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TRS Standard pair #487069872
details
property
value
status
complete
benchmark
Ex6_9_Luc02c_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n177.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.35358 seconds
cpu usage
4.20001
user time
3.43502
system time
0.764988
max virtual memory
1966264.0
max residence set size
71948.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: active(2nd(cons1(X,cons(Y,Z)))) -> mark(Y) active(2nd(cons(X,X1))) -> mark(2nd(cons1(X,X1))) active(from(X)) -> mark(cons(X,from(s(X)))) active(2nd(X)) -> 2nd(active(X)) active(cons(X1,X2)) -> cons(active(X1),X2) active(from(X)) -> from(active(X)) active(s(X)) -> s(active(X)) active(cons1(X1,X2)) -> cons1(active(X1),X2) active(cons1(X1,X2)) -> cons1(X1,active(X2)) 2nd(mark(X)) -> mark(2nd(X)) cons(mark(X1),X2) -> mark(cons(X1,X2)) from(mark(X)) -> mark(from(X)) s(mark(X)) -> mark(s(X)) cons1(mark(X1),X2) -> mark(cons1(X1,X2)) cons1(X1,mark(X2)) -> mark(cons1(X1,X2)) proper(2nd(X)) -> 2nd(proper(X)) proper(cons(X1,X2)) -> cons(proper(X1),proper(X2)) proper(from(X)) -> from(proper(X)) proper(s(X)) -> s(proper(X)) proper(cons1(X1,X2)) -> cons1(proper(X1),proper(X2)) 2nd(ok(X)) -> ok(2nd(X)) cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) from(ok(X)) -> ok(from(X)) s(ok(X)) -> ok(s(X)) cons1(ok(X1),ok(X2)) -> ok(cons1(X1,X2)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) Proof: Matrix Interpretation Processor: dim=1 interpretation: [mark](x0) = x0, [ok](x0) = 6x0 + 7, [cons1](x0, x1) = x0 + x1, [active](x0) = 5x0 + 4, [from](x0) = x0, [cons](x0, x1) = x0 + x1 + 1, [proper](x0) = x0, [top](x0) = x0 + 4, [s](x0) = 4x0 + 3, [2nd](x0) = 2x0 + 1 orientation: active(2nd(cons1(X,cons(Y,Z)))) = 10X + 10Y + 10Z + 19 >= Y = mark(Y) active(2nd(cons(X,X1))) = 10X + 10X1 + 19 >= 2X + 2X1 + 1 = mark(2nd(cons1(X,X1))) active(from(X)) = 5X + 4 >= 5X + 4 = mark(cons(X,from(s(X)))) active(2nd(X)) = 10X + 9 >= 10X + 9 = 2nd(active(X)) active(cons(X1,X2)) = 5X1 + 5X2 + 9 >= 5X1 + X2 + 5 = cons(active(X1),X2) active(from(X)) = 5X + 4 >= 5X + 4 = from(active(X)) active(s(X)) = 20X + 19 >= 20X + 19 = s(active(X)) active(cons1(X1,X2)) = 5X1 + 5X2 + 4 >= 5X1 + X2 + 4 = cons1(active(X1),X2) active(cons1(X1,X2)) = 5X1 + 5X2 + 4 >= X1 + 5X2 + 4 = cons1(X1,active(X2)) 2nd(mark(X)) = 2X + 1 >= 2X + 1 = mark(2nd(X)) cons(mark(X1),X2) = X1 + X2 + 1 >= X1 + X2 + 1 = mark(cons(X1,X2)) from(mark(X)) = X >= X = mark(from(X)) s(mark(X)) = 4X + 3 >= 4X + 3 = mark(s(X)) cons1(mark(X1),X2) = X1 + X2 >= X1 + X2 = mark(cons1(X1,X2)) cons1(X1,mark(X2)) = X1 + X2 >= X1 + X2 = mark(cons1(X1,X2)) proper(2nd(X)) = 2X + 1 >= 2X + 1 = 2nd(proper(X)) proper(cons(X1,X2)) = X1 + X2 + 1 >= X1 + X2 + 1 = cons(proper(X1),proper(X2)) proper(from(X)) = X >= X = from(proper(X)) proper(s(X)) = 4X + 3 >= 4X + 3 = s(proper(X)) proper(cons1(X1,X2)) = X1 + X2 >= X1 + X2 = cons1(proper(X1),proper(X2)) 2nd(ok(X)) = 12X + 15 >= 12X + 13 = ok(2nd(X)) cons(ok(X1),ok(X2)) = 6X1 + 6X2 + 15 >= 6X1 + 6X2 + 13 = ok(cons(X1,X2)) from(ok(X)) = 6X + 7 >= 6X + 7 = ok(from(X))
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