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TRS Stand 20472 pair #381710326
details
property
value
status
complete
benchmark
Ex5TermProof.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n190.star.cs.uiowa.edu
space
AotoYamada_05
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.228065013885 seconds
cpu usage
0.293382876
max memory
2.2695936E7
stage attributes
key
value
output-size
3713
starexec-result
MAYBE
output
/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- MAYBE Input TRS: 1: app(app(add(),0()),y) -> y 2: app(app(add(),app(s(),x)),y) -> app(s(),app(app(add(),x),y)) 3: app(app(mult(),0()),y) -> 0() 4: app(app(mult(),app(s(),x)),y) -> app(app(add(),app(app(mult(),x),y)),y) 5: app(app(app(rec(),f),x),0()) -> x 6: app(app(app(rec(),f),x),app(s(),y)) -> app(app(f,app(s(),y)),app(app(app(rec(),f),x),y)) 7: fact() -> app(app(rec(),mult()),app(s(),0())) Number of strict rules: 7 Direct POLO(bPol) ... failed. Uncurrying app 1: app^2_add(0(),y) -> y 2: app^2_add(app^1_s(x),y) -> app^1_s(app^2_add(x,y)) 3: app^2_mult(0(),y) -> 0() 4: app^2_mult(app^1_s(x),y) -> app^2_add(app^2_mult(x,y),y) 5: app^3_rec(f,x,0()) -> x 6: app^3_rec(f,x,app^1_s(y)) -> app(app(f,app^1_s(y)),app^3_rec(f,x,y)) 7: fact() -> app^2_rec(mult(),app^1_s(0())) 8: app(rec(),_1) ->= app^1_rec(_1) 9: app(app^1_rec(_1),_2) ->= app^2_rec(_1,_2) 10: app(app^2_rec(_1,_2),_3) ->= app^3_rec(_1,_2,_3) 11: app(s(),_1) ->= app^1_s(_1) 12: app(add(),_1) ->= app^1_add(_1) 13: app(app^1_add(_1),_2) ->= app^2_add(_1,_2) 14: app(mult(),_1) ->= app^1_mult(_1) 15: app(app^1_mult(_1),_2) ->= app^2_mult(_1,_2) Number of strict rules: 7 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #app^2_add(app^1_s(x),y) -> #app^2_add(x,y) #2: #app^3_rec(f,x,app^1_s(y)) -> #app(app(f,app^1_s(y)),app^3_rec(f,x,y)) #3: #app^3_rec(f,x,app^1_s(y)) -> #app(f,app^1_s(y)) #4: #app^3_rec(f,x,app^1_s(y)) -> #app^3_rec(f,x,y) #5: #app(app^1_add(_1),_2) ->? #app^2_add(_1,_2) #6: #app(app^2_rec(_1,_2),_3) ->? #app^3_rec(_1,_2,_3) #7: #app(app^1_mult(_1),_2) ->? #app^2_mult(_1,_2) #8: #app^2_mult(app^1_s(x),y) -> #app^2_add(app^2_mult(x,y),y) #9: #app^2_mult(app^1_s(x),y) -> #app^2_mult(x,y) Number of SCCs: 3, DPs: 6 SCC { #9 } POLO(Sum)... succeeded. #app^2_mult w: x1 s w: 0 #app^3_rec w: 0 app^3_rec w: 0 app^1_rec w: 0 app^2_rec w: 0 #fact w: 0 mult w: 0 app^2_add w: 0 0 w: 0 app^1_add w: 0 rec w: 0 fact w: 0 #app w: 0 app^1_mult w: 0 app^2_mult w: 0 add w: 0 #app^2_add w: 0 app^1_s w: x1 + 1 app w: 0 USABLE RULES: { } Removed DPs: #9 Number of SCCs: 2, DPs: 5 SCC { #1 } POLO(Sum)... succeeded. #app^2_mult w: 0 s w: 0 #app^3_rec w: 0 app^3_rec w: 0 app^1_rec w: 0 app^2_rec w: 0 #fact w: 0 mult w: 0 app^2_add w: 0 0 w: 0 app^1_add w: 0 rec w: 0 fact w: 0 #app w: 0 app^1_mult w: 0 app^2_mult w: 0 add w: 0 #app^2_add w: x1 app^1_s w: x1 + 1 app w: 0 USABLE RULES: { } Removed DPs: #1 Number of SCCs: 1, DPs: 4 SCC { #2..4 #6 } POLO(Sum)... POLO(max)... succeeded. #app^2_mult w: 0 s w: 0
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