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TRS Stand 20472 pair #381709683
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
n083.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
2.67556810379 seconds
cpu usage
9.192463952
max memory
7.2517632E8
stage attributes
key
value
output-size
17445
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: empty(nil()) -> true() empty(cons(x,y)) -> false() tail(nil()) -> nil() tail(cons(x,y)) -> y head(cons(x,y)) -> x zero(0()) -> true() zero(s(x)) -> false() p(0()) -> 0() p(s(0())) -> 0() p(s(s(x))) -> s(p(s(x))) intlist(x) -> if_intlist(empty(x),x) if_intlist(true(),x) -> nil() if_intlist(false(),x) -> cons(s(head(x)),intlist(tail(x))) int(x,y) -> if_int(zero(x),zero(y),x,y) if_int(true(),b,x,y) -> if1(b,x,y) if_int(false(),b,x,y) -> if2(b,x,y) if1(true(),x,y) -> cons(0(),nil()) if1(false(),x,y) -> cons(0(),int(s(0()),y)) if2(true(),x,y) -> nil() if2(false(),x,y) -> intlist(int(p(x),p(y))) Proof: DP Processor: DPs: p#(s(s(x))) -> p#(s(x)) intlist#(x) -> empty#(x) intlist#(x) -> if_intlist#(empty(x),x) if_intlist#(false(),x) -> tail#(x) if_intlist#(false(),x) -> intlist#(tail(x)) if_intlist#(false(),x) -> head#(x) int#(x,y) -> zero#(y) int#(x,y) -> zero#(x) int#(x,y) -> if_int#(zero(x),zero(y),x,y) if_int#(true(),b,x,y) -> if1#(b,x,y) if_int#(false(),b,x,y) -> if2#(b,x,y) if1#(false(),x,y) -> int#(s(0()),y) if2#(false(),x,y) -> p#(y) if2#(false(),x,y) -> p#(x) if2#(false(),x,y) -> int#(p(x),p(y)) if2#(false(),x,y) -> intlist#(int(p(x),p(y))) TRS: empty(nil()) -> true() empty(cons(x,y)) -> false() tail(nil()) -> nil() tail(cons(x,y)) -> y head(cons(x,y)) -> x zero(0()) -> true() zero(s(x)) -> false() p(0()) -> 0() p(s(0())) -> 0() p(s(s(x))) -> s(p(s(x))) intlist(x) -> if_intlist(empty(x),x) if_intlist(true(),x) -> nil() if_intlist(false(),x) -> cons(s(head(x)),intlist(tail(x))) int(x,y) -> if_int(zero(x),zero(y),x,y) if_int(true(),b,x,y) -> if1(b,x,y) if_int(false(),b,x,y) -> if2(b,x,y) if1(true(),x,y) -> cons(0(),nil()) if1(false(),x,y) -> cons(0(),int(s(0()),y)) if2(true(),x,y) -> nil() if2(false(),x,y) -> intlist(int(p(x),p(y))) TDG Processor: DPs: p#(s(s(x))) -> p#(s(x)) intlist#(x) -> empty#(x) intlist#(x) -> if_intlist#(empty(x),x) if_intlist#(false(),x) -> tail#(x) if_intlist#(false(),x) -> intlist#(tail(x)) if_intlist#(false(),x) -> head#(x) int#(x,y) -> zero#(y) int#(x,y) -> zero#(x) int#(x,y) -> if_int#(zero(x),zero(y),x,y) if_int#(true(),b,x,y) -> if1#(b,x,y) if_int#(false(),b,x,y) -> if2#(b,x,y) if1#(false(),x,y) -> int#(s(0()),y) if2#(false(),x,y) -> p#(y) if2#(false(),x,y) -> p#(x) if2#(false(),x,y) -> int#(p(x),p(y)) if2#(false(),x,y) -> intlist#(int(p(x),p(y))) TRS: empty(nil()) -> true() empty(cons(x,y)) -> false() tail(nil()) -> nil() tail(cons(x,y)) -> y head(cons(x,y)) -> x zero(0()) -> true() zero(s(x)) -> false() p(0()) -> 0() p(s(0())) -> 0() p(s(s(x))) -> s(p(s(x))) intlist(x) -> if_intlist(empty(x),x)
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