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TRS Stand 20472 pair #381710503
details
property
value
status
complete
benchmark
tower_sizeChange.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n085.star.cs.uiowa.edu
space
AProVE_06
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.151041984558 seconds
cpu usage
0.16745374
max memory
1.5228928E7
stage attributes
key
value
output-size
4729
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: tower(x) -> f(a(),x,s(0())) 2: f(a(),0(),y) -> y 3: f(a(),s(x),y) -> f(b(),y,s(x)) 4: f(b(),y,x) -> f(a(),half(x),exp(y)) 5: exp(0()) -> s(0()) 6: exp(s(x)) -> double(exp(x)) 7: double(0()) -> 0() 8: double(s(x)) -> s(s(double(x))) 9: half(0()) -> double(0()) 10: half(s(0())) -> half(0()) 11: half(s(s(x))) -> s(half(x)) Number of strict rules: 11 Direct POLO(bPol) ... removes: 1 2 a w: 1 tower w: x1 + 3 s w: x1 b w: 1 f w: x1 + x2 + x3 half w: x1 0 w: 1 double w: x1 exp w: x1 Number of strict rules: 9 Direct POLO(bPol) ... failed. Uncurrying half f double 3: f^1_a(s(x),y) -> f^1_b(y,s(x)) 4: f^1_b(y,x) -> f^1_a(half(x),exp(y)) 5: exp(0()) -> s(0()) 6: exp(s(x)) -> double(exp(x)) 7: double^1_0() -> 0() 8: double^1_s(x) -> s(s(double(x))) 9: half^1_0() -> double^1_0() 10: half^1_s(0()) -> half^1_0() 11: half^1_s(s(x)) -> s(half(x)) 12: double(0()) ->= double^1_0() 13: double(s(_1)) ->= double^1_s(_1) 14: f(a(),_2,_3) ->= f^1_a(_2,_3) 15: f(b(),_2,_3) ->= f^1_b(_2,_3) 16: half(0()) ->= half^1_0() 17: half(s(_1)) ->= half^1_s(_1) Number of strict rules: 9 Direct POLO(bPol) ... removes: 15 14 a w: 1 tower w: x1 double^1_s w: x1 s w: x1 double^1_0 w: 1 b w: 1 f^1_b w: x1 + x2 + 1 half^1_s w: x1 f w: 2 * x1 + x2 + x3 half w: x1 f^1_a w: x1 + x2 + 1 0 w: 1 double w: x1 half^1_0 w: 1 exp w: x1 Number of strict rules: 9 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #exp(s(x)) -> #double(exp(x)) #2: #exp(s(x)) -> #exp(x) #3: #double(s(_1)) ->? #double^1_s(_1) #4: #half^1_0() -> #double^1_0() #5: #half^1_s(s(x)) -> #half(x) #6: #double(0()) ->? #double^1_0() #7: #half^1_s(0()) -> #half^1_0() #8: #half(s(_1)) ->? #half^1_s(_1) #9: #half(0()) ->? #half^1_0() #10: #f^1_a(s(x),y) -> #f^1_b(y,s(x)) #11: #double^1_s(x) -> #double(x) #12: #f^1_b(y,x) -> #f^1_a(half(x),exp(y)) #13: #f^1_b(y,x) -> #half(x) #14: #f^1_b(y,x) -> #exp(y) Number of SCCs: 4, DPs: 7 SCC { #2 } POLO(Sum)... succeeded. a w: 0 tower w: 0 #f^1_a w: 0 double^1_s w: 0 s w: x1 + 1 #f^1_b w: 0 double^1_0 w: 0 b w: 0 f^1_b w: 0 #exp w: x1 #half w: 0 half^1_s w: 0 f w: 0 half w: 0 #double^1_0 w: 0
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