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TRS Standard pair #487069346
details
property
value
status
complete
benchmark
wst99.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
Rubio_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.0909249 seconds
cpu usage
0.036564
user time
0.019399
system time
0.017165
max virtual memory
113188.0
max residence set size
7844.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: din(der(plus(X,Y))) -> u21(din(der(X)),X,Y) 2: u21(dout(DX),X,Y) -> u22(din(der(Y)),X,Y,DX) 3: u22(dout(DY),X,Y,DX) -> dout(plus(DX,DY)) 4: din(der(times(X,Y))) -> u31(din(der(X)),X,Y) 5: u31(dout(DX),X,Y) -> u32(din(der(Y)),X,Y,DX) 6: u32(dout(DY),X,Y,DX) -> dout(plus(times(X,DY),times(Y,DX))) 7: din(der(der(X))) -> u41(din(der(X)),X) 8: u41(dout(DX),X) -> u42(din(der(DX)),X,DX) 9: u42(dout(DDX),X,DX) -> dout(DDX) Number of strict rules: 9 Direct POLO(bPol) ... failed. Uncurrying din 1: din^1_der(plus(X,Y)) -> u21(din^1_der(X),X,Y) 2: u21(dout(DX),X,Y) -> u22(din^1_der(Y),X,Y,DX) 3: u22(dout(DY),X,Y,DX) -> dout(plus(DX,DY)) 4: din^1_der(times(X,Y)) -> u31(din^1_der(X),X,Y) 5: u31(dout(DX),X,Y) -> u32(din^1_der(Y),X,Y,DX) 6: u32(dout(DY),X,Y,DX) -> dout(plus(times(X,DY),times(Y,DX))) 7: din^1_der(der(X)) -> u41(din^1_der(X),X) 8: u41(dout(DX),X) -> u42(din^1_der(DX),X,DX) 9: u42(dout(DDX),X,DX) -> dout(DDX) 10: din(der(_1)) ->= din^1_der(_1) Number of strict rules: 9 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #u21(dout(DX),X,Y) -> #u22(din^1_der(Y),X,Y,DX) #2: #u21(dout(DX),X,Y) -> #din^1_der(Y) #3: #din^1_der(der(X)) -> #u41(din^1_der(X),X) #4: #din^1_der(der(X)) -> #din^1_der(X) #5: #din(der(_1)) ->? #din^1_der(_1) #6: #u31(dout(DX),X,Y) -> #u32(din^1_der(Y),X,Y,DX) #7: #u31(dout(DX),X,Y) -> #din^1_der(Y) #8: #din^1_der(plus(X,Y)) -> #u21(din^1_der(X),X,Y) #9: #din^1_der(plus(X,Y)) -> #din^1_der(X) #10: #u41(dout(DX),X) -> #u42(din^1_der(DX),X,DX) #11: #u41(dout(DX),X) -> #din^1_der(DX) #12: #din^1_der(times(X,Y)) -> #u31(din^1_der(X),X,Y) #13: #din^1_der(times(X,Y)) -> #din^1_der(X) Number of SCCs: 1, DPs: 9 SCC { #2..4 #7..9 #11..13 } POLO(Sum)... succeeded. din w: 0 #u22 w: 0 der w: 1 #u21 w: x1 + 2446 #din w: 0 u41 w: x1 times w: 0 u32 w: x1 + 2448 din^1_der w: 1 u21 w: x1 #u41 w: x1 plus w: x2 + 2448 #u42 w: 0 #u31 w: x1 + 2446 u22 w: x1 + 2448 u42 w: x1 + x3 #u32 w: 0 dout w: x1 + 2449 #din^1_der w: 2448 u31 w: x1 USABLE RULES: { 1..9 } Removed DPs: #2 #3 #7 #8 #11 #12 Number of SCCs: 1, DPs: 3 SCC { #4 #9 #13 } POLO(Sum)... succeeded. din w: 0 #u22 w: 0 der w: x1 + 1 #u21 w: x1 + 2446 #din w: 0 u41 w: x1 times w: x1 + 1 u32 w: x1 din^1_der w: 1 u21 w: x1 #u41 w: x1 plus w: x1 + x2 + 1 #u42 w: 0 #u31 w: x1 + 2446 u22 w: x1 u42 w: x1 #u32 w: 0 dout w: 1 #din^1_der w: x1 + 2448 u31 w: x1 USABLE RULES: { 1..9 } Removed DPs: #4 #9 #13 Number of SCCs: 0, DPs: 0
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