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TRS Relative pair #487520656
details
property
value
status
complete
benchmark
gcd_many.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n148.star.cs.uiowa.edu
space
Mixed_relative_TRS
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.202394962311 seconds
cpu usage
0.251476429
max memory
2.2114304E7
stage attributes
key
value
output-size
3895
starexec-result
NO
output
/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO Input TRS: 1: min(x,0()) -> 0() 2: min(0(),y) -> 0() 3: min(s(x),s(y)) -> s(min(x,y)) 4: max(x,0()) -> x 5: max(0(),y) -> y 6: max(s(x),s(y)) -> s(max(x,y)) 7: -(x,0()) -> x 8: -(s(x),s(y)) -> -(x,y) 9: gcd(nil()) -> 0() 10: gcd(cons(x,nil())) -> x 11: gcd(cons(0(),y)) -> gcd(y) 12: gcd(cons(x,cons(y,z))) -> gcd(cons(-(x,y),cons(y,z))) 13: gcd(cons(x,cons(y,z))) ->= gcd(cons(max(x,y),cons(min(x,y),z))) Number of strict rules: 12 Direct POLO(bPol) ... failed. Uncurrying gcd 1: min(x,0()) -> 0() 2: min(0(),y) -> 0() 3: min(s(x),s(y)) -> s(min(x,y)) 4: max(x,0()) -> x 5: max(0(),y) -> y 6: max(s(x),s(y)) -> s(max(x,y)) 7: -(x,0()) -> x 8: -(s(x),s(y)) -> -(x,y) 9: gcd^1_nil() -> 0() 10: gcd^1_cons(x,nil()) -> x 11: gcd^1_cons(0(),y) -> gcd(y) 12: gcd^1_cons(x,cons(y,z)) -> gcd^1_cons(-(x,y),cons(y,z)) 13: gcd^1_cons(x,cons(y,z)) ->= gcd^1_cons(max(x,y),cons(min(x,y),z)) 14: gcd(cons(_1,_2)) ->= gcd^1_cons(_1,_2) 15: gcd(nil()) ->= gcd^1_nil() Number of strict rules: 12 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #max(s(x),s(y)) -> #max(x,y) #2: #gcd^1_cons(x,cons(y,z)) ->? #gcd^1_cons(max(x,y),cons(min(x,y),z)) #3: #gcd^1_cons(x,cons(y,z)) ->? #max(x,y) #4: #gcd^1_cons(x,cons(y,z)) ->? #min(x,y) #5: #gcd^1_cons(0(),y) -> #gcd(y) #6: #gcd^1_cons(x,cons(y,z)) -> #gcd^1_cons(-(x,y),cons(y,z)) #7: #gcd^1_cons(x,cons(y,z)) -> #-(x,y) #8: #gcd(cons(_1,_2)) ->? #gcd^1_cons(_1,_2) #9: #min(s(x),s(y)) -> #min(x,y) #10: #-(s(x),s(y)) -> #-(x,y) #11: #gcd(nil()) ->? #gcd^1_nil() Number of SCCs: 4, DPs: 7 SCC { #1 } POLO(Sum)... succeeded. s w: x1 + 1 gcd w: 0 gcd^1_nil w: 0 #min w: 0 #gcd^1_nil w: 0 0 w: 0 max w: 0 nil w: 0 #max w: x2 - w: 0 gcd^1_cons w: 0 min w: 0 #gcd^1_cons w: 0 #- w: 0 cons w: 0 #gcd w: 0 USABLE RULES: { } Removed DPs: #1 Number of SCCs: 3, DPs: 6 SCC { #9 } POLO(Sum)... succeeded. s w: x1 + 1 gcd w: 0 gcd^1_nil w: 0 #min w: x2 #gcd^1_nil w: 0 0 w: 0 max w: 0 nil w: 0 #max w: 0 - w: 0 gcd^1_cons w: 0 min w: 0 #gcd^1_cons w: 0 #- w: 0 cons w: 0 #gcd w: 0 USABLE RULES: { } Removed DPs: #9 Number of SCCs: 2, DPs: 5 SCC { #10 } POLO(Sum)... succeeded. s w: x1 + 1 gcd w: 0
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