Integer_Transition_Systems 2019-03-29 01.54 pair #432273768

details

property	value
status	complete
benchmark	TimesPlusUserDef.jar-obl-9.smt2
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n048.star.cs.uiowa.edu
space	From_AProVE_2014

run statistics

property	value
solver	Ctrl
configuration	Transition
runtime (wallclock)	0.898419 seconds
cpu usage	0.894484
user time	0.465342
system time	0.429142
max virtual memory	125640.0
max residence set size	8508.0

stage attributes

key	value
starexec-result	YES

output

0.86/0.89	YES
0.86/0.89	
0.86/0.89	DP problem for innermost termination.
0.86/0.89	P =
0.86/0.89	  init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) 
0.86/0.89	  f5#(I0, I1, I2) -> f5#(I0 - 1, I1, I3) [0 <= I0 - 1 /\ I0 - 1 <= I0 - 1 /\ I1 <= 0]
0.86/0.89	  f5#(I4, I5, I6) -> f5#(I4, I5 - 1, I7) [I5 - 1 <= I5 - 1 /\ 0 <= I5 - 1]
0.86/0.89	  f3#(I8, I9, I10) -> f5#(I9, I10, I11) [0 <= I8 - 1]
0.86/0.89	  f4#(I12, I13, I14) -> f3#(I12, I14, I13) 
0.86/0.89	  f2#(I15, I16, I17) -> f3#(I16, I18, 0) [0 = I15 /\ I16 - 1 <= I16 - 1 /\ 0 <= I16 - 1]
0.86/0.89	  f2#(I19, I20, I21) -> f3#(I20, I22, I19) [I20 - 1 <= I20 - 1 /\ 0 <= I20 - 1]
0.86/0.89	  f2#(I23, I24, I25) -> f3#(I24, 0, 0) [0 = I23 /\ I24 - 1 <= I24 - 1 /\ 0 <= I24 - 1]
0.86/0.89	  f2#(I26, I27, I28) -> f3#(1, 0, I26) [1 = I27]
0.86/0.89	  f2#(I29, I30, I31) -> f2#(I29, I30 - 1, I32) [I30 - 1 <= I30 - 1 /\ 0 <= I30 - 1]
0.86/0.89	  f1#(I33, I34, I35) -> f2#(I36, I37, I38) [0 <= I33 - 1 /\ -1 <= I36 - 1 /\ 1 <= I34 - 1 /\ -1 <= I37 - 1]
0.86/0.89	R = 
0.86/0.89	  init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) 
0.86/0.89	  f5(I0, I1, I2) -> f5(I0 - 1, I1, I3) [0 <= I0 - 1 /\ I0 - 1 <= I0 - 1 /\ I1 <= 0]
0.86/0.89	  f5(I4, I5, I6) -> f5(I4, I5 - 1, I7) [I5 - 1 <= I5 - 1 /\ 0 <= I5 - 1]
0.86/0.89	  f3(I8, I9, I10) -> f5(I9, I10, I11) [0 <= I8 - 1]
0.86/0.89	  f4(I12, I13, I14) -> f3(I12, I14, I13) 
0.86/0.89	  f2(I15, I16, I17) -> f3(I16, I18, 0) [0 = I15 /\ I16 - 1 <= I16 - 1 /\ 0 <= I16 - 1]
0.86/0.89	  f2(I19, I20, I21) -> f3(I20, I22, I19) [I20 - 1 <= I20 - 1 /\ 0 <= I20 - 1]
0.86/0.89	  f2(I23, I24, I25) -> f3(I24, 0, 0) [0 = I23 /\ I24 - 1 <= I24 - 1 /\ 0 <= I24 - 1]
0.86/0.89	  f2(I26, I27, I28) -> f3(1, 0, I26) [1 = I27]
0.86/0.89	  f2(I29, I30, I31) -> f2(I29, I30 - 1, I32) [I30 - 1 <= I30 - 1 /\ 0 <= I30 - 1]
0.86/0.89	  f1(I33, I34, I35) -> f2(I36, I37, I38) [0 <= I33 - 1 /\ -1 <= I36 - 1 /\ 1 <= I34 - 1 /\ -1 <= I37 - 1]
0.86/0.89	
0.86/0.89	The dependency graph for this problem is:
0.86/0.89	  0 -> 10
0.86/0.89	  1 -> 1
0.86/0.89	  2 -> 1, 2
0.86/0.89	  3 -> 1, 2
0.86/0.89	  4 -> 3
0.86/0.89	  5 -> 3
0.86/0.89	  6 -> 3
0.86/0.89	  7 -> 3
0.86/0.89	  8 -> 3
0.86/0.89	  9 -> 5, 6, 7, 8, 9
0.86/0.89	  10 -> 5, 6, 7, 8, 9
0.86/0.89	Where:
0.86/0.89	  0) init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) 
0.86/0.89	  1) f5#(I0, I1, I2) -> f5#(I0 - 1, I1, I3) [0 <= I0 - 1 /\ I0 - 1 <= I0 - 1 /\ I1 <= 0]
0.86/0.89	  2) f5#(I4, I5, I6) -> f5#(I4, I5 - 1, I7) [I5 - 1 <= I5 - 1 /\ 0 <= I5 - 1]
0.86/0.89	  3) f3#(I8, I9, I10) -> f5#(I9, I10, I11) [0 <= I8 - 1]
0.86/0.89	  4) f4#(I12, I13, I14) -> f3#(I12, I14, I13) 
0.86/0.89	  5) f2#(I15, I16, I17) -> f3#(I16, I18, 0) [0 = I15 /\ I16 - 1 <= I16 - 1 /\ 0 <= I16 - 1]
