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TRS_Equational 2019-03-21 05.09 pair #429997266
details
property
value
status
complete
benchmark
AC23.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
AProVE_AC_04
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.167332 seconds
cpu usage
0.104385
user time
0.073746
system time
0.030639
max virtual memory
113176.0
max residence set size
8868.0
stage attributes
key
value
starexec-result
MAYBE
output
0.00/0.16 MAYBE 0.00/0.16 Input TRS: 0.00/0.16 AC symbols: plus times 0.00/0.16 1: zero(S()) -> S() 0.00/0.16 2: plus(x,S()) -> x 0.00/0.16 3: plus(zero(x),zero(y)) -> zero(plus(x,y)) 0.00/0.16 4: plus(zero(x),un(y)) -> un(plus(x,y)) 0.00/0.16 5: plus(un(x),un(y)) -> zero(plus(x,plus(y,un(S())))) 0.00/0.16 6: times(x,S()) -> S() 0.00/0.16 7: times(x,times(S(),z)) -> times(S(),z) 0.00/0.16 8: times(x,zero(y)) -> zero(times(x,y)) 0.00/0.16 9: times(x,times(zero(y),z)) -> times(zero(times(x,y)),z) 0.00/0.16 10: times(x,un(y)) -> plus(x,zero(times(x,y))) 0.00/0.16 11: times(x,times(un(y),z)) -> times(plus(x,zero(times(x,y))),z) 0.00/0.16 Number of strict rules: 11 0.00/0.16 Direct POLO(bPol) ... failed. 0.00/0.16 Uncurrying ... failed. 0.00/0.16 Dependency Pairs: 0.00/0.16 #1: #times(x,times(y,z)) ->= #times(times(x,y),z) 0.00/0.16 #2: #times(x,times(y,z)) ->= #times(x,y) 0.00/0.16 #3: #times(x,times(zero(y),z)) -> #times(zero(times(x,y)),z) 0.00/0.16 #4: #times(x,times(zero(y),z)) -> #zero(times(x,y)) 0.00/0.16 #5: #times(x,times(zero(y),z)) -> #times(x,y) 0.00/0.16 #6: #times(x,times(un(y),z)) -> #times(plus(x,zero(times(x,y))),z) 0.00/0.16 #7: #times(x,times(un(y),z)) -> #plus(x,zero(times(x,y))) 0.00/0.16 #8: #times(x,times(un(y),z)) -> #zero(times(x,y)) 0.00/0.16 #9: #times(x,times(un(y),z)) -> #times(x,y) 0.00/0.16 #10: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z) 0.00/0.16 #11: #plus(x,plus(y,z)) ->= #plus(x,y) 0.00/0.16 #12: #times(x,un(y)) -> #plus(x,zero(times(x,y))) 0.00/0.16 #13: #times(x,un(y)) -> #zero(times(x,y)) 0.00/0.16 #14: #times(x,un(y)) -> #times(x,y) 0.00/0.16 #15: #plus(un(x),un(y)) -> #zero(plus(x,plus(y,un(S())))) 0.00/0.16 #16: #plus(un(x),un(y)) -> #plus(x,plus(y,un(S()))) 0.00/0.16 #17: #plus(un(x),un(y)) -> #plus(y,un(S())) 0.00/0.16 #18: #plus(zero(x),zero(y)) -> #zero(plus(x,y)) 0.00/0.16 #19: #plus(zero(x),zero(y)) -> #plus(x,y) 0.00/0.16 #20: #times(x,zero(y)) -> #zero(times(x,y)) 0.00/0.16 #21: #times(x,zero(y)) -> #times(x,y) 0.00/0.16 #22: #plus(zero(x),un(y)) -> #plus(x,y) 0.00/0.16 Number of SCCs: 2, DPs: 14 0.00/0.16 SCC { #10 #11 #16 #17 #19 #22 } 0.00/0.16 POLO(Sum)... succeeded. 0.00/0.16 zero w: x1 + 1 0.00/0.16 S w: 1 0.00/0.16 #plus w: x1 + x2 0.00/0.16 #times w: 0 0.00/0.16 times w: 0 0.00/0.16 plus w: x1 + x2 + 1 0.00/0.16 #zero w: 0 0.00/0.16 un w: x1 + 3 0.00/0.16 USABLE RULES: { 1..5 12 } 0.00/0.16 Removed DPs: #11 #16 #17 #19 #22 0.00/0.16 Number of SCCs: 2, DPs: 9 0.00/0.16 SCC { #10 } 0.00/0.16 only weak rules. 0.00/0.16 Number of SCCs: 1, DPs: 8 0.00/0.16 SCC { #1..3 #5 #6 #9 #14 #21 } 0.00/0.16 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. 0.00/0.16 zero w: max(x1, 0) 0.00/0.16 S w: 0 0.00/0.16 #plus w: 0 0.00/0.16 #times w: max(x1 + x2 - 1, 0) 0.00/0.16 times w: max(x1 + x2 + 5, 0) 0.00/0.16 plus w: max(x1, x2, 0) 0.00/0.16 #zero w: 0 0.00/0.16 un w: max(x1, 0) 0.00/0.16 USABLE RULES: { 1..13 } 0.00/0.16 Removed DPs: #2 #5 #9 0.00/0.16 Number of SCCs: 1, DPs: 5 0.00/0.16 SCC { #1 #3 #6 #14 #21 } 0.00/0.16 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. 0.00/0.16 Finding a loop... failed. 0.00/0.16 EOF
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