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TRS Standard pair #487071022
details
property
value
status
complete
benchmark
PEANO_nosorts_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n185.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.77507 seconds
cpu usage
5.80265
user time
4.74462
system time
1.05803
max virtual memory
1966132.0
max residence set size
88604.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: active(and(tt(),X)) -> mark(X) active(plus(N,0())) -> mark(N) active(plus(N,s(M))) -> mark(s(plus(N,M))) active(and(X1,X2)) -> and(active(X1),X2) active(plus(X1,X2)) -> plus(active(X1),X2) active(plus(X1,X2)) -> plus(X1,active(X2)) active(s(X)) -> s(active(X)) and(mark(X1),X2) -> mark(and(X1,X2)) plus(mark(X1),X2) -> mark(plus(X1,X2)) plus(X1,mark(X2)) -> mark(plus(X1,X2)) s(mark(X)) -> mark(s(X)) proper(and(X1,X2)) -> and(proper(X1),proper(X2)) proper(tt()) -> ok(tt()) proper(plus(X1,X2)) -> plus(proper(X1),proper(X2)) proper(0()) -> ok(0()) proper(s(X)) -> s(proper(X)) and(ok(X1),ok(X2)) -> ok(and(X1,X2)) plus(ok(X1),ok(X2)) -> ok(plus(X1,X2)) s(ok(X)) -> ok(s(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) Proof: Matrix Interpretation Processor: dim=1 interpretation: [0] = 0, [ok](x0) = x0, [and](x0, x1) = 2x0 + 2x1 + 5, [mark](x0) = x0, [plus](x0, x1) = 4x0 + x1, [tt] = 0, [proper](x0) = x0, [top](x0) = x0, [s](x0) = x0 + 2, [active](x0) = x0 orientation: active(and(tt(),X)) = 2X + 5 >= X = mark(X) active(plus(N,0())) = 4N >= N = mark(N) active(plus(N,s(M))) = M + 4N + 2 >= M + 4N + 2 = mark(s(plus(N,M))) active(and(X1,X2)) = 2X1 + 2X2 + 5 >= 2X1 + 2X2 + 5 = and(active(X1),X2) active(plus(X1,X2)) = 4X1 + X2 >= 4X1 + X2 = plus(active(X1),X2) active(plus(X1,X2)) = 4X1 + X2 >= 4X1 + X2 = plus(X1,active(X2)) active(s(X)) = X + 2 >= X + 2 = s(active(X)) and(mark(X1),X2) = 2X1 + 2X2 + 5 >= 2X1 + 2X2 + 5 = mark(and(X1,X2)) plus(mark(X1),X2) = 4X1 + X2 >= 4X1 + X2 = mark(plus(X1,X2)) plus(X1,mark(X2)) = 4X1 + X2 >= 4X1 + X2 = mark(plus(X1,X2)) s(mark(X)) = X + 2 >= X + 2 = mark(s(X)) proper(and(X1,X2)) = 2X1 + 2X2 + 5 >= 2X1 + 2X2 + 5 = and(proper(X1),proper(X2)) proper(tt()) = 0 >= 0 = ok(tt()) proper(plus(X1,X2)) = 4X1 + X2 >= 4X1 + X2 = plus(proper(X1),proper(X2)) proper(0()) = 0 >= 0 = ok(0()) proper(s(X)) = X + 2 >= X + 2 = s(proper(X)) and(ok(X1),ok(X2)) = 2X1 + 2X2 + 5 >= 2X1 + 2X2 + 5 = ok(and(X1,X2)) plus(ok(X1),ok(X2)) = 4X1 + X2 >= 4X1 + X2 = ok(plus(X1,X2)) s(ok(X)) = X + 2 >= X + 2 = ok(s(X)) top(mark(X)) = X >= X = top(proper(X)) top(ok(X)) = X >= X = top(active(X)) problem: active(plus(N,0())) -> mark(N) active(plus(N,s(M))) -> mark(s(plus(N,M))) active(and(X1,X2)) -> and(active(X1),X2) active(plus(X1,X2)) -> plus(active(X1),X2) active(plus(X1,X2)) -> plus(X1,active(X2)) active(s(X)) -> s(active(X)) and(mark(X1),X2) -> mark(and(X1,X2)) plus(mark(X1),X2) -> mark(plus(X1,X2)) plus(X1,mark(X2)) -> mark(plus(X1,X2))
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