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ITS pair #487097038
details
property
value
status
complete
benchmark
mc91test.t2.smt2
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
From_T2
run statistics
property
value
solver
Ctrl
configuration
Transition
runtime (wallclock)
78.1016 seconds
cpu usage
78.7069
user time
43.4114
system time
35.2955
max virtual memory
784368.0
max residence set size
24232.0
stage attributes
key
value
starexec-result
MAYBE
output
MAYBE DP problem for innermost termination. P = f8#(x1, x2, x3, x4, x5, x6, x7, x8) -> f7#(x1, x2, x3, x4, x5, x6, x7, x8) f7#(I0, I1, I2, I3, I4, I5, I6, I7) -> f1#(I0, I1, I2, 0, 1, rnd6, I6, I7) [rnd6 = rnd6] f6#(I8, I9, I10, I11, I12, I13, I14, I15) -> f1#(I8, I9, I10, I11, I12, I13, I14, I15) f1#(I16, I17, I18, I19, I20, I21, I22, I23) -> f6#(I16, I17, I18, I19, -1 + I20, -1 * I17 + I21, I22, I23) [1 + I16 <= I21 /\ 1 <= I20] f5#(I24, I25, I26, I27, I28, I29, I30, I31) -> f1#(I24, I25, I26, I27, I28, I29, I30, I31) f1#(I32, I33, I34, I35, I36, I37, I38, I39) -> f5#(I32, I33, I34, I35, 1 + I36, I34 + I37, I38, I39) [I37 <= I32 /\ 1 <= I36] f4#(I40, I41, I42, I43, I44, I45, I46, I47) -> f1#(I40, I41, I42, I43, I44, I45, I46, I47) f1#(I48, I49, I50, I51, I52, I53, I54, I55) -> f4#(I48, I49, I50, 1, -1 + I52, -1 * I49 + I53, I52, I53) [1 + I48 <= I53 /\ 1 <= I52 /\ I51 <= 0] f3#(I56, I57, I58, I59, I60, I61, I62, I63) -> f1#(I56, I57, I58, I59, I60, I61, I62, I63) f1#(I64, I65, I66, I67, I68, I69, I70, I71) -> f3#(I64, I65, I66, 1, 1 + I68, I66 + I69, I68, I69) [I69 <= I64 /\ 1 <= I68 /\ I67 <= 0] R = f8(x1, x2, x3, x4, x5, x6, x7, x8) -> f7(x1, x2, x3, x4, x5, x6, x7, x8) f7(I0, I1, I2, I3, I4, I5, I6, I7) -> f1(I0, I1, I2, 0, 1, rnd6, I6, I7) [rnd6 = rnd6] f6(I8, I9, I10, I11, I12, I13, I14, I15) -> f1(I8, I9, I10, I11, I12, I13, I14, I15) f1(I16, I17, I18, I19, I20, I21, I22, I23) -> f6(I16, I17, I18, I19, -1 + I20, -1 * I17 + I21, I22, I23) [1 + I16 <= I21 /\ 1 <= I20] f5(I24, I25, I26, I27, I28, I29, I30, I31) -> f1(I24, I25, I26, I27, I28, I29, I30, I31) f1(I32, I33, I34, I35, I36, I37, I38, I39) -> f5(I32, I33, I34, I35, 1 + I36, I34 + I37, I38, I39) [I37 <= I32 /\ 1 <= I36] f4(I40, I41, I42, I43, I44, I45, I46, I47) -> f1(I40, I41, I42, I43, I44, I45, I46, I47) f1(I48, I49, I50, I51, I52, I53, I54, I55) -> f4(I48, I49, I50, 1, -1 + I52, -1 * I49 + I53, I52, I53) [1 + I48 <= I53 /\ 1 <= I52 /\ I51 <= 