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Integer_Transition_Systems 2019-03-29 01.54 pair #432276312
details
property
value
status
complete
benchmark
matmult.t2_fixed.smt2
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n075.star.cs.uiowa.edu
space
From_T2
run statistics
property
value
solver
Ctrl
configuration
Transition
runtime (wallclock)
237.992 seconds
cpu usage
242.051
user time
124.275
system time
117.776
max virtual memory
814820.0
max residence set size
26464.0
stage attributes
key
value
starexec-result
YES
output
241.91/237.98 YES 241.91/237.98 241.91/237.98 DP problem for innermost termination. 241.91/237.98 P = 241.91/237.98 f17#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f16#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) 241.91/237.98 f16#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f1#(I0, I1, I2, I3, I4, 0, I6, 0, I8, I9) 241.91/237.98 f2#(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f3#(I10, I11, 0, I13, I14, I15, I16, I17, I18, I19) [1 + I15 <= 20] 241.91/237.98 f2#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f5#(I20, I21, I22, I23, I24, I25, 0, I27, I28, I29) [20 <= I25] 241.91/237.98 f4#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f3#(I30, I31, 1 + I32, I33, I34, I35, I36, rnd8, rnd9, I39) [rnd9 = rnd8 /\ rnd8 = rnd8 /\ 1 + I32 <= 20] 241.91/237.98 f4#(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) -> f1#(I40, I41, I42, I43, I44, 1 + I45, I46, I47, I48, I49) [20 <= I42] 241.91/237.98 f9#(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f7#(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) 241.91/237.98 f8#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) -> f10#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) 241.91/237.98 f6#(I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) -> f14#(I70, I71, I72, 0, I74, I75, I76, I77, I78, I79) [1 + I76 <= 20] 241.91/237.98 f6#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f11#(I80, I81, I82, I83, 0, I85, I86, I87, I88, I89) [20 <= I86] 241.91/237.98 f15#(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f14#(I90, I91, I92, 1 + I93, I94, I95, I96, I100, I98, rnd10) [rnd10 = I100 /\ I100 = I100 /\ 1 + I93 <= 20] 241.91/237.98 f15#(I101, I102, I103, I104, I105, I106, I107, I108, I109, I110) -> f5#(I101, I102, I103, I104, I105, I106, 1 + I107, I108, I109, I110) [20 <= I104] 241.91/237.98 f11#(I111, I112, I113, I114, I115, I116, I117, I118, I119, I120) -> f12#(I111, I112, I113, I114, I115, I116, I117, I118, I119, I120) 241.91/237.98 f14#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130) -> f15#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130) 241.91/237.98 f12#(I131, I132, I133, I134, I135, I136, I137, I138, I139, I140) -> f8#(I131, 0, I133, I134, I135, I136, I137, I138, I139, I140) [1 + I135 <= 20] 241.91/237.98 f10#(I151, I152, I153, I154, I155, I156, I157, I158, I159, I160) -> f9#(0, I152, I153, I154, I155, I156, I157, I158, I159, I160) [1 + I152 <= 20] 241.91/237.98 f10#(I161, I162, I163, I164, I165, I166, I167, I168, I169, I170) -> f11#(I161, I162, I163, I164, 1 + I165, I166, I167, I168, I169, I170) [20 <= I162] 241.91/237.98 f7#(I171, I172, I173, I174, I175, I176, I177, I178, I179, I180) -> f9#(1 + I171, I172, I173, I174, I175, I176, I177, I178, I179, I180) [1 + I171 <= 20] 241.91/237.98 f7#(I181, I182, I183, I184, I185, I186, I187, I188, I189, I190) -> f8#(I181, 1 + I182, I183, I184, I185, I186, I187, I188, I189, I190) [20 <= I181] 241.91/237.98 f5#(I191, I192, I193, I194, I195, I196, I197, I198, I199, I200) -> f6#(I191, I192, I193, I194, I195, I196, I197, I198, I199, I200) 241.91/237.98 f3#(I201, I202, I203, I204, I205, I206, I207, I208, I209, I210) -> f4#(I201, I202, I203, I204, I205, I206, I207, I208, I209, I210) 241.91/237.98 