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TRS Standard pair #487069461
details
property
value
status
complete
benchmark
MYNAT_nosorts_noand_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n186.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.576554 seconds
cpu usage
0.092708
user time
0.054198
system time
0.03851
max virtual memory
113188.0
max residence set size
6808.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: a__U11(tt(),M,N) -> a__U12(tt(),M,N) 2: a__U12(tt(),M,N) -> s(a__plus(mark(N),mark(M))) 3: a__U21(tt(),M,N) -> a__U22(tt(),M,N) 4: a__U22(tt(),M,N) -> a__plus(a__x(mark(N),mark(M)),mark(N)) 5: a__plus(N,0()) -> mark(N) 6: a__plus(N,s(M)) -> a__U11(tt(),M,N) 7: a__x(N,0()) -> 0() 8: a__x(N,s(M)) -> a__U21(tt(),M,N) 9: mark(U11(X1,X2,X3)) -> a__U11(mark(X1),X2,X3) 10: mark(U12(X1,X2,X3)) -> a__U12(mark(X1),X2,X3) 11: mark(plus(X1,X2)) -> a__plus(mark(X1),mark(X2)) 12: mark(U21(X1,X2,X3)) -> a__U21(mark(X1),X2,X3) 13: mark(U22(X1,X2,X3)) -> a__U22(mark(X1),X2,X3) 14: mark(x(X1,X2)) -> a__x(mark(X1),mark(X2)) 15: mark(tt()) -> tt() 16: mark(s(X)) -> s(mark(X)) 17: mark(0()) -> 0() 18: a__U11(X1,X2,X3) -> U11(X1,X2,X3) 19: a__U12(X1,X2,X3) -> U12(X1,X2,X3) 20: a__plus(X1,X2) -> plus(X1,X2) 21: a__U21(X1,X2,X3) -> U21(X1,X2,X3) 22: a__U22(X1,X2,X3) -> U22(X1,X2,X3) 23: a__x(X1,X2) -> x(X1,X2) Number of strict rules: 23 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a__U12(tt(),M,N) -> #a__plus(mark(N),mark(M)) #2: #a__U12(tt(),M,N) -> #mark(N) #3: #a__U12(tt(),M,N) -> #mark(M) #4: #a__plus(N,s(M)) -> #a__U11(tt(),M,N) #5: #mark(U22(X1,X2,X3)) -> #a__U22(mark(X1),X2,X3) #6: #mark(U22(X1,X2,X3)) -> #mark(X1) #7: #mark(U11(X1,X2,X3)) -> #a__U11(mark(X1),X2,X3) #8: #mark(U11(X1,X2,X3)) -> #mark(X1) #9: #mark(plus(X1,X2)) -> #a__plus(mark(X1),mark(X2)) #10: #mark(plus(X1,X2)) -> #mark(X1) #11: #mark(plus(X1,X2)) -> #mark(X2) #12: #mark(U21(X1,X2,X3)) -> #a__U21(mark(X1),X2,X3) #13: #mark(U21(X1,X2,X3)) -> #mark(X1) #14: #mark(x(X1,X2)) -> #a__x(mark(X1),mark(X2)) #15: #mark(x(X1,X2)) -> #mark(X1) #16: #mark(x(X1,X2)) -> #mark(X2) #17: #mark(U12(X1,X2,X3)) -> #a__U12(mark(X1),X2,X3) #18: #mark(U12(X1,X2,X3)) -> #mark(X1) #19: #a__plus(N,0()) -> #mark(N) #20: #mark(s(X)) -> #mark(X) #21: #a__U21(tt(),M,N) -> #a__U22(tt(),M,N) #22: #a__U11(tt(),M,N) -> #a__U12(tt(),M,N) #23: #a__x(N,s(M)) -> #a__U21(tt(),M,N) #24: #a__U22(tt(),M,N) -> #a__plus(a__x(mark(N),mark(M)),mark(N)) #25: #a__U22(tt(),M,N) -> #a__x(mark(N),mark(M)) #26: #a__U22(tt(),M,N) -> #mark(N) #27: #a__U22(tt(),M,N) -> #mark(M) #28: #a__U22(tt(),M,N) -> #mark(N) Number of SCCs: 1, DPs: 28 SCC { #1..28 } POLO(Sum)... POLO(max)... succeeded. a__plus w: max(x1, x2 + 18815) U21 w: max(x1 + 13215, x2 + 1, x3 + 18815) U11 w: max(x1 + 18814, x2 + 18815, x3) s w: x1 #a__x w: max(x1 + 75553, x2 + 56739) a__U22 w: max(x1 + 18814, x2 + 1, x3 + 18815) #a__U11 w: max(x1 + 75552, x2 + 75553, x3 + 56738) a__x w: max(x1 + 18815, x2 + 1) U12 w: max(x1 + 18814, x2 + 18815, x3) x w: max(x1 + 18815, x2 + 1) #a__U12 w: max(x1 + 75551, x2 + 75553, x3 + 56738) #a__U21 w: max(x2 + 56739, x3 + 75553) #a__plus w: max(x1 + 56738, x2 + 75553) #mark w: x1 + 56738 0 w: 4684 a__U21 w: max(x1 + 13215, x2 + 1, x3 + 18815) mark w: x1 a__U11 w: max(x1 + 18814, x2 + 18815, x3) a__U12 w: max(x1 + 18814, x2 + 18815, x3) plus w: max(x1, x2 + 18815) #a__U22 w: max(x1 + 31964, x2 + 56739, x3 + 75553) tt w: 1 U22 w: max(x1 + 18814, x2 + 1, x3 + 18815) USABLE RULES: { 1..23 } Removed DPs: #3 #6 #8 #11 #13 #15 #16 #18 #26..28 Number of SCCs: 1, DPs: 17 SCC { #1 #2 #4 #5 #7 #9 #10 #12 #14 #17 #19..25 } POLO(Sum)... POLO(max)... QLPOS... succeeded. a__plus s: [1,2] p: 3 U21 s: [3,2,1] p: 4 U11 s: [3,2,1] p: 3 s s: [1] p: 0 #a__x s: [1,2] p: 4 a__U22 s: [3,2,1] p: 4 #a__U11 s: 3 a__x s: [1,2] p: 4 U12 s: [3,2,1] p: 3 x s: [1,2] p: 4 #a__U12 s: 3 #a__U21 s: [3,2,1] p: 4
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