0.86/0.89	  6) f2#(I19, I20, I21) -> f3#(I20, I22, I19) [I20 - 1 <= I20 - 1 /\ 0 <= I20 - 1]
0.86/0.89	  7) f2#(I23, I24, I25) -> f3#(I24, 0, 0) [0 = I23 /\ I24 - 1 <= I24 - 1 /\ 0 <= I24 - 1]
0.86/0.89	  8) f2#(I26, I27, I28) -> f3#(1, 0, I26) [1 = I27]
0.86/0.89	  9) f2#(I29, I30, I31) -> f2#(I29, I30 - 1, I32) [I30 - 1 <= I30 - 1 /\ 0 <= I30 - 1]
0.86/0.89	  10) f1#(I33, I34, I35) -> f2#(I36, I37, I38) [0 <= I33 - 1 /\ -1 <= I36 - 1 /\ 1 <= I34 - 1 /\ -1 <= I37 - 1]
0.86/0.89	
0.86/0.89	We have the following SCCs.
0.86/0.89	  { 9 }
0.86/0.89	  { 2 }
0.86/0.89	  { 1 }
0.86/0.89	
0.86/0.89	DP problem for innermost termination.
0.86/0.89	P =
0.86/0.89	  f5#(I0, I1, I2) -> f5#(I0 - 1, I1, I3) [0 <= I0 - 1 /\ I0 - 1 <= I0 - 1 /\ I1 <= 0]
0.86/0.89	R = 
0.86/0.89	  init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) 
0.86/0.89	  f5(I0, I1, I2) -> f5(I0 - 1, I1, I3) [0 <= I0 - 1 /\ I0 - 1 <= I0 - 1 /\ I1 <= 0]
0.86/0.89	  f5(I4, I5, I6) -> f5(I4, I5 - 1, I7) [I5 - 1 <= I5 - 1 /\ 0 <= I5 - 1]
0.86/0.89	  f3(I8, I9, I10) -> f5(I9, I10, I11) [0 <= I8 - 1]
0.86/0.89	  f4(I12, I13, I14) -> f3(I12, I14, I13) 
0.86/0.89	  f2(I15, I16, I17) -> f3(I16, I18, 0) [0 = I15 /\ I16 - 1 <= I16 - 1 /\ 0 <= I16 - 1]
0.86/0.89	  f2(I19, I20, I21) -> f3(I20, I22, I19) [I20 - 1 <= I20 - 1 /\ 0 <= I20 - 1]
0.86/0.89	  f2(I23, I24, I25) -> f3(I24, 0, 0) [0 = I23 /\ I24 - 1 <= I24 - 1 /\ 0 <= I24 - 1]
0.86/0.89	  f2(I26, I27, I28) -> f3(1, 0, I26) [1 = I27]
0.86/0.89	  f2(I29, I30, I31) -> f2(I29, I30 - 1, I32) [I30 - 1 <= I30 - 1 /\ 0 <= I30 - 1]
0.86/0.89	  f1(I33, I34, I35) -> f2(I36, I37, I38) [0 <= I33 - 1 /\ -1 <= I36 - 1 /\ 1 <= I34 - 1 /\ -1 <= I37 - 1]
0.86/0.89	
0.86/0.89	We use the basic value criterion with the projection function NU:
0.86/0.89	  NU[f5#(z1,z2,z3)] = z1
0.86/0.89	
0.86/0.89	This gives the following inequalities:
0.86/0.89	  0 <= I0 - 1 /\ I0 - 1 <= I0 - 1 /\ I1 <= 0  ==>  I0 >! I0 - 1
0.86/0.89	
0.86/0.89	All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed.
0.86/0.89	
0.86/0.89	DP problem for innermost termination.
0.86/0.89	P =
0.86/0.89	  f5#(I4, I5, I6) -> f5#(I4, I5 - 1, I7) [I5 - 1 <= I5 - 1 /\ 0 <= I5 - 1]
0.86/0.89	R = 
0.86/0.89	  init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) 
0.86/0.89	  f5(I0, I1, I2) -> f5(I0 - 1, I1, I3) [0 <= I0 - 1 /\ I0 - 1 <= I0 - 1 /\ I1 <= 0]
0.86/0.89	  f5(I4, I5, I6) -> f5(I4, I5 - 1, I7) [I5 - 1 <= I5 - 1 /\ 0 <= I5 - 1]
0.86/0.89	  f3(I8, I9, I10) -> f5(I9, I10, I11) [0 <= I8 - 1]
0.86/0.89	  f4(I12, I13, I14) -> f3(I12, I14, I13) 
0.86/0.89	  f2(I15, I16, I17) -> f3(I16, I18, 0) [0 = I15 /\ I16 - 1 <= I16 - 1 /\ 0 <= I16 - 1]
0.86/0.89	  f2(I19, I20, I21) -> f3(I20, I22, I19) [I20 - 1 <= I20 - 1 /\ 0 <= I20 - 1]
0.86/0.89	  f2(I23, I24, I25) -> f3(I24, 0, 0) [0 = I23 /\ I24 - 1 <= I24 - 1 /\ 0 <= I24 - 1]
0.86/0.89	  f2(I26, I27, I28) -> f3(1, 0, I26) [1 = I27]
0.86/0.89	  f2(I29, I30, I31) -> f2(I29, I30 - 1, I32) [I30 - 1 <= I30 - 1 /\ 0 <= I30 - 1]
0.86/0.89	  f1(I33, I34, I35) -> f2(I36, I37, I38) [0 <= I33 - 1 /\ -1 <= I36 - 1 /\ 1 <= I34 - 1 /\ -1 <= I37 - 1]
0.86/0.89	
0.86/0.89	We use the basic value criterion with the projection function NU:
0.86/0.89	  NU[f5#(z1,z2,z3)] = z2

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