f1#(I211, I212, I213, I214, I215, I216, I217, I218, I219, I220) -> f2#(I211, I212, I213, I214, I215, I216, I217, I218, I219, I220) 241.91/237.98 R = 241.91/237.98 f17(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f16(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) 241.91/237.98 f16(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f1(I0, I1, I2, I3, I4, 0, I6, 0, I8, I9) 241.91/237.98 f2(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f3(I10, I11, 0, I13, I14, I15, I16, I17, I18, I19) [1 + I15 <= 20] 241.91/237.98 f2(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f5(I20, I21, I22, I23, I24, I25, 0, I27, I28, I29) [20 <= I25] 241.91/237.98 f4(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f3(I30, I31, 1 + I32, I33, I34, I35, I36, rnd8, rnd9, I39) [rnd9 = rnd8 /\ rnd8 = rnd8 /\ 1 + I32 <= 20] 241.91/237.98 f4(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) -> f1(I40, I41, I42, I43, I44, 1 + I45, I46, I47, I48, I49) [20 <= I42] 241.91/237.98 f9(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f7(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) 241.91/237.98 f8(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) -> f10(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) 241.91/237.98 f6(I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) -> f14(I70, I71, I72, 0, I74, I75, I76, I77, I78, I79) [1 + I76 <= 20] 241.91/237.98 f6(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f11(I80, I81, I82, I83, 0, I85, I86, I87, I88, I89) [20 <= I86] 241.91/237.98 f15(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f14(I90, I91, I92, 1 + I93, I94, I95, I96, I100, I98, rnd10) [rnd10 = I100 /\ I100 = I100 /\ 1 + I93 <= 20] 241.91/237.98 f15(I101, I102, I103, I104, I105, I106, I107, I108, I109, I110) -> f5(I101, I102, I103, I104, I105, I106, 1 + I107, I108, I109, I110) [20 <= I104] 241.91/237.98 f11(I111, I112, I113, I114, I115, I116, I117, I118, I119, I120) -> f12(I111, I112, I113, I114, I115, I116, I117, I118, I119, I120) 241.91/237.98 f14(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130) -> f15(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130) 241.91/237.98 f12(I131, I132, I133, I134, I135, I136, I137, I138, I139, I140) -> f8(I131, 0, I133, I134, I135, I136, I137, I138, I139, I140) [1 + I135 <= 20] 241.91/237.98 f12(I141, I142, I143, I144, I145, I146, I147, I148, I149, I150) -> f13(I141, I142, I143, I144, I145, I146, I147, I148, I149, I150) [20 <= I145] 241.91/237.98 f10(I151, I152, I153, I154, I155, I156, I157, I158, I159, I160) -> f9(0, I152, I153, I154, I155, I156, I157, I158, I159, I160) [1 + I152 <= 20] 241.91/237.98 f10(I161, I162, I163, I164, I165, I166, I167, I168, I169, I170) -> f11(I161, I162, I163, I164, 1 + I165, I166, I167, I168, I169, I170) [20 <= I162] 241.91/237.98 f7(I171, I172, I173, I174, I175, I176, I177, I178, I179, I180) -> f9(1 + I171, I172, I173, I174, I175, I176, I177, I178, I179, I180) [1 + I171 <= 20] 241.91/237.98 f7(I181, I182, I183, I184, I185, I186, I187, I188, I189, I190) -> f8(I181, 1 + I182, I183, I184, I185, I186, I187, I188, I189, I190) [20 <= I181] 241.91/237.98 f5(I191, I192, I193, I194, I195, I196, I197, I198, I199, I200) -> f6(I191, I192, I193, I194, I195, I196, I197, I198, I199, I200) 241.91/237.98 f3(I201, I202, I203, I204, I205, I206, I207, I208, I209, I210) -> f4(I201, I202, I203, I204, I205, I206, I207, I208, I209, I210) 241.91/237.98 f1(I211, I212, I213, I214, I215, I216, I217, I218, I219, I220) -> f2(I211, I212, I213, I214, I215, I216, I217, I218, I219, I220) 241.91/237.98 241.91/237.98 The dependency graph for this problem is: 241.91/237.98 0 -> 1 241.91/237.98 1 -> 21 241.91/237.98 2 -> 20 241.91/237.98 3 -> 19 241.91/237.98 4 -> 20 241.91/237.98 5 -> 21 241.91/237.98 6 -> 17, 18 241.91/237.98 7 -> 15, 16 241.91/237.98 8 -> 13 241.91/237.98 