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TRS Standard pair #487069592
details
property
value
status
complete
benchmark
Ex3_3_25_Bor03_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n191.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
15.5013 seconds
cpu usage
72.4441
user time
70.1027
system time
2.34147
max virtual memory
2628860.0
max residence set size
467208.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) active(app(X1,X2)) -> app(active(X1),X2) active(app(X1,X2)) -> app(X1,active(X2)) active(cons(X1,X2)) -> cons(active(X1),X2) active(from(X)) -> from(active(X)) active(s(X)) -> s(active(X)) active(zWadr(X1,X2)) -> zWadr(active(X1),X2) active(zWadr(X1,X2)) -> zWadr(X1,active(X2)) active(prefix(X)) -> prefix(active(X)) app(mark(X1),X2) -> mark(app(X1,X2)) app(X1,mark(X2)) -> mark(app(X1,X2)) cons(mark(X1),X2) -> mark(cons(X1,X2)) from(mark(X)) -> mark(from(X)) s(mark(X)) -> mark(s(X)) zWadr(mark(X1),X2) -> mark(zWadr(X1,X2)) zWadr(X1,mark(X2)) -> mark(zWadr(X1,X2)) prefix(mark(X)) -> mark(prefix(X)) proper(app(X1,X2)) -> app(proper(X1),proper(X2)) proper(nil()) -> ok(nil()) proper(cons(X1,X2)) -> cons(proper(X1),proper(X2)) proper(from(X)) -> from(proper(X)) proper(s(X)) -> s(proper(X)) proper(zWadr(X1,X2)) -> zWadr(proper(X1),proper(X2)) proper(prefix(X)) -> prefix(proper(X)) app(ok(X1),ok(X2)) -> ok(app(X1,X2)) cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) from(ok(X)) -> ok(from(X)) s(ok(X)) -> ok(s(X)) zWadr(ok(X1),ok(X2)) -> ok(zWadr(X1,X2)) prefix(ok(X)) -> ok(prefix(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) Proof: Matrix Interpretation Processor: dim=2 interpretation: [1 0] [cons](x0, x1) = x0 + [0 0]x1, [2 0] [0] [prefix](x0) = [0 1]x0 + [1], [0] [app](x0, x1) = x0 + x1 + [1], [0] [mark](x0) = x0 + [1], [2 0] [0] [from](x0) = [0 3]x0 + [1], [3 0] [ok](x0) = [0 1]x0, [0] [nil] = [0], [2 0] [2 0] [0] [zWadr](x0, x1) = [0 1]x0 + [0 1]x1 + [2], [1 1] [0] [top](x0) = [2 0]x0 + [1], [proper](x0) = x0, [1 0] [s](x0) = [0 2]x0, [3 0] [active](x0) = [0 1]x0 orientation: [3 0] [0] [0] active(app(nil(),YS)) = [0 1]YS + [1] >= YS + [1] = mark(YS) [3 0] [3 0] [3 0] [0] [1 0] [1 0] [0] active(app(cons(X,XS),YS)) = [0 1]X + [0 0]XS + [0 1]YS + [1] >= X + [0 0]XS + [0 0]YS + [1] = mark(cons(X,app(XS,YS))) [6 0] [0] [3 0] [0] active(from(X)) = [0 3]X + [1] >= [0 1]X + [1] = mark(cons(X,from(s(X)))) [6 0] [0] [0] active(zWadr(nil(),YS)) = [0 1]YS + [2] >= [1] = mark(nil()) [6 0] [0] [0] active(zWadr(XS,nil())) = [0 1]XS + [2] >= [1] = mark(nil()) [6 0] [6 0] [6 0] [6 0] [0] [2 0] [2 0] [0] active(zWadr(cons(X,XS),cons(Y,YS))) = [0 1]X + [0 0]XS + [0 1]Y + [0 0]YS + [2] >= X + [0 0]XS + Y + [0 0]YS + [2] = mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS)))
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