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TRS Standard pair #516963968
details
property
value
status
complete
benchmark
IJCAR_18.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n069.star.cs.uiowa.edu
space
AProVE_04
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.150048017502 seconds
cpu usage
0.122184714
max memory
1.3242368E7
stage attributes
key
value
output-size
6144
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: plus(x,0()) -> x 2: plus(0(),y) -> y 3: plus(s(x),y) -> s(plus(x,y)) 4: times(0(),y) -> 0() 5: times(s(0()),y) -> y 6: times(s(x),y) -> plus(y,times(x,y)) 7: div(0(),y) -> 0() 8: div(x,y) -> quot(x,y,y) 9: quot(0(),s(y),z) -> 0() 10: quot(s(x),s(y),z) -> quot(x,y,z) 11: quot(x,0(),s(z)) -> s(div(x,s(z))) 12: div(div(x,y),z) -> div(x,times(y,z)) 13: eq(0(),0()) -> true() 14: eq(s(x),0()) -> false() 15: eq(0(),s(y)) -> false() 16: eq(s(x),s(y)) -> eq(x,y) 17: divides(y,x) -> eq(x,times(div(x,y),y)) 18: prime(s(s(x))) -> pr(s(s(x)),s(x)) 19: pr(x,s(0())) -> true() 20: pr(x,s(s(y))) -> if(divides(s(s(y)),x),x,s(y)) 21: if(true(),x,y) -> false() 22: if(false(),x,y) -> pr(x,y) Number of strict rules: 22 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #times(s(x),y) -> #plus(y,times(x,y)) #2: #times(s(x),y) -> #times(x,y) #3: #quot(x,0(),s(z)) -> #div(x,s(z)) #4: #div(div(x,y),z) -> #div(x,times(y,z)) #5: #div(div(x,y),z) -> #times(y,z) #6: #pr(x,s(s(y))) -> #if(divides(s(s(y)),x),x,s(y)) #7: #pr(x,s(s(y))) -> #divides(s(s(y)),x) #8: #quot(s(x),s(y),z) -> #quot(x,y,z) #9: #if(false(),x,y) -> #pr(x,y) #10: #divides(y,x) -> #eq(x,times(div(x,y),y)) #11: #divides(y,x) -> #times(div(x,y),y) #12: #divides(y,x) -> #div(x,y) #13: #eq(s(x),s(y)) -> #eq(x,y) #14: #plus(s(x),y) -> #plus(x,y) #15: #div(x,y) -> #quot(x,y,y) #16: #prime(s(s(x))) -> #pr(s(s(x)),s(x)) Number of SCCs: 5, DPs: 9 SCC { #2 } Sum... succeeded. #div(x1,x2) w: (0) s(x1) w: (1 + x1) prime(x1) w: (0) #plus(x1,x2) w: (0) #pr(x1,x2) w: (0) eq(x1,x2) w: (0) false() w: (0) div(x1,x2) w: (0) true() w: (0) #eq(x1,x2) w: (0) #prime(x1) w: (0) #times(x1,x2) w: (x1) 0() w: (0) if(x1,x2,x3) w: (0) quot(x1,x2,x3) w: (0) times(x1,x2) w: (0) pr(x1,x2) w: (0) #divides(x1,x2) w: (0) plus(x1,x2) w: (0) #if(x1,x2,x3) w: (0) #quot(x1,x2,x3) w: (0) divides(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #2 Number of SCCs: 4, DPs: 8 SCC { #14 } Sum... succeeded. #div(x1,x2) w: (0) s(x1) w: (1 + x1) prime(x1) w: (0) #plus(x1,x2) w: (x1) #pr(x1,x2) w: (0) eq(x1,x2) w: (0) false() w: (0) div(x1,x2) w: (0) true() w: (0) #eq(x1,x2) w: (0) #prime(x1) w: (0) #times(x1,x2) w: (0) 0() w: (0) if(x1,x2,x3) w: (0) quot(x1,x2,x3) w: (0) times(x1,x2) w: (0) pr(x1,x2) w: (0) #divides(x1,x2) w: (0) plus(x1,x2) w: (0) #if(x1,x2,x3) w: (0)
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