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TRS Stand 20472 pair #381713227
details
property
value
status
complete
benchmark
#4.29.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n030.star.cs.uiowa.edu
space
Strategy_removed_AG01
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
1.77694416046 seconds
cpu usage
5.610965376
max memory
5.726208E8
stage attributes
key
value
output-size
10281
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: even(0()) -> true() even(s(0())) -> false() even(s(s(x))) -> even(x) half(0()) -> 0() half(s(s(x))) -> s(half(x)) plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) times(0(),y) -> 0() times(s(x),y) -> if_times(even(s(x)),s(x),y) if_times(true(),s(x),y) -> plus(times(half(s(x)),y),times(half(s(x)),y)) if_times(false(),s(x),y) -> plus(y,times(x,y)) Proof: DP Processor: DPs: even#(s(s(x))) -> even#(x) half#(s(s(x))) -> half#(x) plus#(s(x),y) -> plus#(x,y) times#(s(x),y) -> even#(s(x)) times#(s(x),y) -> if_times#(even(s(x)),s(x),y) if_times#(true(),s(x),y) -> half#(s(x)) if_times#(true(),s(x),y) -> times#(half(s(x)),y) if_times#(true(),s(x),y) -> plus#(times(half(s(x)),y),times(half(s(x)),y)) if_times#(false(),s(x),y) -> times#(x,y) if_times#(false(),s(x),y) -> plus#(y,times(x,y)) TRS: even(0()) -> true() even(s(0())) -> false() even(s(s(x))) -> even(x) half(0()) -> 0() half(s(s(x))) -> s(half(x)) plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) times(0(),y) -> 0() times(s(x),y) -> if_times(even(s(x)),s(x),y) if_times(true(),s(x),y) -> plus(times(half(s(x)),y),times(half(s(x)),y)) if_times(false(),s(x),y) -> plus(y,times(x,y)) TDG Processor: DPs: even#(s(s(x))) -> even#(x) half#(s(s(x))) -> half#(x) plus#(s(x),y) -> plus#(x,y) times#(s(x),y) -> even#(s(x)) times#(s(x),y) -> if_times#(even(s(x)),s(x),y) if_times#(true(),s(x),y) -> half#(s(x)) if_times#(true(),s(x),y) -> times#(half(s(x)),y) if_times#(true(),s(x),y) -> plus#(times(half(s(x)),y),times(half(s(x)),y)) if_times#(false(),s(x),y) -> times#(x,y) if_times#(false(),s(x),y) -> plus#(y,times(x,y)) TRS: even(0()) -> true() even(s(0())) -> false() even(s(s(x))) -> even(x) half(0()) -> 0() half(s(s(x))) -> s(half(x)) plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) times(0(),y) -> 0() times(s(x),y) -> if_times(even(s(x)),s(x),y) if_times(true(),s(x),y) -> plus(times(half(s(x)),y),times(half(s(x)),y)) if_times(false(),s(x),y) -> plus(y,times(x,y)) graph: if_times#(false(),s(x),y) -> times#(x,y) -> times#(s(x),y) -> if_times#(even(s(x)),s(x),y) if_times#(false(),s(x),y) -> times#(x,y) -> times#(s(x),y) -> even#(s(x)) if_times#(false(),s(x),y) -> plus#(y,times(x,y)) -> plus#(s(x),y) -> plus#(x,y) if_times#(true(),s(x),y) -> times#(half(s(x)),y) -> times#(s(x),y) -> if_times#(even(s(x)),s(x),y) if_times#(true(),s(x),y) -> times#(half(s(x)),y) -> times#(s(x),y) -> even#(s(x)) if_times#(true(),s(x),y) -> plus#(times(half(s(x)),y),times(half(s(x)),y)) -> plus#(s(x),y) -> plus#(x,y) if_times#(true(),s(x),y) -> half#(s(x)) -> half#(s(s(x))) -> half#(x) times#(s(x),y) -> if_times#(even(s(x)),s(x),y) -> if_times#(false(),s(x),y) -> plus#(y,times(x,y)) times#(s(x),y) -> if_times#(even(s(x)),s(x),y) -> if_times#(false(),s(x),y) -> times#(x,y) times#(s(x),y) -> if_times#(even(s(x)),s(x),y) -> if_times#(true(),s(x),y) -> plus#(times(half(s(x)),y),times(half(s(x)),y)) times#(s(x),y) -> if_times#(even(s(x)),s(x),y) -> if_times#(true(),s(x),y) -> times#(half(s(x)),y) times#(s(x),y) -> if_times#(even(s(x)),s(x),y) -> if_times#(true(),s(x),y) -> half#(s(x)) times#(s(x),y) -> even#(s(x)) -> even#(s(s(x))) -> even#(x) plus#(s(x),y) -> plus#(x,y) -> plus#(s(x),y) -> plus#(x,y) half#(s(s(x))) -> half#(x) -> half#(s(s(x))) -> half#(x) even#(s(s(x))) -> even#(x) -> even#(s(s(x))) -> even#(x) SCC Processor:
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