9 -> 12 241.91/237.98 10 -> 13 241.91/237.98 11 -> 19 241.91/237.98 12 -> 14 241.91/237.98 13 -> 10, 11 241.91/237.98 14 -> 7 241.91/237.98 15 -> 6 241.91/237.98 16 -> 12 241.91/237.98 17 -> 6 241.91/237.98 18 -> 7 241.91/237.98 19 -> 8, 9 241.91/237.98 20 -> 4, 5 241.91/237.98 21 -> 2, 3 241.91/237.98 Where: 241.91/237.98 0) f17#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f16#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) 241.91/237.98 1) f16#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f1#(I0, I1, I2, I3, I4, 0, I6, 0, I8, I9) 241.91/237.98 2) f2#(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f3#(I10, I11, 0, I13, I14, I15, I16, I17, I18, I19) [1 + I15 <= 20] 241.91/237.98 3) f2#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f5#(I20, I21, I22, I23, I24, I25, 0, I27, I28, I29) [20 <= I25] 241.91/237.98 4) f4#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f3#(I30, I31, 1 + I32, I33, I34, I35, I36, rnd8, rnd9, I39) [rnd9 = rnd8 /\ rnd8 = rnd8 /\ 1 + I32 <= 20] 241.91/237.98 5) f4#(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) -> f1#(I40, I41, I42, I43, I44, 1 + I45, I46, I47, I48, I49) [20 <= I42] 241.91/237.98 6) f9#(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f7#(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) 241.91/237.98 7) f8#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) -> f10#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) 241.91/237.98 8) f6#(I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) -> f14#(I70, I71, I72, 0, I74, I75, I76, I77, I78, I79) [1 + I76 <= 20] 241.91/237.98 9) f6#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f11#(I80, I81, I82, I83, 0, I85, I86, I87, I88, I89) [20 <= I86] 241.91/237.98 10) f15#(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f14#(I90, I91, I92, 1 + I93, I94, I95, I96, I100, I98, rnd10) [rnd10 = I100 /\ I100 = I100 /\ 1 + I93 <= 20] 241.91/237.98 11) f15#(I101, I102, I103, I104, I105, I106, I107, I108, I109, I110) -> f5#(I101, I102, I103, I104, I105, I106, 1 + I107, I108, I109, I110) [20 <= I104] 241.91/237.98 12) f11#(I111, I112, I113, I114, I115, I116, I117, I118, I119, I120) -> f12#(I111, I112, I113, I114, I115, I116, I117, I118, I119, I120) 241.91/237.98 13) f14#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130) -> f15#(I121, I122, I123, I124, I125, I126, I127, I128, I129, I130) 241.91/237.98 14) f12#(I131, I132, I133, I134, I135, I136, I137, I138, I139, I140) -> f8#(I131, 0, I133, I134, I135, I136, I137, I138, I139, I140) [1 + I135 <= 20] 241.91/237.98 15) f10#(I151, I152, I153, I154, I155, I156, I157, I158, I159, I160) -> f9#(0, I152, I153, I154, I155, I156, I157, I158, I159, I160) [1 + I152 <= 20] 241.91/237.98 16) f10#(I161, I162, I163, I164, I165, I166, I167, I168, I169, I170) -> f11#(I161, I162, I163, I164, 1 + I165, I166, I167, I168, I169, I170) [20 <= I162] 241.91/237.98 17) f7#(I171, I172, I173, I174, I175, I176, I177, I178, I179, I180) -> f9#(1 + I171, I172, I173, I174, I175, I176, I177, I178, I179, I180) [1 + I171 <= 20] 241.91/237.98 18) f7#(I181, I182, I183, I184, I185, I186, I187, I188, I189, I190) -> f8#(I181, 1 + I182, I183, I184, I185, I186, I187, I188, I189, I190) [20 <= I181] 241.91/237.98 19) f5#(I191, I192, I193, I194, I195, I196, I197, I198, I199, I200) -> f6#(I191, I192, I193, I194, I195, I196, I197, I198, I199, I200) 241.91/237.98 20) f3#(I201, I202, I203, I204, I205, I206, I207, I208, I209, I210) -> f4#(I201, I202, I203, I204, I205, I206, I207, I208, I209, I210) 241.91/237.98 21) f1#(I211, I212, I213, I214, I215, I216, I217, I218, I219, I220) -> f2#(I211, I212, I213, I214, I215, I216, I217, I218, I219, I220) 241.91/237.98 241.91/237.98 We have the following SCCs. 241.91/237.98 { 2, 4, 5, 20, 21 }
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