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TRS Relat 75837 pair #381724868
details
property
value
status
complete
benchmark
carbridge.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n105.star.cs.uiowa.edu
space
Mixed_relative_TRS
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
5.70514202118 seconds
cpu usage
21.51264109
max memory
1.279614976E9
stage attributes
key
value
output-size
8725
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: strict: top(left(car(x,y),car(old(),z))) -> top(right(y,car(old(),z))) top(left(car(x,car(old(),y)),z)) -> top(right(car(old(),y),z)) top(right(x,car(y,car(old(),z)))) -> top(left(x,car(old(),z))) top(right(car(old(),x),car(y,z))) -> top(left(car(old(),x),z)) top(left(bot(),car(old(),x))) -> top(right(bot(),car(old(),x))) top(right(car(old(),x),bot())) -> top(left(car(old(),x),bot())) weak: top(left(car(x,y),z)) -> top(left(y,z)) top(right(x,car(y,z))) -> top(right(x,z)) bot() -> car(new(),bot()) Proof: Matrix Interpretation Processor: dim=2 interpretation: [0] [new] = [0], [0] [bot] = [0], [1 0] [1 0] [right](x0, x1) = [0 0]x0 + [0 0]x1, [1 0] [top](x0) = [1 0]x0, [1 0] [1 0] [left](x0, x1) = [0 0]x0 + [0 0]x1, [0] [old] = [1], [1 0] [1 1] [car](x0, x1) = [0 2]x0 + [0 0]x1 orientation: [1 0] [1 1] [1 1] [1 0] [1 1] top(left(car(x,y),car(old(),z))) = [1 0]x + [1 1]y + [1 1]z >= [1 0]y + [1 1]z = top(right(y,car(old(),z))) [1 0] [1 1] [1 0] [2] [1 1] [1 0] top(left(car(x,car(old(),y)),z)) = [1 0]x + [1 1]y + [1 0]z + [2] >= [1 1]y + [1 0]z = top(right(car(old(),y),z)) [1 0] [1 0] [1 1] [2] [1 0] [1 1] top(right(x,car(y,car(old(),z)))) = [1 0]x + [1 0]y + [1 1]z + [2] >= [1 0]x + [1 1]z = top(left(x,car(old(),z))) [1 1] [1 0] [1 1] [1 1] [1 0] top(right(car(old(),x),car(y,z))) = [1 1]x + [1 0]y + [1 1]z >= [1 1]x + [1 0]z = top(left(car(old(),x),z)) [1 1] [1 1] top(left(bot(),car(old(),x))) = [1 1]x >= [1 1]x = top(right(bot(),car(old(),x))) [1 1] [1 1] top(right(car(old(),x),bot())) = [1 1]x >= [1 1]x = top(left(car(old(),x),bot())) [1 0] [1 1] [1 0] [1 0] [1 0] top(left(car(x,y),z)) = [1 0]x + [1 1]y + [1 0]z >= [1 0]y + [1 0]z = top(left(y,z)) [1 0] [1 0] [1 1] [1 0] [1 0] top(right(x,car(y,z))) = [1 0]x + [1 0]y + [1 1]z >= [1 0]x + [1 0]z = top(right(x,z)) [0] [0] bot() = [0] >= [0] = car(new(),bot()) problem: strict: top(left(car(x,y),car(old(),z))) -> top(right(y,car(old(),z))) top(right(car(old(),x),car(y,z))) -> top(left(car(old(),x),z)) top(left(bot(),car(old(),x))) -> top(right(bot(),car(old(),x))) top(right(car(old(),x),bot())) -> top(left(car(old(),x),bot())) weak: top(left(car(x,y),z)) -> top(left(y,z)) top(right(x,car(y,z))) -> top(right(x,z)) bot() -> car(new(),bot()) Matrix Interpretation Processor: dim=2 interpretation: [0] [new] = [0], [0] [bot] = [0], [1 0] [3 0] [right](x0, x1) = [1 0]x0 + [0 0]x1, [1 2] [top](x0) = [0 3]x0, [2 1] [1] [left](x0, x1) = x0 + [0 0]x1 + [0],
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