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TRS Stand 20472 pair #381709864
details
property
value
status
complete
benchmark
tree.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n003.star.cs.uiowa.edu
space
CiME_04
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
4.26458501816 seconds
cpu usage
14.417375817
max memory
4.62856192E8
stage attributes
key
value
output-size
27228
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)) +(1(x),1(y)) -> 0(+(+(x,y),1(#()))) +(x,+(y,z)) -> +(+(x,y),z) -(x,#()) -> x -(#(),x) -> #() -(0(x),0(y)) -> 0(-(x,y)) -(0(x),1(y)) -> 1(-(-(x,y),1(#()))) -(1(x),0(y)) -> 1(-(x,y)) -(1(x),1(y)) -> 0(-(x,y)) not(false()) -> true() not(true()) -> false() and(x,true()) -> x and(x,false()) -> false() if(true(),x,y) -> x if(false(),x,y) -> y ge(0(x),0(y)) -> ge(x,y) ge(0(x),1(y)) -> not(ge(y,x)) ge(1(x),0(y)) -> ge(x,y) ge(1(x),1(y)) -> ge(x,y) ge(x,#()) -> true() ge(#(),1(x)) -> false() ge(#(),0(x)) -> ge(#(),x) val(l(x)) -> x val(n(x,y,z)) -> x min(l(x)) -> x min(n(x,y,z)) -> min(y) max(l(x)) -> x max(n(x,y,z)) -> max(z) bs(l(x)) -> true() bs(n(x,y,z)) -> and(and(ge(x,max(y)),ge(min(z),x)),and(bs(y),bs(z))) size(l(x)) -> 1(#()) size(n(x,y,z)) -> +(+(size(x),size(y)),1(#())) wb(l(x)) -> true() wb(n(x,y,z)) -> and(if(ge(size(y),size(z)),ge(1(#()),-(size(y),size(z))),ge(1(#()),-(size(z),size(y)))), and(wb(y),wb(z))) Proof: Matrix Interpretation Processor: dim=1 interpretation: [wb](x0) = 6x0, [size](x0) = x0, [bs](x0) = 4x0 + 3, [max](x0) = 2x0, [min](x0) = 4x0, [n](x0, x1, x2) = 2x0 + 5x1 + 5x2 + 4, [val](x0) = 2x0, [l](x0) = 4x0 + 3, [ge](x0, x1) = 4x0 + 4x1, [if](x0, x1, x2) = x0 + 2x1 + x2 + 1, [and](x0, x1) = x0 + x1 + 2, [true] = 0, [not](x0) = 4x0, [false] = 0, [-](x0, x1) = x0 + 2x1, [1](x0) = 4x0, [+](x0, x1) = x0 + x1, [0](x0) = 4x0, [#] = 0 orientation: 0(#()) = 0 >= 0 = #() +(x,#()) = x >= x = x +(#(),x) = x >= x = x +(0(x),0(y)) = 4x + 4y >= 4x + 4y = 0(+(x,y))
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