Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Standard pair #487066656
details
property
value
status
complete
benchmark
14.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
Various_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.370038 seconds
cpu usage
0.057108
user time
0.036541
system time
0.020567
max virtual memory
113188.0
max residence set size
9240.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: O(0()) -> 0() 2: +(0(),x) -> x 3: +(x,0()) -> x 4: +(O(x),O(y)) -> O(+(x,y)) 5: +(O(x),I(y)) -> I(+(x,y)) 6: +(I(x),O(y)) -> I(+(x,y)) 7: +(I(x),I(y)) -> O(+(+(x,y),I(0()))) 8: +(x,+(y,z)) -> +(+(x,y),z) 9: -(x,0()) -> x 10: -(0(),x) -> 0() 11: -(O(x),O(y)) -> O(-(x,y)) 12: -(O(x),I(y)) -> I(-(-(x,y),I(1()))) 13: -(I(x),O(y)) -> I(-(x,y)) 14: -(I(x),I(y)) -> O(-(x,y)) 15: not(true()) -> false() 16: not(false()) -> true() 17: and(x,true()) -> x 18: and(x,false()) -> false() 19: if(true(),x,y) -> x 20: if(false(),x,y) -> y 21: ge(O(x),O(y)) -> ge(x,y) 22: ge(O(x),I(y)) -> not(ge(y,x)) 23: ge(I(x),O(y)) -> ge(x,y) 24: ge(I(x),I(y)) -> ge(x,y) 25: ge(x,0()) -> true() 26: ge(0(),O(x)) -> ge(0(),x) 27: ge(0(),I(x)) -> false() 28: Log'(0()) -> 0() 29: Log'(I(x)) -> +(Log'(x),I(0())) 30: Log'(O(x)) -> if(ge(x,I(0())),+(Log'(x),I(0())),0()) 31: Log(x) -> -(Log'(x),I(0())) 32: Val(L(x)) -> x 33: Val(N(x,l(),r())) -> x 34: Min(L(x)) -> x 35: Min(N(x,l(),r())) -> Min(l()) 36: Max(L(x)) -> x 37: Max(N(x,l(),r())) -> Max(r()) 38: BS(L(x)) -> true() 39: BS(N(x,l(),r())) -> and(and(ge(x,Max(l())),ge(Min(r()),x)),and(BS(l()),BS(r()))) 40: Size(L(x)) -> I(0()) 41: Size(N(x,l(),r())) -> +(+(Size(l()),Size(r())),I(1())) 42: WB(L(x)) -> true() 43: WB(N(x,l(),r())) -> and(if(ge(Size(l()),Size(r())),ge(I(0()),-(Size(l()),Size(r()))),ge(I(0()),-(Size(r()),Size(l())))),and(WB(l()),WB(r()))) Number of strict rules: 43 Direct POLO(bPol) ... removes: 18 36 32 17 34 28 33 39 31 40 38 37 41 42 35 43 1 w: 0 Log w: x1 + 32614 and w: x1 + x2 + 1 r w: 1 Size w: 2 * x1 + 2957 false w: 0 l w: 1 Min w: 2 * x1 O w: 2 * x1 true w: 0 Val w: 2 * x1 + 9122 I w: 2 * x1 0 w: 0 if w: x1 + x2 + x3 ge w: x1 + x2 BS w: 2 * x1 + 7 - w: x1 + x2 WB w: 2 * x1 + 12389 L w: x1 + 12148 N w: 2 * x1 + 2 * x2 + 2 * x3 + 18529 Log' w: x1 + 32613 + w: x1 + x2 not w: x1 Max w: 2 * x1 + 1 Number of strict rules: 27 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #Log'(I(x)) -> #+(Log'(x),I(0())) #2: #Log'(I(x)) -> #Log'(x) #3: #+(I(x),O(y)) -> #+(x,y) #4: #-(I(x),O(y)) -> #-(x,y) #5: #-(O(x),O(y)) -> #O(-(x,y)) #6: #-(O(x),O(y)) -> #-(x,y) #7: #ge(I(x),I(y)) -> #ge(x,y) #8: #ge(I(x),O(y)) -> #ge(x,y) #9: #-(O(x),I(y)) -> #-(-(x,y),I(1())) #10: #-(O(x),I(y)) -> #-(x,y) #11: #-(I(x),I(y)) -> #O(-(x,y)) #12: #-(I(x),I(y)) -> #-(x,y) #13: #Log'(O(x)) -> #if(ge(x,I(0())),+(Log'(x),I(0())),0()) #14: #Log'(O(x)) -> #ge(x,I(0())) #15: #Log'(O(x)) -> #+(Log'(x),I(0())) #16: #Log'(O(x)) -> #Log'(x) #17: #+(I(x),I(y)) -> #O(+(+(x,y),I(0()))) #18: #+(I(x),I(y)) -> #+(+(x,y),I(0())) #19: #+(I(x),I(y)) -> #+(x,y) #20: #+(O(x),I(y)) -> #+(x,y) #21: #ge(O(x),I(y)) -> #not(ge(y,x)) #22: #ge(O(x),I(y)) -> #ge(y,x) #23: #ge(0(),O(x)) -> #ge(0(),x) #24: #ge(O(x),O(y)) -> #ge(x,y) #25: #+(x,+(y,z)) -> #+(+(x,y),z)
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Standard