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TRS Stand 20472 pair #381711680
details
property
value
status
complete
benchmark
t001.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n113.star.cs.uiowa.edu
space
HirokawaMiddeldorp_04
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
1.77755188942 seconds
cpu usage
5.661788898
max memory
5.85289728E8
stage attributes
key
value
output-size
12518
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: -(x,0()) -> x -(s(x),s(y)) -> -(x,y) *(x,0()) -> 0() *(x,s(y)) -> +(*(x,y),x) if(true(),x,y) -> x if(false(),x,y) -> y odd(0()) -> false() odd(s(0())) -> true() odd(s(s(x))) -> odd(x) half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) if(true(),x,y) -> true() if(false(),x,y) -> false() pow(x,y) -> f(x,y,s(0())) f(x,0(),z) -> z f(x,s(y),z) -> if(odd(s(y)),f(x,y,*(x,z)),f(*(x,x),half(s(y)),z)) Proof: DP Processor: DPs: -#(s(x),s(y)) -> -#(x,y) *#(x,s(y)) -> *#(x,y) odd#(s(s(x))) -> odd#(x) half#(s(s(x))) -> half#(x) pow#(x,y) -> f#(x,y,s(0())) f#(x,s(y),z) -> half#(s(y)) f#(x,s(y),z) -> *#(x,x) f#(x,s(y),z) -> f#(*(x,x),half(s(y)),z) f#(x,s(y),z) -> *#(x,z) f#(x,s(y),z) -> f#(x,y,*(x,z)) f#(x,s(y),z) -> odd#(s(y)) f#(x,s(y),z) -> if#(odd(s(y)),f(x,y,*(x,z)),f(*(x,x),half(s(y)),z)) TRS: -(x,0()) -> x -(s(x),s(y)) -> -(x,y) *(x,0()) -> 0() *(x,s(y)) -> +(*(x,y),x) if(true(),x,y) -> x if(false(),x,y) -> y odd(0()) -> false() odd(s(0())) -> true() odd(s(s(x))) -> odd(x) half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) if(true(),x,y) -> true() if(false(),x,y) -> false() pow(x,y) -> f(x,y,s(0())) f(x,0(),z) -> z f(x,s(y),z) -> if(odd(s(y)),f(x,y,*(x,z)),f(*(x,x),half(s(y)),z)) TDG Processor: DPs: -#(s(x),s(y)) -> -#(x,y) *#(x,s(y)) -> *#(x,y) odd#(s(s(x))) -> odd#(x) half#(s(s(x))) -> half#(x) pow#(x,y) -> f#(x,y,s(0())) f#(x,s(y),z) -> half#(s(y)) f#(x,s(y),z) -> *#(x,x) f#(x,s(y),z) -> f#(*(x,x),half(s(y)),z) f#(x,s(y),z) -> *#(x,z) f#(x,s(y),z) -> f#(x,y,*(x,z)) f#(x,s(y),z) -> odd#(s(y)) f#(x,s(y),z) -> if#(odd(s(y)),f(x,y,*(x,z)),f(*(x,x),half(s(y)),z)) TRS: -(x,0()) -> x -(s(x),s(y)) -> -(x,y) *(x,0()) -> 0() *(x,s(y)) -> +(*(x,y),x) if(true(),x,y) -> x if(false(),x,y) -> y odd(0()) -> false() odd(s(0())) -> true() odd(s(s(x))) -> odd(x) half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) if(true(),x,y) -> true() if(false(),x,y) -> false() pow(x,y) -> f(x,y,s(0())) f(x,0(),z) -> z f(x,s(y),z) -> if(odd(s(y)),f(x,y,*(x,z)),f(*(x,x),half(s(y)),z)) graph: f#(x,s(y),z) -> f#(*(x,x),half(s(y)),z) -> f#(x,s(y),z) -> if#(odd(s(y)),f(x,y,*(x,z)),f(*(x,x),half(s(y)),z)) f#(x,s(y),z) -> f#(*(x,x),half(s(y)),z) -> f#(x,s(y),z) -> odd#(s(y)) f#(x,s(y),z) -> f#(*(x,x),half(s(y)),z) -> f#(x,s(y),z) -> f#(x,y,*(x,z)) f#(x,s(y),z) -> f#(*(x,x),half(s(y)),z) ->
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