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TRS Standard pair #516960983
details
property
value
status
complete
benchmark
thiemann09.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n078.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.578098058701 seconds
cpu usage
0.638555883
max memory
3.2165888E7
stage attributes
key
value
output-size
6214
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: minus(minus(x,y),z) -> minus(x,plus(y,z)) 2: minus(0(),y) -> 0() 3: minus(x,0()) -> x 4: minus(s(x),s(y)) -> minus(x,y) 5: plus(0(),y) -> y 6: plus(s(x),y) -> plus(x,s(y)) 7: plus(s(x),y) -> s(plus(y,x)) 8: zero(s(x)) -> false() 9: zero(0()) -> true() 10: p(s(x)) -> x 11: p(0()) -> 0() 12: div(x,y) -> quot(x,y,0()) 13: quot(s(x),s(y),z) -> quot(minus(p(ack(0(),x)),y),s(y),s(z)) 14: quot(0(),s(y),z) -> z 15: ack(0(),x) -> s(x) 16: ack(0(),x) -> plus(x,s(0())) 17: ack(s(x),0()) -> ack(x,s(0())) 18: ack(s(x),s(y)) -> ack(x,ack(s(x),y)) Number of strict rules: 18 Direct poly ... failed. Freezing ack 1: minus(minus(x,y),z) -> minus(x,plus(y,z)) 2: minus(0(),y) -> 0() 3: minus(x,0()) -> x 4: minus(s(x),s(y)) -> minus(x,y) 5: plus(0(),y) -> y 6: plus(s(x),y) -> plus(x,s(y)) 7: plus(s(x),y) -> s(plus(y,x)) 8: zero(s(x)) -> false() 9: zero(0()) -> true() 10: p(s(x)) -> x 11: p(0()) -> 0() 12: div(x,y) -> quot(x,y,0()) 13: quot(s(x),s(y),z) -> quot(minus(p(ack❆1_0(x)),y),s(y),s(z)) 14: quot(0(),s(y),z) -> z 15: ack❆1_0(x) -> s(x) 16: ack❆1_0(x) -> plus(x,s(0())) 17: ack❆1_s(x,0()) -> ack(x,s(0())) 18: ack❆1_s(x,s(y)) -> ack(x,ack❆1_s(x,y)) 19: ack(0(),_1) ->= ack❆1_0(_1) 20: ack(s(_1),_2) ->= ack❆1_s(_1,_2) Number of strict rules: 18 Direct poly ... failed. Dependency Pairs: #1: #plus(s(x),y) -> #plus(x,s(y)) #2: #quot(s(x),s(y),z) -> #quot(minus(p(ack❆1_0(x)),y),s(y),s(z)) #3: #quot(s(x),s(y),z) -> #minus(p(ack❆1_0(x)),y) #4: #quot(s(x),s(y),z) -> #p(ack❆1_0(x)) #5: #quot(s(x),s(y),z) -> #ack❆1_0(x) #6: #div(x,y) -> #quot(x,y,0()) #7: #ack(s(_1),_2) ->? #ack❆1_s(_1,_2) #8: #plus(s(x),y) -> #plus(y,x) #9: #ack❆1_s(x,0()) -> #ack(x,s(0())) #10: #ack(0(),_1) ->? #ack❆1_0(_1) #11: #ack❆1_0(x) -> #plus(x,s(0())) #12: #minus(minus(x,y),z) -> #minus(x,plus(y,z)) #13: #minus(minus(x,y),z) -> #plus(y,z) #14: #minus(s(x),s(y)) -> #minus(x,y) #15: #ack❆1_s(x,s(y)) -> #ack(x,ack❆1_s(x,y)) #16: #ack❆1_s(x,s(y)) -> #ack❆1_s(x,y) Number of SCCs: 4, DPs: 9 SCC { #1 #8 } Sum... succeeded. zero(x1) w: (0) #div(x1,x2) w: (0) s(x1) w: (1 + x1) minus(x1,x2) w: (0) ack(x1,x2) w: (0) #plus(x1,x2) w: (x2 + x1) false() w: (0) div(x1,x2) w: (0) #ack❆1_0(x1) w: (0) #p(x1) w: (0) true() w: (0) p(x1) w: (0) 0() w: (0) quot(x1,x2,x3) w: (0) #minus(x1,x2) w: (0) ack❆1_0(x1) w: (0) plus(x1,x2) w: (0) #ack(x1,x2) w: (0) ack❆1_s(x1,x2) w: (0) #ack❆1_s(x1,x2) w: (0) #quot(x1,x2,x3) w: (0) #zero(x1) w: (0) USABLE RULES: { } Removed DPs: #8 Number of SCCs: 4, DPs: 8 SCC { #1 } Sum... succeeded. zero(x1) w: (0) #div(x1,x2) w: (0)
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