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TRS Standard pair #516968133
details
property
value
status
complete
benchmark
t003.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n169.star.cs.uiowa.edu
space
HirokawaMiddeldorp_04
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.101531028748 seconds
cpu usage
0.065137248
max memory
9822208.0
stage attributes
key
value
output-size
3983
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: -(x,0()) -> x 2: -(s(x),s(y)) -> -(x,y) 3: <=(0(),y) -> true() 4: <=(s(x),0()) -> false() 5: <=(s(x),s(y)) -> <=(x,y) 6: if(true(),x,y) -> x 7: if(false(),x,y) -> y 8: perfectp(0()) -> false() 9: perfectp(s(x)) -> f(x,s(0()),s(x),s(x)) 10: f(0(),y,0(),u) -> true() 11: f(0(),y,s(z),u) -> false() 12: f(s(x),0(),z,u) -> f(x,u,-(z,s(x)),u) 13: f(s(x),s(y),z,u) -> if(<=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u)) Number of strict rules: 13 Direct poly ... failed. Freezing f 1: -(x,0()) -> x 2: -(s(x),s(y)) -> -(x,y) 3: <=(0(),y) -> true() 4: <=(s(x),0()) -> false() 5: <=(s(x),s(y)) -> <=(x,y) 6: if(true(),x,y) -> x 7: if(false(),x,y) -> y 8: perfectp(0()) -> false() 9: perfectp(s(x)) -> f(x,s(0()),s(x),s(x)) 10: f❆1_0(y,0(),u) -> true() 11: f❆1_0(y,s(z),u) -> false() 12: f❆1_s(x,0(),z,u) -> f(x,u,-(z,s(x)),u) 13: f❆1_s(x,s(y),z,u) -> if(<=(x,y),f❆1_s(x,-(y,x),z,u),f(x,u,z,u)) 14: f(0(),_3,_4,_5) ->= f❆1_0(_3,_4,_5) 15: f(s(_1),_4,_5,_6) ->= f❆1_s(_1,_4,_5,_6) Number of strict rules: 13 Direct poly ... failed. Dependency Pairs: #1: #-(s(x),s(y)) -> #-(x,y) #2: #f❆1_s(x,s(y),z,u) -> #if(<=(x,y),f❆1_s(x,-(y,x),z,u),f(x,u,z,u)) #3: #f❆1_s(x,s(y),z,u) -> #<=(x,y) #4: #f❆1_s(x,s(y),z,u) -> #f❆1_s(x,-(y,x),z,u) #5: #f❆1_s(x,s(y),z,u) -> #-(y,x) #6: #f❆1_s(x,s(y),z,u) -> #f(x,u,z,u) #7: #perfectp(s(x)) -> #f(x,s(0()),s(x),s(x)) #8: #f❆1_s(x,0(),z,u) -> #f(x,u,-(z,s(x)),u) #9: #f❆1_s(x,0(),z,u) -> #-(z,s(x)) #10: #f(0(),_3,_4,_5) ->? #f❆1_0(_3,_4,_5) #11: #<=(s(x),s(y)) -> #<=(x,y) #12: #f(s(_1),_4,_5,_6) ->? #f❆1_s(_1,_4,_5,_6) Number of SCCs: 3, DPs: 6 SCC { #11 } Sum... succeeded. #f❆1_s(x1,x2,x3,x4) w: (0) s(x1) w: (1 + x1) <=(x1,x2) w: (0) #perfectp(x1) w: (0) false() w: (0) #<=(x1,x2) w: (x2) true() w: (0) f❆1_s(x1,x2,x3,x4) w: (0) f(x1,x2,x3,x4) w: (0) 0() w: (0) if(x1,x2,x3) w: (0) -(x1,x2) w: (0) #f❆1_0(x1,x2,x3) w: (0) #f(x1,x2,x3,x4) w: (0) #-(x1,x2) w: (0) #if(x1,x2,x3) w: (0) perfectp(x1) w: (0) f❆1_0(x1,x2,x3) w: (0) USABLE RULES: { } Removed DPs: #11 Number of SCCs: 2, DPs: 5 SCC { #1 } Sum... succeeded. #f❆1_s(x1,x2,x3,x4) w: (0) s(x1) w: (1 + x1) <=(x1,x2) w: (0) #perfectp(x1) w: (0) false() w: (0) #<=(x1,x2) w: (0) true() w: (0) f❆1_s(x1,x2,x3,x4) w: (0) f(x1,x2,x3,x4) w: (0) 0() w: (0) if(x1,x2,x3) w: (0) -(x1,x2) w: (0) #f❆1_0(x1,x2,x3) w: (0) #f(x1,x2,x3,x4) w: (0) #-(x1,x2) w: (x2) #if(x1,x2,x3) w: (0) perfectp(x1) w: (0) f❆1_0(x1,x2,x3) w: (0) USABLE RULES: { } Removed DPs: #1
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