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TRS Stand 20472 pair #381710547
details
property
value
status
complete
benchmark
tpa10.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n082.star.cs.uiowa.edu
space
Secret_06_TRS
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
28.5339930058 seconds
cpu usage
112.361263953
max memory
1.041702912E9
stage attributes
key
value
output-size
25159
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: min(0(),y) -> 0() min(x,0()) -> 0() min(s(x),s(y)) -> s(min(x,y)) max(0(),y) -> y max(x,0()) -> x max(s(x),s(y)) -> s(max(x,y)) +(0(),y) -> y +(s(x),y) -> s(+(x,y)) -(x,0()) -> x -(s(x),s(y)) -> -(x,y) *(x,0()) -> 0() *(x,s(y)) -> +(x,*(x,y)) p(s(x)) -> x f(s(x),s(y)) -> f(-(min(s(x),s(y)),max(s(x),s(y))),*(s(x),s(y))) Proof: DP Processor: DPs: min#(s(x),s(y)) -> min#(x,y) max#(s(x),s(y)) -> max#(x,y) +#(s(x),y) -> +#(x,y) -#(s(x),s(y)) -> -#(x,y) *#(x,s(y)) -> *#(x,y) *#(x,s(y)) -> +#(x,*(x,y)) f#(s(x),s(y)) -> *#(s(x),s(y)) f#(s(x),s(y)) -> max#(s(x),s(y)) f#(s(x),s(y)) -> min#(s(x),s(y)) f#(s(x),s(y)) -> -#(min(s(x),s(y)),max(s(x),s(y))) f#(s(x),s(y)) -> f#(-(min(s(x),s(y)),max(s(x),s(y))),*(s(x),s(y))) TRS: min(0(),y) -> 0() min(x,0()) -> 0() min(s(x),s(y)) -> s(min(x,y)) max(0(),y) -> y max(x,0()) -> x max(s(x),s(y)) -> s(max(x,y)) +(0(),y) -> y +(s(x),y) -> s(+(x,y)) -(x,0()) -> x -(s(x),s(y)) -> -(x,y) *(x,0()) -> 0() *(x,s(y)) -> +(x,*(x,y)) p(s(x)) -> x f(s(x),s(y)) -> f(-(min(s(x),s(y)),max(s(x),s(y))),*(s(x),s(y))) TDG Processor: DPs: min#(s(x),s(y)) -> min#(x,y) max#(s(x),s(y)) -> max#(x,y) +#(s(x),y) -> +#(x,y) -#(s(x),s(y)) -> -#(x,y) *#(x,s(y)) -> *#(x,y) *#(x,s(y)) -> +#(x,*(x,y)) f#(s(x),s(y)) -> *#(s(x),s(y)) f#(s(x),s(y)) -> max#(s(x),s(y)) f#(s(x),s(y)) -> min#(s(x),s(y)) f#(s(x),s(y)) -> -#(min(s(x),s(y)),max(s(x),s(y))) f#(s(x),s(y)) -> f#(-(min(s(x),s(y)),max(s(x),s(y))),*(s(x),s(y))) TRS: min(0(),y) -> 0() min(x,0()) -> 0() min(s(x),s(y)) -> s(min(x,y)) max(0(),y) -> y max(x,0()) -> x max(s(x),s(y)) -> s(max(x,y)) +(0(),y) -> y +(s(x),y) -> s(+(x,y)) -(x,0()) -> x -(s(x),s(y)) -> -(x,y) *(x,0()) -> 0() *(x,s(y)) -> +(x,*(x,y)) p(s(x)) -> x f(s(x),s(y)) -> f(-(min(s(x),s(y)),max(s(x),s(y))),*(s(x),s(y))) graph: f#(s(x),s(y)) -> f#(-(min(s(x),s(y)),max(s(x),s(y))),*(s(x),s(y))) -> f#(s(x),s(y)) -> f#(-(min(s(x),s(y)),max(s(x),s(y))),*(s(x),s(y))) f#(s(x),s(y)) -> f#(-(min(s(x),s(y)),max(s(x),s(y))),*(s(x),s(y))) -> f#(s(x),s(y)) -> -#(min(s(x),s(y)),max(s(x),s(y))) f#(s(x),s(y)) -> f#(-(min(s(x),s(y)),max(s(x),s(y))),*(s(x),s(y))) -> f#(s(x),s(y)) -> min#(s(x),s(y)) f#(s(x),s(y)) -> f#(-(min(s(x),s(y)),max(s(x),s(y))),*(s(x),s(y))) -> f#(s(x),s(y)) -> max#(s(x),s(y)) f#(s(x),s(y)) -> f#(-(min(s(x),s(y)),max(s(x),s(y))),*(s(x),s(y))) -> f#(s(x),s(y)) -> *#(s(x),s(y)) f#(s(x),s(y)) -> *#(s(x),s(y)) -> *#(x,s(y)) -> +#(x,*(x,y)) f#(s(x),s(y)) -> *#(s(x),s(y)) -> *#(x,s(y)) -> *#(x,y) f#(s(x),s(y)) -> -#(min(s(x),s(y)),max(s(x),s(y))) -> -#(s(x),s(y)) -> -#(x,y) f#(s(x),s(y)) -> max#(s(x),s(y)) -> max#(s(x),s(y)) -> max#(x,y) f#(s(x),s(y)) -> min#(s(x),s(y)) -> min#(s(x),s(y)) -> min#(x,y)
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