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TRS Stand 20472 pair #381711973
details
property
value
status
complete
benchmark
goodstein.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n042.star.cs.uiowa.edu
space
Hydras
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
18.0158929825 seconds
cpu usage
70.277467043
max memory
1.118695424E9
stage attributes
key
value
output-size
7545
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: l(o(x)) -> o(l(x)) a(l(x)) -> l(a(a(x))) o(x) -> a(l(x)) C(0(),x) -> o(x) a(C(C(x,y),z)) -> a(f(C(x,y),z)) a(f(0(),x)) -> x a(f(C(x,y),z)) -> h(a(f(x,y)),a(a(f(f(x,y),z)))) a(h(x,y)) -> h(a(x),a(a(C(x,y)))) h(x,y) -> o(y) a(f(x,y)) -> f(a(x),y) a(C(x,y)) -> C(a(x),a(y)) a(x) -> x o(x) -> x Proof: Embedding Processor: strict: l(o(x)) -> o(l(x)) a(l(x)) -> l(a(a(x))) o(x) -> a(l(x)) C(0(),x) -> o(x) a(C(C(x,y),z)) -> a(f(C(x,y),z)) a(f(0(),x)) -> x a(f(C(x,y),z)) -> h(a(f(x,y)),a(a(f(f(x,y),z)))) a(h(x,y)) -> h(a(x),a(a(C(x,y)))) h(x,y) -> o(y) a(f(x,y)) -> f(a(x),y) a(C(x,y)) -> C(a(x),a(y)) a(x) -> x o(x) -> x weak: l(x0) -> x0 o(x0) -> x0 a(x0) -> x0 C(x0,x1) -> x0 C(x0,x1) -> x1 f(x0,x1) -> x0 f(x0,x1) -> x1 h(x0,x1) -> x0 h(x0,x1) -> x1 Higher Ordinal Interpretation Processor: degree: 2 reverse arguments: false interpretation: l(x5) = (+) x5 o(x6) = (+) x6 (+) 1 a(x7) = (+) x7 C(x8,x9) = omega^( (+) x8) (+) x9 (+) 1 0() = (+) 1 f(x10,x11) = omega^( (+) x10) (+) x11 h(x12,x13) = x13 + omega^( (+) x12 (+) 1) problem: strict: l(o(x)) -> o(l(x)) a(l(x)) -> l(a(a(x))) a(f(C(x,y),z)) -> h(a(f(x,y)),a(a(f(f(x,y),z)))) a(h(x,y)) -> h(a(x),a(a(C(x,y)))) a(f(x,y)) -> f(a(x),y) a(C(x,y)) -> C(a(x),a(y)) a(x) -> x weak: l(x0) -> x0 a(x0) -> x0 f7(x12) -> h(x12,x13) Matrix Interpretation Processor: dim=2 interpretation: [1 0] [2] [f7](x0) = [1 2]x0 + [2], [0] [h](x0, x1) = [0], [0 1] [0 0] [2] [f](x0, x1) = [0 1]x0 + [0 2]x1 + [1], [0 0] [0 2] [3] [C](x0, x1) = [1 0]x0 + [1 0]x1 + [1], [a](x0) = x0, [1 1] [l](x0) = [0 2]x0, [0 0] [o](x0) = [0 1]x0 orientation: [0 1] [0 0] l(o(x)) = [0 2]x >= [0 2]x = o(l(x))
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