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TRS Standard pair #516960823
details
property
value
status
complete
benchmark
thiemann14.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n177.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.297773122787 seconds
cpu usage
0.27812967
max memory
1.8485248E7
stage attributes
key
value
output-size
6144
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: empty(nil()) -> true() 2: empty(cons(x,y)) -> false() 3: tail(nil()) -> nil() 4: tail(cons(x,y)) -> y 5: head(cons(x,y)) -> x 6: zero(0()) -> true() 7: zero(s(x)) -> false() 8: p(0()) -> 0() 9: p(s(0())) -> 0() 10: p(s(s(x))) -> s(p(s(x))) 11: intlist(x) -> if_intlist(empty(x),x) 12: if_intlist(true(),x) -> nil() 13: if_intlist(false(),x) -> cons(s(head(x)),intlist(tail(x))) 14: int(x,y) -> if_int(zero(x),zero(y),x,y) 15: if_int(true(),b,x,y) -> if1(b,x,y) 16: if_int(false(),b,x,y) -> if2(b,x,y) 17: if1(true(),x,y) -> cons(0(),nil()) 18: if1(false(),x,y) -> cons(0(),int(s(0()),y)) 19: if2(true(),x,y) -> nil() 20: if2(false(),x,y) -> intlist(int(p(x),p(y))) Number of strict rules: 20 Direct poly ... failed. Freezing p 1: empty(nil()) -> true() 2: empty(cons(x,y)) -> false() 3: tail(nil()) -> nil() 4: tail(cons(x,y)) -> y 5: head(cons(x,y)) -> x 6: zero(0()) -> true() 7: zero(s(x)) -> false() 8: p❆1_0() -> 0() 9: p❆1_s(0()) -> 0() 10: p❆1_s(s(x)) -> s(p❆1_s(x)) 11: intlist(x) -> if_intlist(empty(x),x) 12: if_intlist(true(),x) -> nil() 13: if_intlist(false(),x) -> cons(s(head(x)),intlist(tail(x))) 14: int(x,y) -> if_int(zero(x),zero(y),x,y) 15: if_int(true(),b,x,y) -> if1(b,x,y) 16: if_int(false(),b,x,y) -> if2(b,x,y) 17: if1(true(),x,y) -> cons(0(),nil()) 18: if1(false(),x,y) -> cons(0(),int(s(0()),y)) 19: if2(true(),x,y) -> nil() 20: if2(false(),x,y) -> intlist(int(p(x),p(y))) 21: p(0()) ->= p❆1_0() 22: p(s(_1)) ->= p❆1_s(_1) Number of strict rules: 20 Direct poly ... failed. Dependency Pairs: #1: #if_intlist(false(),x) -> #head(x) #2: #if_intlist(false(),x) -> #intlist(tail(x)) #3: #if_intlist(false(),x) -> #tail(x) #4: #intlist(x) -> #if_intlist(empty(x),x) #5: #intlist(x) -> #empty(x) #6: #int(x,y) -> #if_int(zero(x),zero(y),x,y) #7: #int(x,y) -> #zero(x) #8: #int(x,y) -> #zero(y) #9: #if2(false(),x,y) -> #intlist(int(p(x),p(y))) #10: #if2(false(),x,y) -> #int(p(x),p(y)) #11: #if2(false(),x,y) -> #p(x) #12: #if2(false(),x,y) -> #p(y) #13: #p❆1_s(s(x)) -> #p❆1_s(x) #14: #p(s(_1)) ->? #p❆1_s(_1) #15: #p(0()) ->? #p❆1_0() #16: #if_int(false(),b,x,y) -> #if2(b,x,y) #17: #if_int(true(),b,x,y) -> #if1(b,x,y) #18: #if1(false(),x,y) -> #int(s(0()),y) Number of SCCs: 3, DPs: 8 SCC { #13 } Sum... succeeded. zero(x1) w: (0) #empty(x1) w: (0) #intlist(x1) w: (0) s(x1) w: (1 + x1) if_int(x1,x2,x3,x4) w: (0) p❆1_s(x1) w: (0) #if_int(x1,x2,x3,x4) w: (0) #p❆1_0() w: (0) if1(x1,x2,x3) w: (0) false() w: (0) #head(x1) w: (0) #p(x1) w: (0) #p❆1_s(x1) w: (x1) true() w: (0) #if1(x1,x2,x3) w: (0) if2(x1,x2,x3) w: (0) p(x1) w: (0) tail(x1) w: (0) 0() w: (0) p❆1_0() w: (0) nil() w: (0) intlist(x1) w: (0) #tail(x1) w: (0)
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