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TRS Stand 20472 pair #381713078
details
property
value
status
complete
benchmark
#3.17.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n003.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
1.03629302979 seconds
cpu usage
2.071398678
max memory
2.45317632E8
stage attributes
key
value
output-size
4598
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: app(nil(),k) -> k app(l,nil()) -> l app(cons(x,l),k) -> cons(x,app(l,k)) sum(cons(x,nil())) -> cons(x,nil()) sum(cons(x,cons(y,l))) -> sum(cons(plus(x,y),l)) sum(app(l,cons(x,cons(y,k)))) -> sum(app(l,sum(cons(x,cons(y,k))))) plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) Proof: Matrix Interpretation Processor: dim=1 interpretation: [s](x0) = x0, [0] = 1, [plus](x0, x1) = x0 + x1, [sum](x0) = x0, [cons](x0, x1) = x0 + x1 + 3, [app](x0, x1) = 6x0 + x1, [nil] = 0 orientation: app(nil(),k) = k >= k = k app(l,nil()) = 6l >= l = l app(cons(x,l),k) = k + 6l + 6x + 18 >= k + 6l + x + 3 = cons(x,app(l,k)) sum(cons(x,nil())) = x + 3 >= x + 3 = cons(x,nil()) sum(cons(x,cons(y,l))) = l + x + y + 6 >= l + x + y + 3 = sum(cons(plus(x,y),l)) sum(app(l,cons(x,cons(y,k)))) = k + 6l + x + y + 6 >= k + 6l + x + y + 6 = sum(app(l,sum(cons(x,cons(y,k))))) plus(0(),y) = y + 1 >= y = y plus(s(x),y) = x + y >= x + y = s(plus(x,y)) problem: app(nil(),k) -> k app(l,nil()) -> l sum(cons(x,nil())) -> cons(x,nil()) sum(app(l,cons(x,cons(y,k)))) -> sum(app(l,sum(cons(x,cons(y,k))))) plus(s(x),y) -> s(plus(x,y)) Matrix Interpretation Processor: dim=1 interpretation: [s](x0) = x0 + 3, [plus](x0, x1) = 2x0 + x1 + 1, [sum](x0) = x0, [cons](x0, x1) = 2x0 + 2x1, [app](x0, x1) = 2x0 + 4x1, [nil] = 1 orientation: app(nil(),k) = 4k + 2 >= k = k app(l,nil()) = 2l + 4 >= l = l sum(cons(x,nil())) = 2x + 2 >= 2x + 2 = cons(x,nil()) sum(app(l,cons(x,cons(y,k)))) = 16k + 2l + 8x + 16y >= 16k + 2l + 8x + 16y = sum(app(l,sum(cons(x,cons(y,k))))) plus(s(x),y) = 2x + y + 7 >= 2x + y + 4 = s(plus(x,y)) problem: sum(cons(x,nil())) -> cons(x,nil()) sum(app(l,cons(x,cons(y,k)))) -> sum(app(l,sum(cons(x,cons(y,k))))) Matrix Interpretation Processor: dim=3 interpretation: [1 1 0] [0] [sum](x0) = [0 0 0]x0 + [1] [1 0 0] [1], [1 1 0] [1 1 0] [cons](x0, x1) = [0 0 0]x0 + [0 0 1]x1 [0 0 0] [0 0 0] , [1 0 0] [1 0 0] [0] [app](x0, x1) = [0 0 0]x0 + [0 0 0]x1 + [1] [0 0 0] [0 1 0] [0], [0]
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