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TRS Standard pair #516965794
details
property
value
status
complete
benchmark
hydra_touzet.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
Hydras
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
26.2173810005 seconds
cpu usage
103.126846481
max memory
1.351057408E9
stage attributes
key
value
output-size
14591
starexec-result
MAYBE
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- failure 'Failure("No result of SMT solver - maybe due to some flag of the solver? or the solver was not found in PATH?")' in subprocess 14696 YES Problem: o(x) -> a(l(x)) a(l(x)) -> l(a(a(x))) l(o(x)) -> o(l(x)) a(x) -> x H(0(),x) -> o(x) a(H(H(0(),y),z)) -> c1(y,z) a(H(H(H(0(),x),y),z)) -> c2(x,y,z) c2(x,y,z) -> o(H(y,z)) a(c1(x,y)) -> c1(x,H(x,y)) a(c2(x,y,z)) -> c2(x,H(x,y),z) c1(y,z) -> o(z) Proof: Embedding Processor: strict: o(x) -> a(l(x)) a(l(x)) -> l(a(a(x))) l(o(x)) -> o(l(x)) a(x) -> x H(0(),x) -> o(x) a(H(H(0(),y),z)) -> c1(y,z) a(H(H(H(0(),x),y),z)) -> c2(x,y,z) c2(x,y,z) -> o(H(y,z)) a(c1(x,y)) -> c1(x,H(x,y)) a(c2(x,y,z)) -> c2(x,H(x,y),z) c1(y,z) -> o(z) weak: o(x0) -> x0 a(x0) -> x0 l(x0) -> x0 H(x0,x1) -> x0 H(x0,x1) -> x1 c1(x0,x1) -> x0 c1(x0,x1) -> x1 c2(x0,x1,x2) -> x0 c2(x0,x1,x2) -> x1 c2(x0,x1,x2) -> x2 Higher Ordinal Interpretation Processor: degree: 3 reverse arguments: false interpretation: o(x6) = (+) x6 a(x7) = (+) x7 l(x8) = (+) x8 H(x9,x10) = omega^( (+) x9) (+) x10 (+) 1 0() = 0 c1(x11,x12) = x12 + omega^( (+) x11 (+) 1) c2(x13,x14,x15) = omega^(x14 + omega^(x13 (+) 1) (+) 1) (+) x15 problem: strict: o(x) -> a(l(x)) a(l(x)) -> l(a(a(x))) l(o(x)) -> o(l(x)) a(x) -> x a(c1(x,y)) -> c1(x,H(x,y)) a(c2(x,y,z)) -> c2(x,H(x,y),z) weak: o(x0) -> x0 a(x0) -> x0 l(x0) -> x0 f7(x11) -> c1(x11,x12) f8(x15) -> c2(x13,x14,x15) Matrix Interpretation Processor: dim=2 interpretation: [0] [H](x0, x1) = [0], [2 2] [2] [f8](x0) = [2 2]x0 + [2], [1 0] [l](x0) = [1 1]x0, [2] [c1](x0, x1) = [2], [2 0] [1] [o](x0) = [1 2]x0 + [0], [2 0] [2] [f7](x0) = [0 2]x0 + [3], [0 0] [0] [c2](x0, x1, x2) = [1 1]x2 + [1], [a](x0) = x0 orientation: [2 0] [1] [1 0]
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