Integ Trans Syste 27634 pair #381739801

details
property	value
status	complete
benchmark	fermat.t2.smt2
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n045.star.cs.uiowa.edu
space	From_T2
run statistics
property	value
solver	Ctrl
configuration	Transition
runtime (wallclock)	188.961495876 seconds
cpu usage	199.459704184
max memory	3.0674944E7
stage attributes
key	value
output-size	31495
starexec-result	YES
output
/export/starexec/sandbox/solver/bin/starexec_run_Transition /export/starexec/sandbox/benchmark/theBenchmark.smt2 /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


YES

DP problem for innermost termination.
P =
  f9#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) -> f8#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) 
  f8#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21) -> f1#(3, 1, I2, I3, I4, I5, I6, 0, I8, I9, I10, I11, 3, I13, I14, I4, I16, I17, I18, I19, I20, I21) 
  f2#(I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43) -> f1#(I22, rnd2, I24, I25, I26, I27, I28, 1 + I29, I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43) [rnd2 = rnd2 /\ 1 + I29 <= I34]
  f2#(I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f6#(I44, I45, 1, I47, I48, I49, I50, I51, 0, I53, I44, I55, I56, I49, I58, I59, I45, I61, I62, I45, I64, I65) [I56 <= I51]
  f5#(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87) -> f3#(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87) 
  f7#(I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109) -> f6#(I88, I89, rnd3, I91, I92, I93, I94, I95, 1 + I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109) [rnd3 = rnd3 /\ 1 + I96 <= I98]
  f7#(I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f5#(I110, I111, I112, 1, I114, I115, I116, I117, I118, 0, I120, I110, I122, I123, I116, I125, I126, I112, I128, I129, I112, I131) [I120 <= I118]
  f6#(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153) -> f7#(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153) 
  f3#(I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175) -> f5#(I154, I155, I156, rnd4, I158, I159, I160, I161, I162, 1 + I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175) [rnd4 = rnd4 /\ 1 + I163 <= I165]
  f1#(I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) -> f2#(I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) 
R = 
  f9(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) -> f8(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) 
  f8(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21) -> f1(3, 1, I2, I3, I4, I5, I6, 0, I8, I9, I10, I11, 3, I13, I14, I4, I16, I17, I18, I19, I20, I21) 
  f2(I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43) -> f1(I22, rnd2, I24, I25, I26, I27, I28, 1 + I29, I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43) [rnd2 = rnd2 /\ 1 + I29 <= I34]
  f2(I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f6(I44, I45, 1, I47, I48, I49, I50, I51, 0, I53, I44, I55, I56, I49, I58, I59, I45, I61, I62, I45, I64, I65) [I56 <= I51]
  f5(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87) -> f3(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87) 
  f7(I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109) -> f6(I88, I89, rnd3, I91, I92, I93, I94, I95, 1 + I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109) [rnd3 = rnd3 /\ 1 + I96 <= I98]
  f7(I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f5(I110, I111, I112, 1, I114, I115, I116, I117, I118, 0, I120, I110, I122, I123, I116, I125, I126, I112, I128, I129, I112, I131) [I120 <= I118]
  f6(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153) -> f7(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153) 
  f3(I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175) -> f5(I154, I155, I156, rnd4, I158, I159, I160, I161, I162, 1 + I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175) [rnd4 = rnd4 /\ 1 + I163 <= I165]
  f3(I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f4(I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I179, I195, I196, I179) [I187 <= I185]
  f1(I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) -> f2(I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) 

The dependency graph for this problem is:
  0 -> 1
  1 -> 9
  2 -> 9
  3 -> 7
  4 -> 8
  5 -> 7
  6 -> 4
  7 -> 5, 6
  8 -> 4
  9 -> 2, 3
Where:
  0) f9#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) -> f8#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) 
  1) f8#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21) -> f1#(3, 1, I2, I3, I4, I5, I6, 0, I8, I9, I10, I11, 3, I13, I14, I4, I16, I17, I18, I19, I20, I21) 
  2) f2#(I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43) -> f1#(I22, rnd2, I24, I25, I26, I27, I28, 1 + I29, I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43) [rnd2 = rnd2 /\ 1 + I29 <= I34]
  3) f2#(I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f6#(I44, I45, 1, I47, I48, I49, I50, I51, 0, I53, I44, I55, I56, I49, I58, I59, I45, I61, I62, I45, I64, I65) [I56 <= I51]
  4) f5#(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87) -> f3#(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87) 
  5) f7#(I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109) -> f6#(I88, I89, rnd3, I91, I92, I93, I94, I95, 1 + I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109) [rnd3 = rnd3 /\ 1 + I96 <= I98]
  6) f7#(I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f5#(I110, I111, I112, 1, I114, I115, I116, I117, I118, 0, I120, I110, I122, I123, I116, I125, I126, I112, I128, I129, I112, I131) [I120 <= I118]
  7) f6#(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153) -> f7#(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153) 
  8) f3#(I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175) -> f5#(I154, I155, I156, rnd4, I158, I159, I160, I161, I162, 1 + I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175) [rnd4 = rnd4 /\ 1 + I163 <= I165]
  9) f1#(I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) -> f2#(I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) 

