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TRS Standard pair #516963858
details
property
value
status
complete
benchmark
rta3.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n066.star.cs.uiowa.edu
space
AProVE_04
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.120496034622 seconds
cpu usage
0.078491745
max memory
1.0907648E7
stage attributes
key
value
output-size
2399
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: ack(0(),y) -> s(y) 2: ack(s(x),0()) -> ack(x,s(0())) 3: ack(s(x),s(y)) -> ack(x,ack(s(x),y)) 4: f(s(x),y) -> f(x,s(x)) 5: f(x,s(y)) -> f(y,x) 6: f(x,y) -> ack(x,y) 7: ack(s(x),y) -> f(x,x) Number of strict rules: 7 Direct poly ... failed. Freezing ack 1: ack❆1_0(y) -> s(y) 2: ack❆1_s(x,0()) -> ack(x,s(0())) 3: ack❆1_s(x,s(y)) -> ack(x,ack❆1_s(x,y)) 4: f(s(x),y) -> f(x,s(x)) 5: f(x,s(y)) -> f(y,x) 6: f(x,y) -> ack(x,y) 7: ack❆1_s(x,y) -> f(x,x) 8: ack(0(),_1) ->= ack❆1_0(_1) 9: ack(s(_1),_2) ->= ack❆1_s(_1,_2) Number of strict rules: 7 Direct poly ... failed. Dependency Pairs: #1: #ack❆1_s(x,0()) -> #ack(x,s(0())) #2: #f(x,y) -> #ack(x,y) #3: #ack(s(_1),_2) ->? #ack❆1_s(_1,_2) #4: #ack❆1_s(x,y) -> #f(x,x) #5: #f(x,s(y)) -> #f(y,x) #6: #ack❆1_s(x,s(y)) -> #ack(x,ack❆1_s(x,y)) #7: #ack❆1_s(x,s(y)) -> #ack❆1_s(x,y) #8: #ack(0(),_1) ->? #ack❆1_0(_1) #9: #f(s(x),y) -> #f(x,s(x)) Number of SCCs: 1, DPs: 8 SCC { #1..7 #9 } Sum... Max... succeeded. s(x1) w: (1 + x1) ack(x1,x2) w: (max{4 + x2, 3 + x1}) #ack❆1_0(x1) w: (0) f(x1,x2) w: (max{0, 3 + x1}) 0() w: (1) #f(x1,x2) w: (max{2439 + x2, 2439 + x1}) ack❆1_0(x1) w: (0) #ack(x1,x2) w: (max{0, 2438 + x1}) ack❆1_s(x1,x2) w: (max{1 + x2, 2 + x1}) #ack❆1_s(x1,x2) w: (max{0, 2439 + x1}) USABLE RULES: { } Removed DPs: #1 #2 #6 Number of SCCs: 2, DPs: 3 SCC { #7 } Sum... succeeded. s(x1) w: (1 + x1) ack(x1,x2) w: (4 + x2 + x1) #ack❆1_0(x1) w: (0) f(x1,x2) w: (2) 0() w: (0) #f(x1,x2) w: (0) ack❆1_0(x1) w: (x1) #ack(x1,x2) w: (0) ack❆1_s(x1,x2) w: (1) #ack❆1_s(x1,x2) w: (x2) USABLE RULES: { } Removed DPs: #7 Number of SCCs: 1, DPs: 2 SCC { #5 #9 } Sum... Max... succeeded. s(x1) w: (5855 + x1) ack(x1,x2) w: (max{7000 + x2, 6999 + x1}) #ack❆1_0(x1) w: (0) f(x1,x2) w: (max{0, 6999 + x1}) 0() w: (1) #f(x1,x2) w: (max{28382 + x2, 34236 + x1}) ack❆1_0(x1) w: (0) #ack(x1,x2) w: (0) ack❆1_s(x1,x2) w: (max{1143 + x2, 2 + x1}) #ack❆1_s(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #5 #9 Number of SCCs: 0, DPs: 0
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