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TRS Standard pair #516963294
details
property
value
status
complete
benchmark
Ex6_Luc98_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n035.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
2.03191900253 seconds
cpu usage
6.351517935
max memory
4.06413312E8
stage attributes
key
value
output-size
21327
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: active(first(0(),X)) -> mark(nil()) active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(first(X1,X2)) -> first(active(X1),X2) active(first(X1,X2)) -> first(X1,active(X2)) active(s(X)) -> s(active(X)) active(cons(X1,X2)) -> cons(active(X1),X2) active(from(X)) -> from(active(X)) first(mark(X1),X2) -> mark(first(X1,X2)) first(X1,mark(X2)) -> mark(first(X1,X2)) s(mark(X)) -> mark(s(X)) cons(mark(X1),X2) -> mark(cons(X1,X2)) from(mark(X)) -> mark(from(X)) proper(first(X1,X2)) -> first(proper(X1),proper(X2)) proper(0()) -> ok(0()) proper(nil()) -> ok(nil()) proper(s(X)) -> s(proper(X)) proper(cons(X1,X2)) -> cons(proper(X1),proper(X2)) proper(from(X)) -> from(proper(X)) first(ok(X1),ok(X2)) -> ok(first(X1,X2)) s(ok(X)) -> ok(s(X)) cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) from(ok(X)) -> ok(from(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], [proper](x0) = x0 , [0] [first](x0, x1) = x0 + x1 + [0] [1], [0] [nil] = [0] [0], [s](x0) = x0 , [1 0 1] [top](x0) = [1 1 1]x0 [1 0 0] , [0] [0] = [0] [0], [1 1 0] [0] [from](x0) = [1 1 0]x0 + [0] [0 0 1] [1], [1 1 0] [ok](x0) = [1 1 0]x0 [0 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(first(0(),X)) = [1 1 0]X + [0] >= [0] = mark(nil()) [0 0 1] [1] [1] [1 1 0] [1 1 0] [1 1 0] [0] [1 0 0] [1 0 0] [0] active(first(s(X),cons(Y,Z))) = [1 1 0]X + [1 1 0]Y + [1 1 0]Z + [0] >= [0 1 0]X + Y + [0 1 0]Z + [0] = mark(cons(Y,first(X,Z))) [0 0 1] [0 0 1] [0 0 0] [1] [0 0 0] [0 0 0] [1] [2 2 0] [0] [2 1 0] [0] active(from(X)) = [2 2 0]X + [0] >= [1 2 0]X + [0] = mark(cons(X,from(s(X)))) [0 0 1] [1] [0 0 1] [1] [1 1 0] [1 1 0] [0] [1 1 0] [0] active(first(X1,X2)) = [1 1 0]X1 + [1 1 0]X2 + [0] >= [1 1 0]X1 + X2 + [0] = first(active(X1),X2) [0 0 1] [0 0 1] [1] [0 0 1] [1] [1 1 0] [1 1 0] [0] [1 1 0] [0]
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