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Integer_Transition_Systems 2019-03-29 01.54 pair #432276087
details
property
value
status
complete
benchmark
ex26.t2_fixed.smt2
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n090.star.cs.uiowa.edu
space
From_T2
run statistics
property
value
solver
Ctrl
configuration
Transition
runtime (wallclock)
18.169 seconds
cpu usage
18.4746
user time
9.46716
system time
9.00745
max virtual memory
728912.0
max residence set size
12740.0
stage attributes
key
value
starexec-result
YES
output
18.42/18.16 YES 18.42/18.16 18.42/18.16 DP problem for innermost termination. 18.42/18.16 P = 18.42/18.16 f13#(x1, x2, x3, x4, x5) -> f12#(x1, x2, x3, x4, x5) 18.42/18.16 f12#(I0, I1, I2, I3, I4) -> f6#(0, I1, I2, I3, I4) 18.42/18.16 f2#(I5, I6, I7, I8, I9) -> f11#(I5, I6, I7, I5, I9) 18.42/18.16 f11#(I10, I11, I12, I13, I14) -> f10#(I10, I11, I12, I13, I14) 18.42/18.16 f10#(I15, I16, I17, I18, I19) -> f6#(1 + I15, I16, I17, I18, I19) 18.42/18.16 f4#(I20, I21, I22, I23, I24) -> f8#(I20, I21, I22, I23, I24) 18.42/18.16 f8#(I25, I26, I27, I28, I29) -> f7#(I25, I26, I27, I28, I26) [1 + I26 <= 200] 18.42/18.16 f7#(I35, I36, I37, I38, I39) -> f5#(I35, I36, I37, I38, I39) 18.42/18.16 f6#(I40, I41, I42, I43, I44) -> f3#(I40, I41, I42, I43, I44) 18.42/18.16 f5#(I45, I46, I47, I48, I49) -> f4#(I45, 1 + I46, I47, I48, I49) 18.42/18.16 f3#(I50, I51, I52, I53, I54) -> f1#(I50, I51, I50, I53, I54) [1 + I50 <= 100] 18.42/18.16 f3#(I55, I56, I57, I58, I59) -> f4#(I55, 100, I57, I58, I59) [100 <= I55] 18.42/18.16 f1#(I60, I61, I62, I63, I64) -> f2#(I60, I61, I62, I63, I64) 18.42/18.16 R = 18.42/18.16 f13(x1, x2, x3, x4, x5) -> f12(x1, x2, x3, x4, x5) 18.42/18.16 f12(I0, I1, I2, I3, I4) -> f6(0, I1, I2, I3, I4) 18.42/18.16 f2(I5, I6, I7, I8, I9) -> f11(I5, I6, I7, I5, I9) 18.42/18.16 f11(I10, I11, I12, I13, I14) -> f10(I10, I11, I12, I13, I14) 18.42/18.16 f10(I15, I16, I17, I18, I19) -> f6(1 + I15, I16, I17, I18, I19) 18.42/18.16 f4(I20, I21, I22, I23, I24) -> f8(I20, I21, I22, I23, I24) 18.42/18.16 f8(I25, I26, I27, I28, I29) -> f7(I25, I26, I27, I28, I26) [1 + I26 <= 200] 18.42/18.16 f8(I30, I31, I32, I33, I34) -> f9(I30, I31, I32, I33, I34) [200 <= I31] 18.42/18.16 f7(I35, I36, I37, I38, I39) -> f5(I35, I36, I37, I38, I39) 18.42/18.16 f6(I40, I41, I42, I43, I44) -> f3(I40, I41, I42, I43, I44) 18.42/18.16 f5(I45, I46, I47, I48, I49) -> f4(I45, 1 + I46, I47, I48, I49) 18.42/18.16 f3(I50, I51, I52, I53, I54) -> f1(I50, I51, I50, I53, I54) [1 + I50 <= 100] 18.42/18.16 f3(I55, I56, I57, I58, I59) -> f4(I55, 100, I57, I58, I59) [100 <= I55] 18.42/18.16 f1(I60, I61, I62, I63, I64) -> f2(I60, I61, I62, I63, I64) 18.42/18.16 18.42/18.16 The dependency graph for this problem is: 18.42/18.16 0 -> 1 18.42/18.16 1 -> 8 18.42/18.16 2 -> 3 18.42/18.16 3 -> 4 18.42/18.16 4 -> 8 18.42/18.16 5 -> 6 18.42/18.16 6 -> 7 18.42/18.16 7 -> 9 18.42/18.16 8 -> 10, 11 18.42/18.16 9 -> 5 18.42/18.16 10 -> 12 18.42/18.16 11 -> 5 18.42/18.16 12 -> 2 18.42/18.16 Where: 18.42/18.16 0) f13#(x1, x2, x3, x4, x5) -> f12#(x1, x2, x3, x4, x5) 18.42/18.16 