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TRS Standard pair #516961363
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
n035.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.851743936539 seconds
cpu usage
0.869872498
max memory
2.2827008E7
stage attributes
key
value
output-size
5269
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- 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 poly ... failed. Freezing ... 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 } Sum... Max... succeeded. a__plus(x1,x2) w: (max{12 + x2, x1}) U21(x1,x2,x3) w: (max{12 + x3, 16 + x2, 10 + x1}) U11(x1,x2,x3) w: (max{x3, 12 + x2, 7 + x1}) s(x1) w: (x1) #a__x(x1,x2) w: (max{21696 + x2, 21692 + x1}) a__U22(x1,x2,x3) w: (max{12 + x3, 16 + x2, 13 + x1}) #a__U11(x1,x2,x3) w: (max{21680 + x3, 21686 + x2, 21681 + x1}) a__x(x1,x2) w: (max{16 + x2, 12 + x1}) U12(x1,x2,x3) w: (max{x3, 12 + x2, 8 + x1}) x(x1,x2) w: (max{16 + x2, 12 + x1}) #a__U12(x1,x2,x3) w: (max{21680 + x3, 21686 + x2, 21682 + x1}) #a__U21(x1,x2,x3) w: (max{21692 + x3, 21696 + x2, 21690 + x1}) #a__plus(x1,x2) w: (max{21686 + x2, 21680 + x1}) #mark(x1) w: (21680 + x1) 0() w: (294) a__U21(x1,x2,x3) w: (max{12 + x3, 16 + x2, 10 + x1}) mark(x1) w: (x1) a__U11(x1,x2,x3) w: (max{x3, 12 + x2, 7 + x1}) a__U12(x1,x2,x3) w: (max{x3, 12 + x2, 8 + x1}) plus(x1,x2) w: (max{12 + x2, x1}) #a__U22(x1,x2,x3) w: (max{21692 + x3, 21696 + x2, 21691 + x1}) tt() w: (3) U22(x1,x2,x3) w: (max{12 + x3, 16 + x2, 13 + x1}) 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 } Sum... Max... QLPOpS... succeeded. a__plus(x1,x2) 4[x1,x2] U21(x1,x2,x3) 5[x3,x2,x1] U11(x1,x2,x3) 4[x3,x2,x1] s(x1) 3[x1] #a__x(x1,x2) 5[x1,x2] a__U22(x1,x2,x3) 5[x3,x2,x1]
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