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TRS Stand 20472 pair #381711834
details
property
value
status
complete
benchmark
ternary.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n004.star.cs.uiowa.edu
space
CiME_04
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
3.06705999374 seconds
cpu usage
10.453649656
max memory
8.75999232E8
stage attributes
key
value
output-size
43749
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: 0(#()) -> #() +(#(),x) -> x +(x,#()) -> x +(0(x),0(y)) -> 0(+(x,y)) +(0(x),1(y)) -> 1(+(x,y)) +(1(x),0(y)) -> 1(+(x,y)) +(0(x),j(y)) -> j(+(x,y)) +(j(x),0(y)) -> j(+(x,y)) +(1(x),1(y)) -> j(+(+(x,y),1(#()))) +(j(x),j(y)) -> 1(+(+(x,y),j(#()))) +(1(x),j(y)) -> 0(+(x,y)) +(j(x),1(y)) -> 0(+(x,y)) +(+(x,y),z) -> +(x,+(y,z)) opp(#()) -> #() opp(0(x)) -> 0(opp(x)) opp(1(x)) -> j(opp(x)) opp(j(x)) -> 1(opp(x)) -(x,y) -> +(x,opp(y)) *(#(),x) -> #() *(0(x),y) -> 0(*(x,y)) *(1(x),y) -> +(0(*(x,y)),y) *(j(x),y) -> -(0(*(x,y)),y) *(*(x,y),z) -> *(x,*(y,z)) Proof: DP Processor: DPs: +#(0(x),0(y)) -> +#(x,y) +#(0(x),0(y)) -> 0#(+(x,y)) +#(0(x),1(y)) -> +#(x,y) +#(1(x),0(y)) -> +#(x,y) +#(0(x),j(y)) -> +#(x,y) +#(j(x),0(y)) -> +#(x,y) +#(1(x),1(y)) -> +#(x,y) +#(1(x),1(y)) -> +#(+(x,y),1(#())) +#(j(x),j(y)) -> +#(x,y) +#(j(x),j(y)) -> +#(+(x,y),j(#())) +#(1(x),j(y)) -> +#(x,y) +#(1(x),j(y)) -> 0#(+(x,y)) +#(j(x),1(y)) -> +#(x,y) +#(j(x),1(y)) -> 0#(+(x,y)) +#(+(x,y),z) -> +#(y,z) +#(+(x,y),z) -> +#(x,+(y,z)) opp#(0(x)) -> opp#(x) opp#(0(x)) -> 0#(opp(x)) opp#(1(x)) -> opp#(x) opp#(j(x)) -> opp#(x) -#(x,y) -> opp#(y) -#(x,y) -> +#(x,opp(y)) *#(0(x),y) -> *#(x,y) *#(0(x),y) -> 0#(*(x,y)) *#(1(x),y) -> *#(x,y) *#(1(x),y) -> 0#(*(x,y)) *#(1(x),y) -> +#(0(*(x,y)),y) *#(j(x),y) -> *#(x,y) *#(j(x),y) -> 0#(*(x,y)) *#(j(x),y) -> -#(0(*(x,y)),y) *#(*(x,y),z) -> *#(y,z) *#(*(x,y),z) -> *#(x,*(y,z)) TRS: 0(#()) -> #() +(#(),x) -> x +(x,#()) -> x +(0(x),0(y)) -> 0(+(x,y)) +(0(x),1(y)) -> 1(+(x,y)) +(1(x),0(y)) -> 1(+(x,y)) +(0(x),j(y)) -> j(+(x,y)) +(j(x),0(y)) -> j(+(x,y)) +(1(x),1(y)) -> j(+(+(x,y),1(#()))) +(j(x),j(y)) -> 1(+(+(x,y),j(#()))) +(1(x),j(y)) -> 0(+(x,y)) +(j(x),1(y)) -> 0(+(x,y)) +(+(x,y),z) -> +(x,+(y,z)) opp(#()) -> #() opp(0(x)) -> 0(opp(x)) opp(1(x)) -> j(opp(x)) opp(j(x)) -> 1(opp(x)) -(x,y) -> +(x,opp(y)) *(#(),x) -> #() *(0(x),y) -> 0(*(x,y)) *(1(x),y) -> +(0(*(x,y)),y) *(j(x),y) -> -(0(*(x,y)),y) *(*(x,y),z) -> *(x,*(y,z)) TDG Processor: DPs: +#(0(x),0(y)) -> +#(x,y) +#(0(x),0(y)) -> 0#(+(x,y)) +#(0(x),1(y)) -> +#(x,y) +#(1(x),0(y)) -> +#(x,y) +#(0(x),j(y)) -> +#(x,y) +#(j(x),0(y)) -> +#(x,y)
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