1) f12#(I0, I1, I2, I3, I4) -> f6#(0, I1, I2, I3, I4) 18.42/18.16 2) f2#(I5, I6, I7, I8, I9) -> f11#(I5, I6, I7, I5, I9) 18.42/18.16 3) f11#(I10, I11, I12, I13, I14) -> f10#(I10, I11, I12, I13, I14) 18.42/18.16 4) f10#(I15, I16, I17, I18, I19) -> f6#(1 + I15, I16, I17, I18, I19) 18.42/18.16 5) f4#(I20, I21, I22, I23, I24) -> f8#(I20, I21, I22, I23, I24) 18.42/18.16 6) f8#(I25, I26, I27, I28, I29) -> f7#(I25, I26, I27, I28, I26) [1 + I26 <= 200] 18.42/18.16 7) f7#(I35, I36, I37, I38, I39) -> f5#(I35, I36, I37, I38, I39) 18.42/18.16 8) f6#(I40, I41, I42, I43, I44) -> f3#(I40, I41, I42, I43, I44) 18.42/18.16 9) f5#(I45, I46, I47, I48, I49) -> f4#(I45, 1 + I46, I47, I48, I49) 18.42/18.16 10) f3#(I50, I51, I52, I53, I54) -> f1#(I50, I51, I50, I53, I54) [1 + I50 <= 100] 18.42/18.16 11) f3#(I55, I56, I57, I58, I59) -> f4#(I55, 100, I57, I58, I59) [100 <= I55] 18.42/18.16 12) f1#(I60, I61, I62, I63, I64) -> f2#(I60, I61, I62, I63, I64) 18.42/18.16 18.42/18.16 We have the following SCCs. 18.42/18.16 { 2, 3, 4, 8, 10, 12 } 18.42/18.16 { 5, 6, 7, 9 } 18.42/18.16 18.42/18.16 DP problem for innermost termination. 18.42/18.16 P = 18.42/18.16 f4#(I20, I21, I22, I23, I24) -> f8#(I20, I21, I22, I23, I24) 18.42/18.16 f8#(I25, I26, I27, I28, I29) -> f7#(I25, I26, I27, I28, I26) [1 + I26 <= 200] 18.42/18.16 f7#(I35, I36, I37, I38, I39) -> f5#(I35, I36, I37, I38, I39) 18.42/18.16 f5#(I45, I46, I47, I48, I49) -> f4#(I45, 1 + I46, I47, I48, I49) 18.42/18.16 R = 18.42/18.16 f13(x1, x2, x3, x4, x5) -> f12(x1, x2, x3, x4, x5) 18.42/18.16 f12(I0, I1, I2, I3, I4) -> f6(0, I1, I2, I3, I4) 18.42/18.16 f2(I5, I6, I7, I8, I9) -> f11(I5, I6, I7, I5, I9) 18.42/18.16 f11(I10, I11, I12, I13, I14) -> f10(I10, I11, I12, I13, I14) 18.42/18.16 f10(I15, I16, I17, I18, I19) -> f6(1 + I15, I16, I17, I18, I19) 18.42/18.16 f4(I20, I21, I22, I23, I24) -> f8(I20, I21, I22, I23, I24) 18.42/18.16 f8(I25, I26, I27, I28, I29) -> f7(I25, I26, I27, I28, I26) [1 + I26 <= 200] 18.42/18.16 f8(I30, I31, I32, I33, I34) -> f9(I30, I31, I32, I33, I34) [200 <= I31] 18.42/18.16 f7(I35, I36, I37, I38, I39) -> f5(I35, I36, I37, I38, I39) 18.42/18.16 f6(I40, I41, I42, I43, I44) -> f3(I40, I41, I42, I43, I44) 18.42/18.16 f5(I45, I46, I47, I48, I49) -> f4(I45, 1 + I46, I47, I48, I49) 18.42/18.16 f3(I50, I51, I52, I53, I54) -> f1(I50, I51, I50, I53, I54) [1 + I50 <= 100] 18.42/18.16 f3(I55, I56, I57, I58, I59) -> f4(I55, 100, I57, I58, I59) [100 <= I55] 18.42/18.16 f1(I60, I61, I62, I63, I64) -> f2(I60, I61, I62, I63, I64) 18.42/18.16 18.42/18.16 We use the extended value criterion with the projection function NU: 18.42/18.16 NU[f5#(x0,x1,x2,x3,x4)] = -x1 + 198 18.42/18.16 NU[f7#(x0,x1,x2,x3,x4)] = -x1 + 198 18.42/18.16 NU[f8#(x0,x1,x2,x3,x4)] = -x1 + 199 18.42/18.16 NU[f4#(x0,x1,x2,x3,x4)] = -x1 + 199 18.42/18.16 18.42/18.16 This gives the following inequalities: 18.42/18.16 ==> -I21 + 199 >= -I21 + 199 18.42/18.16 1 + I26 <= 200 ==> -I26 + 199 > -I26 + 198 with -I26 + 199 >= 0 18.42/18.16 ==> -I36 + 198 >= -I36 + 198 18.42/18.16 ==> -I46 + 198 >= -(1 + I46) + 199 18.42/18.16
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