details

property	value
status	complete
benchmark	aprove5.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n138.star.cs.uiowa.edu
space	Secret_05_TRS

run statistics

property	value
solver	NaTT 2.3.3
configuration	default
runtime (wallclock)	0.0990750789642 seconds
cpu usage	0.105549301
max memory	6.0735488E7

stage attributes

key	value
output-size	4282
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(x,0()) -> x 2: minus(0(),y) -> 0() 3: minus(s(x),s(y)) -> minus(p(s(x)),p(s(y))) 4: minus(x,plus(y,z)) -> minus(minus(x,y),z) 5: p(s(s(x))) -> s(p(s(x))) 6: p(0()) -> s(s(0())) 7: div(s(x),s(y)) -> s(div(minus(x,y),s(y))) 8: div(plus(x,y),z) -> plus(div(x,z),div(y,z)) 9: plus(0(),y) -> y 10: plus(s(x),y) -> s(plus(y,minus(s(x),s(0())))) Number of strict rules: 10 Direct Order(PosReal,>,Poly) ... failed. Freezing p 1: minus(x,0()) -> x 2: minus(0(),y) -> 0() 3: minus(s(x),s(y)) -> minus(p❆1_s(x),p❆1_s(y)) 4: minus(x,plus(y,z)) -> minus(minus(x,y),z) 5: p❆1_s(s(x)) -> s(p❆1_s(x)) 6: p❆1_0() -> s(s(0())) 7: div(s(x),s(y)) -> s(div(minus(x,y),s(y))) 8: div(plus(x,y),z) -> plus(div(x,z),div(y,z)) 9: plus(0(),y) -> y 10: plus(s(x),y) -> s(plus(y,minus(s(x),s(0())))) 11: p(0()) ->= p❆1_0() 12: p(s(_1)) ->= p❆1_s(_1) Number of strict rules: 10 Direct Order(PosReal,>,Poly) ... failed. Dependency Pairs: #1: #p(0()) ->? #p❆1_0() #2: #p(s(_1)) ->? #p❆1_s(_1) #3: #div(s(x),s(y)) -> #div(minus(x,y),s(y)) #4: #div(s(x),s(y)) -> #minus(x,y) #5: #plus(s(x),y) -> #plus(y,minus(s(x),s(0()))) #6: #plus(s(x),y) -> #minus(s(x),s(0())) #7: #p❆1_s(s(x)) -> #p❆1_s(x) #8: #minus(s(x),s(y)) -> #minus(p❆1_s(x),p❆1_s(y)) #9: #minus(s(x),s(y)) -> #p❆1_s(x) #10: #minus(s(x),s(y)) -> #p❆1_s(y) #11: #div(plus(x,y),z) -> #plus(div(x,z),div(y,z)) #12: #div(plus(x,y),z) -> #div(x,z) #13: #div(plus(x,y),z) -> #div(y,z) #14: #minus(x,plus(y,z)) -> #minus(minus(x,y),z) #15: #minus(x,plus(y,z)) -> #minus(x,y) Number of SCCs: 5, DPs: 8, edges: 16 SCC { #7 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #div(x1,x2) weight: 0 s(x1) weight: (/ 1 2) + x1 minus(x1,x2) weight: 0 p❆1_s(x1) weight: 0 #p❆1_0() weight: 0 #plus(x1,x2) weight: 0 div(x1,x2) weight: 0 #p(x1) weight: 0 #p❆1_s(x1) weight: x1 p(x1) weight: 0 0() weight: 0 p❆1_0() weight: 0 #minus(x1,x2) weight: 0 plus(x1,x2) weight: 0 Usable rules: { } Removed DPs: #7 Number of SCCs: 4, DPs: 7, edges: 15 SCC { #8 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #div(x1,x2) weight: 0 s(x1) weight: (/ 1 2) + x1 minus(x1,x2) weight: 0 p❆1_s(x1) weight: (/ 1 4) + x1 #p❆1_0() weight: 0 #plus(x1,x2) weight: 0 div(x1,x2) weight: 0 #p(x1) weight: 0 #p❆1_s(x1) weight: 0 p(x1) weight: 0 0() weight: 0 p❆1_0() weight: 0 #minus(x1,x2) weight: x2 plus(x1,x2) weight: 0 Usable rules: { 5 } Removed DPs: #8 Number of SCCs: 3, DPs: 6, edges: 14 SCC { #5 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #div(x1,x2) weight: 0 s(x1) weight: (/ 1 2) + x1 minus(x1,x2) weight: (/ 1 4) p❆1_s(x1) weight: (/ 1 4) + x1 #p❆1_0() weight: 0 #plus(x1,x2) weight: x1 + x2 div(x1,x2) weight: 0 #p(x1) weight: 0 popout

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