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TRS Standard pair #516967588
details
property
value
status
complete
benchmark
div_notCeTermin.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n089.star.cs.uiowa.edu
space
AProVE_06
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
6.44489908218 seconds
cpu usage
6.509912361
max memory
4.7333376E7
stage attributes
key
value
output-size
7482
starexec-result
MAYBE
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- MAYBE Input TRS: 1: ge(0(),0()) -> true() 2: ge(s(x),0()) -> ge(x,0()) 3: ge(0(),s(0())) -> false() 4: ge(0(),s(s(x))) -> ge(0(),s(x)) 5: ge(s(x),s(y)) -> ge(x,y) 6: minus(0(),0()) -> 0() 7: minus(0(),s(x)) -> minus(0(),x) 8: minus(s(x),0()) -> s(minus(x,0())) 9: minus(s(x),s(y)) -> minus(x,y) 10: plus(0(),0()) -> 0() 11: plus(0(),s(x)) -> s(plus(0(),x)) 12: plus(s(x),y) -> s(plus(x,y)) 13: div(x,y) -> ify(ge(y,s(0())),x,y) 14: ify(false(),x,y) -> divByZeroError() 15: ify(true(),x,y) -> if(ge(x,y),x,y) 16: if(false(),x,y) -> 0() 17: if(true(),x,y) -> s(div(minus(x,y),y)) Number of strict rules: 17 Direct poly ... failed. Freezing minus ge plus 1: ge❆1_0(0()) -> true() 2: ge❆1_s(x,0()) -> ge(x,0()) 3: ge❆1_0(s(0())) -> false() 4: ge❆1_0(s(s(x))) -> ge❆1_0(s(x)) 5: ge❆1_s(x,s(y)) -> ge(x,y) 6: minus❆1_0(0()) -> 0() 7: minus❆1_0(s(x)) -> minus❆1_0(x) 8: minus❆1_s(x,0()) -> s(minus(x,0())) 9: minus❆1_s(x,s(y)) -> minus(x,y) 10: plus❆1_0(0()) -> 0() 11: plus❆1_0(s(x)) -> s(plus❆1_0(x)) 12: plus❆1_s(x,y) -> s(plus(x,y)) 13: div(x,y) -> ify(ge(y,s(0())),x,y) 14: ify(false(),x,y) -> divByZeroError() 15: ify(true(),x,y) -> if(ge(x,y),x,y) 16: if(false(),x,y) -> 0() 17: if(true(),x,y) -> s(div(minus(x,y),y)) 18: plus(0(),_1) ->= plus❆1_0(_1) 19: plus(s(_1),_2) ->= plus❆1_s(_1,_2) 20: ge(0(),_1) ->= ge❆1_0(_1) 21: ge(s(_1),_2) ->= ge❆1_s(_1,_2) 22: minus(0(),_1) ->= minus❆1_0(_1) 23: minus(s(_1),_2) ->= minus❆1_s(_1,_2) Number of strict rules: 17 Direct poly ... failed. Dependency Pairs: #1: #ge❆1_s(x,0()) -> #ge(x,0()) #2: #div(x,y) -> #ify(ge(y,s(0())),x,y) #3: #div(x,y) -> #ge(y,s(0())) #4: #minus❆1_s(x,s(y)) -> #minus(x,y) #5: #plus❆1_0(s(x)) -> #plus❆1_0(x) #6: #minus(s(_1),_2) ->? #minus❆1_s(_1,_2) #7: #plus❆1_s(x,y) -> #plus(x,y) #8: #ge(0(),_1) ->? #ge❆1_0(_1) #9: #minus❆1_0(s(x)) -> #minus❆1_0(x) #10: #ge❆1_s(x,s(y)) -> #ge(x,y) #11: #minus(0(),_1) ->? #minus❆1_0(_1) #12: #if(true(),x,y) -> #div(minus(x,y),y) #13: #if(true(),x,y) -> #minus(x,y) #14: #plus(s(_1),_2) ->? #plus❆1_s(_1,_2) #15: #ge(s(_1),_2) ->? #ge❆1_s(_1,_2) #16: #minus❆1_s(x,0()) -> #minus(x,0()) #17: #ify(true(),x,y) -> #if(ge(x,y),x,y) #18: #ify(true(),x,y) -> #ge(x,y) #19: #ge❆1_0(s(s(x))) -> #ge❆1_0(s(x)) #20: #plus(0(),_1) ->? #plus❆1_0(_1) Number of SCCs: 7, DPs: 14 SCC { #9 } Sum... succeeded. minus❆1_s(x1,x2) w: (0) #div(x1,x2) w: (0) s(x1) w: (1 + x1) divByZeroError() w: (0) minus(x1,x2) w: (0) #ify(x1,x2,x3) w: (0) #plus(x1,x2) w: (0) plus❆1_0(x1) w: (0) false() w: (0) div(x1,x2) w: (0) #ge(x1,x2) w: (0) #minus❆1_s(x1,x2) w: (0) true() w: (0) ge❆1_0(x1) w: (0) 0() w: (0) if(x1,x2,x3) w: (0) ge(x1,x2) w: (0) minus❆1_0(x1) w: (0) #plus❆1_0(x1) w: (0) ge❆1_s(x1,x2) w: (0) ify(x1,x2,x3) w: (0) #minus(x1,x2) w: (0) #minus❆1_0(x1) w: (x1)
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