Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Standard pair #487068956
details
property
value
status
complete
benchmark
tower_sizeChange.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n189.star.cs.uiowa.edu
space
AProVE_06
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.187839 seconds
cpu usage
0.04631
user time
0.024009
system time
0.022301
max virtual memory
113188.0
max residence set size
9312.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: tower(x) -> f(a(),x,s(0())) 2: f(a(),0(),y) -> y 3: f(a(),s(x),y) -> f(b(),y,s(x)) 4: f(b(),y,x) -> f(a(),half(x),exp(y)) 5: exp(0()) -> s(0()) 6: exp(s(x)) -> double(exp(x)) 7: double(0()) -> 0() 8: double(s(x)) -> s(s(double(x))) 9: half(0()) -> double(0()) 10: half(s(0())) -> half(0()) 11: half(s(s(x))) -> s(half(x)) Number of strict rules: 11 Direct POLO(bPol) ... removes: 1 2 a w: 1 tower w: 2 * x1 + 3002 s w: x1 b w: 1 f w: 2 * x1 + 2 * x2 + 2 * x3 + 619 half w: x1 0 w: 1190 double w: x1 exp w: x1 Number of strict rules: 9 Direct POLO(bPol) ... failed. Uncurrying half f double 3: f^1_a(s(x),y) -> f^1_b(y,s(x)) 4: f^1_b(y,x) -> f^1_a(half(x),exp(y)) 5: exp(0()) -> s(0()) 6: exp(s(x)) -> double(exp(x)) 7: double^1_0() -> 0() 8: double^1_s(x) -> s(s(double(x))) 9: half^1_0() -> double^1_0() 10: half^1_s(0()) -> half^1_0() 11: half^1_s(s(x)) -> s(half(x)) 12: double(0()) ->= double^1_0() 13: double(s(_1)) ->= double^1_s(_1) 14: f(a(),_2,_3) ->= f^1_a(_2,_3) 15: f(b(),_2,_3) ->= f^1_b(_2,_3) 16: half(0()) ->= half^1_0() 17: half(s(_1)) ->= half^1_s(_1) Number of strict rules: 9 Direct POLO(bPol) ... removes: 15 14 a w: 1 tower w: x1 double^1_s w: x1 s w: x1 double^1_0 w: 28224 b w: 1 f^1_b w: x1 + x2 + 6879 half^1_s w: x1 f w: 2 * x1 + 2 * x2 + 2 * x3 + 6879 half w: x1 f^1_a w: x1 + x2 + 6879 0 w: 28224 double w: x1 half^1_0 w: 28224 exp w: x1 Number of strict rules: 9 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #exp(s(x)) -> #double(exp(x)) #2: #exp(s(x)) -> #exp(x) #3: #double(s(_1)) ->? #double^1_s(_1) #4: #half^1_0() -> #double^1_0() #5: #half^1_s(s(x)) -> #half(x) #6: #double(0()) ->? #double^1_0() #7: #half^1_s(0()) -> #half^1_0() #8: #half(s(_1)) ->? #half^1_s(_1) #9: #half(0()) ->? #half^1_0() #10: #f^1_a(s(x),y) -> #f^1_b(y,s(x)) #11: #double^1_s(x) -> #double(x) #12: #f^1_b(y,x) -> #f^1_a(half(x),exp(y)) #13: #f^1_b(y,x) -> #half(x) #14: #f^1_b(y,x) -> #exp(y) Number of SCCs: 4, DPs: 7 SCC { #2 } POLO(Sum)... succeeded. a w: 0 tower w: 0 #f^1_a w: 0 double^1_s w: 0 s w: x1 + 1 #f^1_b w: 0 double^1_0 w: 0 b w: 0 f^1_b w: 0 #exp w: x1 #half w: 0 half^1_s w: 0 f w: 0 half w: 0 #double^1_0 w: 0 f^1_a w: 0 0 w: 0 #double w: 0 double w: 0 #half^1_s w: 0 half^1_0 w: 0
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Standard