),0(y)) -> 0(-(x,y)) 12: -(0(x),1(y)) -> 1(-(-(x,y),1(\#()))) 13: -(1(x),0(y)) -> 1(-(x,y)) 14: -(1(x),1(y)) -> 0(-(x,y)) 15: not(true()) -> false() 16: not(false()) -> true() 17: if(true(),x,y) -> x 18: if(false(),x,y) -> y 19: ge(0(x),0(y)) -> ge(x,y) 20: ge(0(x),1(y)) -> not(ge(y,x)) 21: ge(1(x),0(y)) -> ge(x,y) 22: ge(1(x),1(y)) -> ge(x,y) 23: ge(x,\#()) -> true() 24: ge(\#(),0(x)) -> ge(\#(),x) 25: ge(\#(),1(x)) -> false() 26: log(x) -> -(log'(x),1(\#())) 27: log'(\#()) -> \#() 28: log'(1(x)) -> +(log'(x),1(\#())) 29: log'(0(x)) -> if(ge(x,1(\#())),+(log'(x),1(\#())),\#()) Number of strict rules: 29 Direct POLO(bPol) ... removes: 26 27 1 w: 2 * x1 false w: 0 \# w: 0 true w: 0 log w: 2 * x1 + 7 0 w: 2 * x1 if w: x1 + x2 + x3 ge w: x1 + x2 - w: x1 + x2 + w: x1 + x2 log' w: x1 + 1 not w: x1 Number of strict rules: 27 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #log'(0(x)) -> #if(ge(x,1(\#())),+(log'(x),1(\#())),\#()) #2: #log'(0(x)) -> #ge(x,1(\#())) #3: #log'(0(x)) -> #+(log'(x),1(\#())) #4: #log'(0(x)) -> #log'(x) #5: #+(1(x),0(y)) -> #+(x,y) #6: #-(1(x),0(y)) -> #-(x,y) #7: #-(0(x),0(y)) -> #0(-(x,y)) #8: #-(0(x),0(y)) -> #-(x,y) #9: #ge(\#(),0(x)) -> #ge(\#(),x) #10: #-(0(x),1(y)) -> #-(-(x,y),1(\#())) #11: #-(0(x),1(y)) -> #-(x,y) #12: #-(1(x),1(y)) -> #0(-(x,y)) #13: #-(1(x),1(y)) -> #-(x,y) #14: #ge(0(x),1(y)) -> #not(ge(y,x)) #15: #ge(0(x),1(y)) -> #ge(y,x) #16: #+(1(x),1(y)) -> #0(+(+(x,y),1(\#()))) #17: #+(1(x),1(y)) -> #+(+(x,y),1(\#())) #18: #+(1(x),1(y)) -> #+(x,y) #19: #+(0(x),1(y)) -> #+(x,y) #20: #log'(1(x)) -> #+(log'(x),1(\#())) #21: #log'(1(x)) -> #log'(x) #22: #ge(1(x),1(y)) -> #ge(x,y) #23: #ge(0(x),0(y)) -> #ge(x,y) #24: #ge(1(x),0(y)) -> #ge(x,y) #25: #+(+(x,y),z) -> #+(x,+(y,z)) #26: #+(+(x,y),z) -> #+(y,z) #27: #+(0(x),0(y)) -> #0(+(x,y)) #28: #+(0(x),0(y)) -> #+(x,y) Number of SCCs: 5, DPs: 19 SCC { #9 } POLO(Sum)... succeeded. #0 w: 0 1 w: 0 false w: 0 #ge w: x2 \# w: 0 true w: 0 #not w: 0 log w: 0 0 w: x1 + 1 if w: 0 ge w: 0 #log' w: 0 - w: 0 #- w: 0 #if w: 0 + w: 0 log' w: 0 #+ w: 0 not w: 0 USABLE RULES: { }
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