0] f3(I56, I57, I58, I59, I60, I61, I62, I63) -> f1(I56, I57, I58, I59, I60, I61, I62, I63) f1(I64, I65, I66, I67, I68, I69, I70, I71) -> f3(I64, I65, I66, 1, 1 + I68, I66 + I69, I68, I69) [I69 <= I64 /\ 1 <= I68 /\ I67 <= 0] f1(I72, I73, I74, I75, I76, I77, I78, I79) -> f2(I72, I73, I74, I75, I76, I77, I78, I79) [I77 <= I79 /\ I78 <= I76 /\ 1 <= I75] The dependency graph for this problem is: 0 -> 1 1 -> 3, 5, 7, 9 2 -> 3, 5, 7, 9 3 -> 2 4 -> 3, 5, 7, 9 5 -> 4 6 -> 3, 5, 7, 9 7 -> 6 8 -> 3, 5, 7, 9 9 -> 8 Where: 0) f8#(x1, x2, x3, x4, x5, x6, x7, x8) -> f7#(x1, x2, x3, x4, x5, x6, x7, x8) 1) f7#(I0, I1, I2, I3, I4, I5, I6, I7) -> f1#(I0, I1, I2, 0, 1, rnd6, I6, I7) [rnd6 = rnd6] 2) f6#(I8, I9, I10, I11, I12, I13, I14, I15) -> f1#(I8, I9, I10, I11, I12, I13, I14, I15) 3) f1#(I16, I17, I18, I19, I20, I21, I22, I23) -> f6#(I16, I17, I18, I19, -1 + I20, -1 * I17 + I21, I22, I23) [1 + I16 <= I21 /\ 1 <= I20] 4) f5#(I24, I25, I26, I27, I28, I29, I30, I31) -> f1#(I24, I25, I26, I27, I28, I29, I30, I31) 5) f1#(I32, I33, I34, I35, I36, I37, I38, I39) -> f5#(I32, I33, I34, I35, 1 + I36, I34 + I37, I38, I39) [I37 <= I32 /\ 1 <= I36] 6) f4#(I40, I41, I42, I43, I44, I45, I46, I47) -> f1#(I40, I41, I42, I43, I44, I45, I46, I47) 7) f1#(I48, I49, I50, I51, I52, I53, I54, I55) -> f4#(I48, I49, I50, 1, -1 + I52, -1 * I49 + I53, I52, I53) [1 + I48 <= I53 /\ 1 <= I52 /\ I51 <= 0] 8) f3#(I56, I57, I58, I59, I60, I61, I62, I63) -> f1#(I56, I57, I58, I59, I60, I61, I62, I63) 9) f1#(I64, I65, I66, I67, I68, I69, I70, I71) -> f3#(I64, I65, I66, 1, 1 + I68, I66 + I69, I68, I69) [I69 <= I64 /\ 1 <= I68 /\ I67 <= 0] We have the following SCCs. { 2, 3, 4, 5, 6, 7, 8, 9 } DP problem for innermost termination. P = f6#(I8, I9, I10, I11, I12, I13, I14, I15) -> f1#(I8, I9, I10, I11, I12, I13, I14, I15) f1#(I16, I17, I18, I19, I20, I21, I22, I23) -> f6#(I16, I17, I18, I19, -1 + I20, -1 * I17 + I21, I22, I23) [1 + I16 <= I21 /\ 1 <= I20] f5#(I24, I25, I26, I27, I28, I29, I30, I31) -> f1#(I24, I25, I26, I27, I28, I29, I30, I31) f1#(I32, I33, I34, I35, I36, I37, I38, I39) -> f5#(I32, I33, I34, I35, 1 + I36, I34 + I37, I38, I39) [I37 <= I32 /\ 1 <= I36] f4#(I40, I41, I42, I43, I44, I45, I46, I47) -> f1#(I40, I41, I42, I43, I44, I45, I46, I47) f1#(I48, I49, I50, I51, I52, I53, I54, I55) -> f4#(I48, I49, I50, 1, -1 + I52, -1 * I49 + I53, I52, I53) [1 + I48 <= I53 /\ 1 <= I52 /\ I51 <= 0] f3#(I56, I57, I58, I59, I60, I61, I62, I63) -> f1#(I56, I57, I58, I59, I60, I61, I62, I63) f1#(I64, I65, I66, I67, I68, I69, I70, I71) -> f3#(I64, I65, I66, 