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TRS Standard pair #516960988
details
property
value
status
complete
benchmark
thiemann07.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n048.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.360690116882 seconds
cpu usage
0.327558467
max memory
1.763328E7
stage attributes
key
value
output-size
5752
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: car(cons(x,l)) -> x 2: cddr(nil()) -> nil() 3: cddr(cons(x,nil())) -> nil() 4: cddr(cons(x,cons(y,l))) -> l 5: cadr(cons(x,cons(y,l))) -> y 6: isZero(0()) -> true() 7: isZero(s(x)) -> false() 8: plus(x,y) -> ifplus(isZero(x),x,y) 9: ifplus(true(),x,y) -> y 10: ifplus(false(),x,y) -> s(plus(p(x),y)) 11: times(x,y) -> iftimes(isZero(x),x,y) 12: iftimes(true(),x,y) -> 0() 13: iftimes(false(),x,y) -> plus(y,times(p(x),y)) 14: p(s(x)) -> x 15: p(0()) -> 0() 16: shorter(nil(),y) -> true() 17: shorter(cons(x,l),0()) -> false() 18: shorter(cons(x,l),s(y)) -> shorter(l,y) 19: prod(l) -> if(shorter(l,0()),shorter(l,s(0())),l) 20: if(true(),b,l) -> s(0()) 21: if(false(),b,l) -> if2(b,l) 22: if2(true(),l) -> car(l) 23: if2(false(),l) -> prod(cons(times(car(l),cadr(l)),cddr(l))) Number of strict rules: 23 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #iftimes(false(),x,y) -> #plus(y,times(p(x),y)) #2: #iftimes(false(),x,y) -> #times(p(x),y) #3: #iftimes(false(),x,y) -> #p(x) #4: #times(x,y) -> #iftimes(isZero(x),x,y) #5: #times(x,y) -> #isZero(x) #6: #if2(false(),l) -> #prod(cons(times(car(l),cadr(l)),cddr(l))) #7: #if2(false(),l) -> #times(car(l),cadr(l)) #8: #if2(false(),l) -> #car(l) #9: #if2(false(),l) -> #cadr(l) #10: #if2(false(),l) -> #cddr(l) #11: #ifplus(false(),x,y) -> #plus(p(x),y) #12: #ifplus(false(),x,y) -> #p(x) #13: #if2(true(),l) -> #car(l) #14: #prod(l) -> #if(shorter(l,0()),shorter(l,s(0())),l) #15: #prod(l) -> #shorter(l,0()) #16: #prod(l) -> #shorter(l,s(0())) #17: #if(false(),b,l) -> #if2(b,l) #18: #plus(x,y) -> #ifplus(isZero(x),x,y) #19: #plus(x,y) -> #isZero(x) #20: #shorter(cons(x,l),s(y)) -> #shorter(l,y) Number of SCCs: 4, DPs: 8 SCC { #20 } Sum... succeeded. prod(x1) w: (0) s(x1) w: (1) iftimes(x1,x2,x3) w: (0) #isZero(x1) w: (0) #prod(x1) w: (0) #cadr(x1) w: (0) cddr(x1) w: (0) #plus(x1,x2) w: (0) false() w: (0) #p(x1) w: (0) true() w: (0) #shorter(x1,x2) w: (x1) #iftimes(x1,x2,x3) w: (0) if2(x1,x2) w: (0) ifplus(x1,x2,x3) w: (0) p(x1) w: (0) #times(x1,x2) w: (0) 0() w: (0) if(x1,x2,x3) w: (0) shorter(x1,x2) w: (0) times(x1,x2) w: (0) nil() w: (0) #ifplus(x1,x2,x3) w: (0) plus(x1,x2) w: (0) #cddr(x1) w: (0) cons(x1,x2) w: (1 + x2) #if(x1,x2,x3) w: (0) isZero(x1) w: (0) cadr(x1) w: (0) #car(x1) w: (0) #if2(x1,x2) w: (0) car(x1) w: (0) USABLE RULES: { } Removed DPs: #20 Number of SCCs: 3, DPs: 7 SCC { #2 #4 } Sum... Max... QLPOpS... NegMaxSum... succeeded. prod(x1) w: (0) s(x1) w: (max{0, 20654 + x1}) iftimes(x1,x2,x3) w: (0) #isZero(x1) w: (0) #prod(x1) w: (0)
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