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TRS Stand 20472 pair #381711640
details
property
value
status
complete
benchmark
wiehe03.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n025.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.171704053879 seconds
cpu usage
0.189098245
max memory
1.6543744E7
stage attributes
key
value
output-size
7058
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: app(nil(),k) -> k 2: app(l,nil()) -> l 3: app(cons(x,l),k) -> cons(x,app(l,k)) 4: sum(cons(x,nil())) -> cons(x,nil()) 5: sum(cons(x,cons(y,l))) -> sum(cons(plus(x,y),l)) 6: sum(app(l,cons(x,cons(y,k)))) -> sum(app(l,sum(cons(x,cons(y,k))))) 7: sum(plus(cons(0(),x),cons(y,l))) -> pred(sum(cons(s(x),cons(y,l)))) 8: pred(cons(s(x),nil())) -> cons(x,nil()) 9: plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) 10: plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) 11: plus(zero(),y) -> y 12: plus(id(x),s(y)) -> s(plus(x,if(gt(s(y),y),y,s(y)))) 13: id(x) -> x 14: if(true(),x,y) -> x 15: if(false(),x,y) -> y 16: not(x) -> if(x,false(),true()) 17: gt(s(x),zero()) -> true() 18: gt(zero(),y) -> false() 19: gt(s(x),s(y)) -> gt(x,y) Number of strict rules: 19 Direct POLO(bPol) ... failed. Uncurrying gt 1: app(nil(),k) -> k 2: app(l,nil()) -> l 3: app(cons(x,l),k) -> cons(x,app(l,k)) 4: sum(cons(x,nil())) -> cons(x,nil()) 5: sum(cons(x,cons(y,l))) -> sum(cons(plus(x,y),l)) 6: sum(app(l,cons(x,cons(y,k)))) -> sum(app(l,sum(cons(x,cons(y,k))))) 7: sum(plus(cons(0(),x),cons(y,l))) -> pred(sum(cons(s(x),cons(y,l)))) 8: pred(cons(s(x),nil())) -> cons(x,nil()) 9: plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) 10: plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) 11: plus(zero(),y) -> y 12: plus(id(x),s(y)) -> s(plus(x,if(gt^1_s(y,y),y,s(y)))) 13: id(x) -> x 14: if(true(),x,y) -> x 15: if(false(),x,y) -> y 16: not(x) -> if(x,false(),true()) 17: gt^1_s(x,zero()) -> true() 18: gt^1_zero(y) -> false() 19: gt^1_s(x,s(y)) -> gt(x,y) 20: gt(zero(),_1) ->= gt^1_zero(_1) 21: gt(s(_1),_2) ->= gt^1_s(_1,_2) Number of strict rules: 19 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #sum(app(l,cons(x,cons(y,k)))) -> #sum(app(l,sum(cons(x,cons(y,k))))) #2: #sum(app(l,cons(x,cons(y,k)))) -> #app(l,sum(cons(x,cons(y,k)))) #3: #sum(app(l,cons(x,cons(y,k)))) -> #sum(cons(x,cons(y,k))) #4: #plus(s(x),s(y)) -> #plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))) #5: #plus(s(x),s(y)) -> #if(gt(x,y),x,y) #6: #plus(s(x),s(y)) -> #gt(x,y) #7: #plus(s(x),s(y)) -> #if(not(gt(x,y)),id(x),id(y)) #8: #plus(s(x),s(y)) -> #not(gt(x,y)) #9: #plus(s(x),s(y)) -> #gt(x,y) #10: #plus(s(x),s(y)) -> #id(x) #11: #plus(s(x),s(y)) -> #id(y) #12: #plus(id(x),s(y)) -> #plus(x,if(gt^1_s(y,y),y,s(y))) #13: #plus(id(x),s(y)) -> #if(gt^1_s(y,y),y,s(y)) #14: #plus(id(x),s(y)) -> #gt^1_s(y,y) #15: #gt(zero(),_1) ->? #gt^1_zero(_1) #16: #sum(plus(cons(0(),x),cons(y,l))) -> #pred(sum(cons(s(x),cons(y,l)))) #17: #sum(plus(cons(0(),x),cons(y,l))) -> #sum(cons(s(x),cons(y,l))) #18: #plus(s(x),x) -> #plus(if(gt(x,x),id(x),id(x)),s(x)) #19: #plus(s(x),x) -> #if(gt(x,x),id(x),id(x)) #20: #plus(s(x),x) -> #gt(x,x) #21: #plus(s(x),x) -> #id(x) #22: #plus(s(x),x) -> #id(x) #23: #sum(cons(x,cons(y,l))) -> #sum(cons(plus(x,y),l)) #24: #sum(cons(x,cons(y,l))) -> #plus(x,y) #25: #gt^1_s(x,s(y)) -> #gt(x,y) #26: #gt(s(_1),_2) ->? #gt^1_s(_1,_2) #27: #not(x) -> #if(x,false(),true()) #28: #app(cons(x,l),k) -> #app(l,k) Number of SCCs: 5, DPs: 8 SCC { #28 } POLO(Sum)... succeeded. zero w: 0 s w: 0 gt w: 0 #gt^1_zero w: 0 #plus w: 0 false w: 0 #id w: 0 gt^1_zero w: 0 true w: 0 pred w: 0 sum w: 0 #not w: 0 0 w: 0 if w: 0 nil w: 0
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