We have the following SCCs.
  { 2, 9 }
  { 5, 7 }
  { 4, 8 }

DP problem for innermost termination.
P =
  f5#(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87) -> f3#(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87) 
  f3#(I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175) -> f5#(I154, I155, I156, rnd4, I158, I159, I160, I161, I162, 1 + I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175) [rnd4 = rnd4 /\ 1 + I163 <= I165]
R = 
  f9(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) -> f8(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) 
  f8(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21) -> f1(3, 1, I2, I3, I4, I5, I6, 0, I8, I9, I10, I11, 3, I13, I14, I4, I16, I17, I18, I19, I20, I21) 
  f2(I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43) -> f1(I22, rnd2, I24, I25, I26, I27, I28, 1 + I29, I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43) [rnd2 = rnd2 /\ 1 + I29 <= I34]
  f2(I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f6(I44, I45, 1, I47, I48, I49, I50, I51, 0, I53, I44, I55, I56, I49, I58, I59, I45, I61, I62, I45, I64, I65) [I56 <= I51]
  f5(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87) -> f3(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87) 
  f7(I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109) -> f6(I88, I89, rnd3, I91, I92, I93, I94, I95, 1 + I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109) [rnd3 = rnd3 /\ 1 + I96 <= I98]
  f7(I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f5(I110, I111, I112, 1, I114, I115, I116, I117, I118, 0, I120, I110, I122, I123, I116, I125, I126, I112, I128, I129, I112, I131) [I120 <= I118]
  f6(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153) -> f7(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153) 
  f3(I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175) -> f5(I154, I155, I156, rnd4, I158, I159, I160, I161, I162, 1 + I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175) [rnd4 = rnd4 /\ 1 + I163 <= I165]
  f3(I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f4(I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I179, I195, I196, I179) [I187 <= I185]
  f1(I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) -> f2(I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219) 

We use the reverse value criterion with the projection function NU:
  NU[f3#(z1,z2,z3,z4,z5,z6,z7,z8,z9,z10,z11,z12,z13,z14,z15,z16,z17,z18,z19,z20,z21,z22)] = z12 + -1 * (1 + z10)
  NU[f5#(z1,z2,z3,z4,z5,z6,z7,z8,z9,z10,z11,z12,z13,z14,z15,z16,z17,z18,z19,z20,z21,z22)] = z12 + -1 * (1 + z10)

This gives the following inequalities:
    ==>  I77 + -1 * (1 + I75) >= I77 + -1 * (1 + I75)
  rnd4 = rnd4 /\ 1 + I163 <= I165  ==>  I165 + -1 * (1 + I163) > I165 + -1 * (1 + (1 + I163))  with  I165 + -1 * (1 + I163) >= 0

We remove all the strictly oriented dependency pairs.

DP problem for innermost termination.
P =
  f5#(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87) -> f3#(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87) 
R = 
  f9(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) -> f8(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) 
  f8(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21) -> f1(3, 1, I2, I3, I4, I5, I6, 0, I8, I9, I10, I11, 3, I13, I14, I4, I16, I17, I18, I19, I20, I21) 
  f2(I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43) -> f1(I22, rnd2, I24, I25, I26, I27, I28, 1 + I29, I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43) [rnd2 = rnd2 /\ 1 + I29 <= I34]
  f2(I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f6(I44, I45, 1, I47, I48, I49, I50, I51, 0, I53, I44, I55, I56, I49, I58, I59, I45, I61, I62, I45, I64, I65) [I56 <= I51]
  f5(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87) -> f3(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87) 
  f7(I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109) -> f6(I88, I89, rnd3, I91, I92, I93, I94, I95, 1 + I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109) [rnd3 = rnd3 /\ 1 + I96 <= I98]
  f7(I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f5(I110, I111, I112, 1, I114, I115, I116, I117, I118, 0, I120, I110, I122, I123, I116, I125, I126, I112, I128, I129, I112, I131) [I120 <= I118]
  f6(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153) -> f7(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153)
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions all output return to Integ Trans Syste 27634