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TRS Standard pair #516962923
details
property
value
status
complete
benchmark
Ex1_2_AEL03_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n171.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.912097930908 seconds
cpu usage
0.999278285
max memory
2.7942912E7
stage attributes
key
value
output-size
8449
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__from(X) -> cons(mark(X),from(s(X))) 2: a__2ndspos(0(),Z) -> rnil() 3: a__2ndspos(s(N),cons(X,cons(Y,Z))) -> rcons(posrecip(mark(Y)),a__2ndsneg(mark(N),mark(Z))) 4: a__2ndsneg(0(),Z) -> rnil() 5: a__2ndsneg(s(N),cons(X,cons(Y,Z))) -> rcons(negrecip(mark(Y)),a__2ndspos(mark(N),mark(Z))) 6: a__pi(X) -> a__2ndspos(mark(X),a__from(0())) 7: a__plus(0(),Y) -> mark(Y) 8: a__plus(s(X),Y) -> s(a__plus(mark(X),mark(Y))) 9: a__times(0(),Y) -> 0() 10: a__times(s(X),Y) -> a__plus(mark(Y),a__times(mark(X),mark(Y))) 11: a__square(X) -> a__times(mark(X),mark(X)) 12: mark(from(X)) -> a__from(mark(X)) 13: mark(2ndspos(X1,X2)) -> a__2ndspos(mark(X1),mark(X2)) 14: mark(2ndsneg(X1,X2)) -> a__2ndsneg(mark(X1),mark(X2)) 15: mark(pi(X)) -> a__pi(mark(X)) 16: mark(plus(X1,X2)) -> a__plus(mark(X1),mark(X2)) 17: mark(times(X1,X2)) -> a__times(mark(X1),mark(X2)) 18: mark(square(X)) -> a__square(mark(X)) 19: mark(0()) -> 0() 20: mark(s(X)) -> s(mark(X)) 21: mark(posrecip(X)) -> posrecip(mark(X)) 22: mark(negrecip(X)) -> negrecip(mark(X)) 23: mark(nil()) -> nil() 24: mark(cons(X1,X2)) -> cons(mark(X1),X2) 25: mark(rnil()) -> rnil() 26: mark(rcons(X1,X2)) -> rcons(mark(X1),mark(X2)) 27: a__from(X) -> from(X) 28: a__2ndspos(X1,X2) -> 2ndspos(X1,X2) 29: a__2ndsneg(X1,X2) -> 2ndsneg(X1,X2) 30: a__pi(X) -> pi(X) 31: a__plus(X1,X2) -> plus(X1,X2) 32: a__times(X1,X2) -> times(X1,X2) 33: a__square(X) -> square(X) Number of strict rules: 33 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #a__pi(X) -> #a__2ndspos(mark(X),a__from(0())) #2: #a__pi(X) -> #mark(X) #3: #a__pi(X) -> #a__from(0()) #4: #mark(2ndspos(X1,X2)) -> #a__2ndspos(mark(X1),mark(X2)) #5: #mark(2ndspos(X1,X2)) -> #mark(X1) #6: #mark(2ndspos(X1,X2)) -> #mark(X2) #7: #a__square(X) -> #a__times(mark(X),mark(X)) #8: #a__square(X) -> #mark(X) #9: #a__square(X) -> #mark(X) #10: #mark(cons(X1,X2)) -> #mark(X1) #11: #mark(from(X)) -> #a__from(mark(X)) #12: #mark(from(X)) -> #mark(X) #13: #mark(2ndsneg(X1,X2)) -> #a__2ndsneg(mark(X1),mark(X2)) #14: #mark(2ndsneg(X1,X2)) -> #mark(X1) #15: #mark(2ndsneg(X1,X2)) -> #mark(X2) #16: #mark(s(X)) -> #mark(X) #17: #a__plus(0(),Y) -> #mark(Y) #18: #a__times(s(X),Y) -> #a__plus(mark(Y),a__times(mark(X),mark(Y))) #19: #a__times(s(X),Y) -> #mark(Y) #20: #a__times(s(X),Y) -> #a__times(mark(X),mark(Y)) #21: #a__times(s(X),Y) -> #mark(X) #22: #a__times(s(X),Y) -> #mark(Y) #23: #a__2ndsneg(s(N),cons(X,cons(Y,Z))) -> #mark(Y) #24: #a__2ndsneg(s(N),cons(X,cons(Y,Z))) -> #a__2ndspos(mark(N),mark(Z)) #25: #a__2ndsneg(s(N),cons(X,cons(Y,Z))) -> #mark(N) #26: #a__2ndsneg(s(N),cons(X,cons(Y,Z))) -> #mark(Z) #27: #mark(negrecip(X)) -> #mark(X) #28: #mark(times(X1,X2)) -> #a__times(mark(X1),mark(X2)) #29: #mark(times(X1,X2)) -> #mark(X1) #30: #mark(times(X1,X2)) -> #mark(X2) #31: #mark(rcons(X1,X2)) -> #mark(X1) #32: #mark(rcons(X1,X2)) -> #mark(X2) #33: #mark(posrecip(X)) -> #mark(X) #34: #mark(plus(X1,X2)) -> #a__plus(mark(X1),mark(X2)) #35: #mark(plus(X1,X2)) -> #mark(X1) #36: #mark(plus(X1,X2)) -> #mark(X2) #37: #a__2ndspos(s(N),cons(X,cons(Y,Z))) -> #mark(Y) #38: #a__2ndspos(s(N),cons(X,cons(Y,Z))) -> #a__2ndsneg(mark(N),mark(Z)) #39: #a__2ndspos(s(N),cons(X,cons(Y,Z))) -> #mark(N) #40: #a__2ndspos(s(N),cons(X,cons(Y,Z))) -> #mark(Z) #41: #a__from(X) -> #mark(X) #42: #a__plus(s(X),Y) -> #a__plus(mark(X),mark(Y)) #43: #a__plus(s(X),Y) -> #mark(X) #44: #a__plus(s(X),Y) -> #mark(Y) #45: #mark(pi(X)) -> #a__pi(mark(X)) #46: #mark(pi(X)) -> #mark(X) #47: #mark(square(X)) -> #a__square(mark(X)) #48: #mark(square(X)) -> #mark(X) Number of SCCs: 1, DPs: 47 SCC { #2..48 } Sum... Max... succeeded. a__plus(x1,x2) w: (max{x2, 36719 + x1}) a__2ndsneg(x1,x2) w: (max{1 + x2, 11652 + x1}) negrecip(x1) w: (4476 + x1) s(x1) w: (x1)
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