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TRS Stand 20472 pair #381712600
details
property
value
status
complete
benchmark
log2.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n097.star.cs.uiowa.edu
space
CiME_04
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
5.20303201675 seconds
cpu usage
18.031939957
max memory
5.8181632E8
stage attributes
key
value
output-size
29068
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: 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(true()) -> false() not(false()) -> true() 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(#(),0(x)) -> ge(#(),x) ge(#(),1(x)) -> false() log(x) -> -(log'(x),1(#())) log'(#()) -> #() log'(1(x)) -> +(log'(x),1(#())) log'(0(x)) -> if(ge(x,1(#())),+(log'(x),1(#())),#()) Proof: Matrix Interpretation Processor: dim=1 interpretation: [log'](x0) = x0 + 7, [log](x0) = x0 + 7, [ge](x0, x1) = x0 + x1, [if](x0, x1, x2) = 3x0 + x1 + x2, [false] = 0, [not](x0) = 4x0, [true] = 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)) +(0(x),1(y)) = 4x + 4y >= 4x + 4y = 1(+(x,y)) +(1(x),0(y)) = 4x + 4y >= 4x + 4y = 1(+(x,y)) +(1(x),1(y)) = 4x + 4y >= 4x + 4y = 0(+(+(x,y),1(#()))) +(+(x,y),z) = x + y + z >= x + y + z = +(x,+(y,z)) -(#(),x) = 2x >= 0 = #() -(x,#()) = x >= x = x -(0(x),0(y)) = 4x + 8y >= 4x + 8y = 0(-(x,y)) -(0(x),1(y)) = 4x + 8y >= 4x + 8y = 1(-(-(x,y),1(#()))) -(1(x),0(y)) = 4x + 8y >= 4x + 8y = 1(-(x,y)) -(1(x),1(y)) = 4x + 8y >= 4x + 8y = 0(-(x,y)) not(true()) = 0 >= 0 = false() not(false()) = 0 >= 0 = true() if(true(),x,y) = x + y >= x = x
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