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TRS Standard pair #487070657
details
property
value
status
complete
benchmark
Ex2_Luc03b_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n178.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
4.63239 seconds
cpu usage
16.0533
user time
14.2233
system time
1.82995
max virtual memory
2068112.0
max residence set size
187004.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) active(cons(X1,X2)) -> cons(active(X1),X2) active(fst(X1,X2)) -> fst(active(X1),X2) active(fst(X1,X2)) -> fst(X1,active(X2)) active(from(X)) -> from(active(X)) active(add(X1,X2)) -> add(active(X1),X2) active(add(X1,X2)) -> add(X1,active(X2)) active(len(X)) -> len(active(X)) cons(mark(X1),X2) -> mark(cons(X1,X2)) fst(mark(X1),X2) -> mark(fst(X1,X2)) fst(X1,mark(X2)) -> mark(fst(X1,X2)) from(mark(X)) -> mark(from(X)) add(mark(X1),X2) -> mark(add(X1,X2)) add(X1,mark(X2)) -> mark(add(X1,X2)) len(mark(X)) -> mark(len(X)) proper(0()) -> ok(0()) proper(s(X)) -> s(proper(X)) proper(nil()) -> ok(nil()) proper(cons(X1,X2)) -> cons(proper(X1),proper(X2)) proper(fst(X1,X2)) -> fst(proper(X1),proper(X2)) proper(from(X)) -> from(proper(X)) proper(add(X1,X2)) -> add(proper(X1),proper(X2)) proper(len(X)) -> len(proper(X)) s(ok(X)) -> ok(s(X)) cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) fst(ok(X1),ok(X2)) -> ok(fst(X1,X2)) from(ok(X)) -> ok(from(X)) add(ok(X1),ok(X2)) -> ok(add(X1,X2)) len(ok(X)) -> ok(len(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) Proof: Matrix Interpretation Processor: dim=3 interpretation: [0] [mark](x0) = x0 + [0] [1], [0] [add](x0, x1) = x0 + x1 + [0] [1], [0] [fst](x0, x1) = x0 + x1 + [0] [1], [0] [nil] = [0] [0], [1 0 0] [s](x0) = [0 1 0]x0 [0 0 0] , [proper](x0) = x0 , [0] [0] = [0] [0], [1 1 0] [0] [from](x0) = [1 1 0]x0 + [0] [0 0 1] [1], [1 0 1] [top](x0) = [0 1 0]x0 [0 0 0] , [1 1 0] [ok](x0) = [1 1 0]x0 [0 0 1] , [0] [len](x0) = x0 + [0] [1], [1 0 0] [cons](x0, x1) = x0 + [0 1 0]x1 [0 0 0] , [1 1 0] [active](x0) = [1 1 0]x0 [0 0 1] orientation: [1 1 0] [0] [0] active(fst(0(),Z)) = [1 1 0]Z + [0] >= [0] = mark(nil()) [0 0 1] [1] [1]
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