1, 1 + I68, I66 + I69, I68, I69) [I69 <= I64 /\ 1 <= I68 /\ I67 <= 0] R = f8(x1, x2, x3, x4, x5, x6, x7, x8) -> f7(x1, x2, x3, x4, x5, x6, x7, x8) f7(I0, I1, I2, I3, I4, I5, I6, I7) -> f1(I0, I1, I2, 0, 1, rnd6, I6, I7) [rnd6 = rnd6] f6(I8, I9, I10, I11, I12, I13, I14, I15) -> f1(I8, I9, I10, I11, I12, I13, I14, I15) f1(I16, I17, I18, I19, I20, I21, I22, I23) -> f6(I16, I17, I18, I19, -1 + I20, -1 * I17 + I21, I22, I23) [1 + I16 <= I21 /\ 1 <= I20] f5(I24, I25, I26, I27, I28, I29, I30, I31) -> f1(I24, I25, I26, I27, I28, I29, I30, I31) f1(I32, I33, I34, I35, I36, I37, I38, I39) -> f5(I32, I33, I34, I35, 1 + I36, I34 + I37, I38, I39) [I37 <= I32 /\ 1 <= I36] f4(I40, I41, I42, I43, I44, I45, I46, I47) -> f1(I40, I41, I42, I43, I44, I45, I46, I47) f1(I48, I49, I50, I51, I52, I53, I54, I55) -> f4(I48, I49, I50, 1, -1 + I52, -1 * I49 + I53, I52, I53) [1 + I48 <= I53 /\ 1 <= I52 /\ I51 <= 0] f3(I56, I57, I58, I59, I60, I61, I62, I63) -> f1(I56, I57, I58, I59, I60, I61, I62, I63) f1(I64, I65, I66, I67, I68, I69, I70, I71) -> f3(I64, I65, I66, 1, 1 + I68, I66 + I69, I68, I69) [I69 <= I64 /\ 1 <= I68 /\ I67 <= 0] f1(I72, I73, I74, I75, I76, I77, I78, I79) -> f2(I72, I73, I74, I75, I76, I77, I78, I79) [I77 <= I79 /\ I78 <= I76 /\ 1 <= I75] We use the reverse value criterion with the projection function NU: NU[f3#(z1,z2,z3,z4,z5,z6,z7,z8)] = 0 + -1 * z4 NU[f4#(z1,z2,z3,z4,z5,z6,z7,z8)] = 0 + -1 * z4 NU[f5#(z1,z2,z3,z4,z5,z6,z7,z8)] = 0 + -1 * z4 NU[f1#(z1,z2,z3,z4,z5,z6,z7,z8)] = 0 + -1 * z4 NU[f6#(z1,z2,z3,z4,z5,z6,z7,z8)] = 0 + -1 * z4 This gives the following inequalities: ==> 0 + -1 * I11 >= 0 + -1 * I11 1 + I16 <= I21 /\ 1 <= I20 ==> 0 + -1 * I19 >= 0 + -1 * I19 ==> 0 + -1 * I27 >= 0 + -1 * I27 I37 <= I32 /\ 1 <= I36 ==> 0 + -1 * I35 >= 0 + -1 * I35 ==> 0 + -1 * I43 >= 0 + -1 * I43 1 + I48 <= I53 /\ 1 <= I52 /\ I51 <= 0 ==> 0 + -1 * I51 > 0 + -1 * 1 with 0 + -1 * I51 >= 0 ==> 0 + -1 * I59 >= 0 + -1 * I59 I69 <= I64 /\ 1 <= I68 /\ I67 <= 0 ==> 0 + -1 * I67 > 0 + -1 * 1 with 0 + -1 * I67 >= 0 We remove all the strictly oriented dependency pairs. DP problem for innermost termination. P = f6#(I8, I9, I10, I11, I12, I13, I14, I15) -> f1#(I8, I9, I10, I11, I12, I13, I14, I15) f1#(I16, I17, I18, I19, I20, I21, I22, I23) -> f6#(I16, I17, I18, I19, -1 + I20, -1 * I17 + I21, I22, I23) [1 + I16 <= I21 /\ 1 <= I20] f5#(I24, I25, I26, I27, I28, I29, I30, I31) -> f1#(I24, I25, I26, I27, I28, I29, I30, I31)
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