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TRS Stand 20472 pair #381713089
details
property
value
status
complete
benchmark
z29.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n055.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
1.74226593971 seconds
cpu usage
5.631775077
max memory
6.80636416E8
stage attributes
key
value
output-size
5021
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: a(lambda(x),y) -> lambda(a(x,1())) a(lambda(x),y) -> lambda(a(x,a(y,t()))) a(a(x,y),z) -> a(x,a(y,z)) lambda(x) -> x a(x,y) -> x a(x,y) -> y Proof: Matrix Interpretation Processor: dim=3 interpretation: [0] [t] = [0] [0], [0] [1] = [0] [0], [a](x0, x1) = x0 + x1 , [1] [lambda](x0) = x0 + [0] [0] orientation: [1] [1] a(lambda(x),y) = x + y + [0] >= x + [0] = lambda(a(x,1())) [0] [0] [1] [1] a(lambda(x),y) = x + y + [0] >= x + y + [0] = lambda(a(x,a(y,t()))) [0] [0] a(a(x,y),z) = x + y + z >= x + y + z = a(x,a(y,z)) [1] lambda(x) = x + [0] >= x = x [0] a(x,y) = x + y >= x = x a(x,y) = x + y >= y = y problem: a(lambda(x),y) -> lambda(a(x,1())) a(lambda(x),y) -> lambda(a(x,a(y,t()))) a(a(x,y),z) -> a(x,a(y,z)) a(x,y) -> x a(x,y) -> y DP Processor: DPs: a#(lambda(x),y) -> a#(x,1()) a#(lambda(x),y) -> a#(y,t()) a#(lambda(x),y) -> a#(x,a(y,t())) a#(a(x,y),z) -> a#(y,z) a#(a(x,y),z) -> a#(x,a(y,z)) TRS: a(lambda(x),y) -> lambda(a(x,1())) a(lambda(x),y) -> lambda(a(x,a(y,t()))) a(a(x,y),z) -> a(x,a(y,z)) a(x,y) -> x a(x,y) -> y Matrix Interpretation Processor: dim=3 usable rules: a(lambda(x),y) -> lambda(a(x,1())) a(lambda(x),y) -> lambda(a(x,a(y,t()))) a(a(x,y),z) -> a(x,a(y,z)) a(x,y) -> x a(x,y) -> y interpretation: [a#](x0, x1) = [0 1 0]x0 + [0 1 0]x1, [1] [t] = [0] [0], [0] [1] = [0] [0], [1] [a](x0, x1) = x0 + x1 + [0] [0],
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