/export/starexec/sandbox2/solver/bin/starexec_run_Transition /export/starexec/sandbox2/benchmark/theBenchmark.smt2 /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- MAYBE DP problem for innermost termination. P = f16#(x1, x2, x3, x4, x5, x6, x7) -> f15#(x1, x2, x3, x4, x5, x6, x7) f15#(I0, I1, I2, I3, I4, I5, I6) -> f2#(rnd1, rnd2, 1, 0, 0, 0, rnd7) [rnd1 = rnd2 /\ 1 <= rnd2 /\ rnd2 = rnd2 /\ 0 <= rnd7 /\ rnd7 = rnd7] f11#(I7, I8, I9, I10, I11, I12, I13) -> f13#(I7, I8, I9, I10, rnd5, I12, I13) [rnd5 <= 1 /\ 0 <= rnd5 /\ rnd5 = rnd5 /\ 1 <= I7] f13#(I21, I22, I23, I24, I25, I26, I27) -> f12#(I21, I22, I23, I24, I25, I26, I27) [I27 <= 0] f13#(I28, I29, I30, I31, I32, I33, I34) -> f9#(I28, I29, I30, I31, I32, I33, -1 + I34) [1 <= I34] f12#(I35, I36, I37, I38, I39, I40, I41) -> f9#(I35, I36, I37, 1 + I38, I39, I40, I41) [I39 <= 0 /\ I38 <= 0] f12#(I42, I43, I44, I45, I46, I47, I48) -> f10#(I42, I43, I44, I45, I46, I47, I48) [1 <= I45] f2#(I49, I50, I51, I52, I53, I54, I55) -> f11#(I49, I50, I51, I52, I53, I54, I55) f9#(I56, I57, I58, I59, I60, I61, I62) -> f7#(I56, I57, I58, I59, I60, rnd6, I62) [rnd6 <= 1 /\ 0 <= rnd6 /\ rnd6 = rnd6] f10#(I63, I64, I65, I66, I67, I68, I69) -> f9#(I63, I64, I65, 1 + I66, I67, I68, I69) [1 <= I67 /\ I66 <= 1] f10#(I70, I71, I72, I73, I74, I75, I76) -> f8#(I70, I71, I72, I73, I74, I75, I76) [2 <= I73] f8#(I77, I78, I79, I80, I81, I82, I83) -> f9#(I77, I78, I79, 1 + I80, I81, I82, I83) [I81 <= 0 /\ I80 <= 2] f8#(I84, I85, I86, I87, I88, I89, I90) -> f9#(I84, I85, 1 + I86, 0, I88, I89, I91) [0 <= I91 /\ I91 = I91 /\ 3 <= I87] f7#(I92, I93, I94, I95, I96, I97, I98) -> f6#(I92, I93, I94, I95, I96, I97, I98) [I98 <= 0] f7#(I99, I100, I101, I102, I103, I104, I105) -> f4#(I99, I100, I101, I102, I103, I104, -1 + I105) [1 <= I105] f6#(I106, I107, I108, I109, I110, I111, I112) -> f4#(I106, I107, I108, 1 + I109, I110, I111, I112) [I111 <= 0 /\ I109 <= 0] f6#(I113, I114, I115, I116, I117, I118, I119) -> f5#(I113, I114, I115, I116, I117, I118, I119) [1 <= I116] f4#(I120, I121, I122, I123, I124, I125, I126) -> f1#(I120, I121, I122, I123, I124, I125, I126) [1 + I124 <= I125] f4#(I127, I128, I129, I130, I131, I132, I133) -> f1#(I127, I128, I129, I130, I131, I132, I133) [1 + I132 <= I131] f4#(I134, I135, I136, I137, I138, I139, I140) -> f2#(I134, I135, I136, I137, I138, I139, I140) [I139 <= I138 /\ I138 <= I139] f5#(I141, I142, I143, I144, I145, I146, I147) -> f4#(I141, I142, I143, 1 + I144, I145, I146, I147) [1 <= I146 /\ I144 <= 1] f5#(I148, I149, I150, I151, I152, I153, I154) -> f3#(I148, I149, I150, I151, I152, I153, I154) [2 <= I151] f3#(I155, I156, I157, I158, I159, I160, I161) -> f4#(I155, I156, I157, 1 + I158, I159, I160, I161) [I160 <= 0 /\ I158 <= 2] f3#(I162, I163, I164, I165, I166, I167, I168) -> f4#(I162, I163, 1 + I164, 0, I166, I167, I169) [0 <= I169 /\ I169 = I169 /\ 3 <= I165] f1#(I170, I171, I172, I173, I174, I175, I176) -> f2#(-1 + I170, I171, I172, I173, I174, I175, I176) R = f16(x1, x2, x3, x4, x5, x6, x7) -> f15(x1, x2, x3, x4, x5, x6, x7) f15(I0, I1, I2, I3, I4, I5, I6) -> f2(rnd1, rnd2, 1, 0, 0, 0, rnd7) [rnd1 = rnd2 /\ 1 <= rnd2 /\ rnd2 = rnd2 /\ 0 <= rnd7 /\ rnd7 = rnd7] f11(I7, I8, I9, I10, I11, I12, I13) -> f13(I7, I8, I9, I10, rnd5, I12, I13) [rnd5 <= 1 /\ 0 <= rnd5 /\ rnd5 = rnd5 /\ 1 <= I7] f11(I14, I15, I16, I17, I18, I19, I20) -> f14(I14, I15, I16, I17, I18, I19, I20) [I14 <= 0] f13(I21, I22, I23, I24, I25, I26, I27) -> f12(I21, I22, I23, I24, I25, I26, I27) [I27 <= 0] f13(I28, I29, I30, I31, I32, I33, I34) -> f9(I28, I29, I30, I31, I32, I33, -1 + I34) [1 <= I34] f12(I35, I36, I37, I38, I39, I40, I41) -> f9(I35, I36, I37, 1 + I38, I39, I40, I41) [I39 <= 0 /\ I38 <= 0] f12(I42, I43, I44, I45, I46, I47, I48) -> f10(I42, I43, I44, I45, I46, I47, I48) [1 <= I45] f2(I49, I50, I51, I52, I53, I54, I55) -> f11(I49, I50, I51, I52, I53, I54, I55) f9(I56, I57, I58, I59, I60, I61, I62) -> f7(I56, I57, I58, I59, I60, rnd6, I62) [rnd6 <= 1 /\ 0 <= rnd6 /\ rnd6 = rnd6] f10(I63, I64, I65, I66, I67, I68, I69) -> f9(I63, I64, I65, 1 + I66, I67, I68, I69) [1 <= I67 /\ I66 <= 1] f10(I70, I71, I72, I73, I74, I75, I76) -> f8(I70, I71, I72, I73, I74, I75, I76) [2 <= I73] f8(I77, I78, I79, I80, I81, I82, I83) -> f9(I77, I78, I79, 1 + I80, I81, I82, I83) [I81 <= 0 /\ I80 <= 2] f8(I84, I85, I86, I87, I88, I89, I90) -> f9(I84, I85, 1 + I86, 0, I88, I89, I91) [0 <= I91 /\ I91 = I91 /\ 3 <= I87] f7(I92, I93, I94, I95, I96, I97, I98) -> f6(I92, I93, I94, I95, I96, I97, I98) [I98 <= 0] f7(I99, I100, I101, I102, I103, I104, I105) -> f4(I99, I100, I101, I102, I103, I104, -1 + I105) [1 <= I105] f6(I106, I107, I108, I109, I110, I111, I112) -> f4(I106, I107, I108, 1 + I109, I110, I111, I112) [I111 <= 0 /\ I109 <= 0] f6(I113, I114, I115, I116, I117, I118, I119) -> f5(I113, I114, I115, I116, I117, I118, I119) [1 <= I116] f4(I120, I121, I122, I123, I124, I125, I126) -> f1(I120, I121, I122, I123, I124, I125, I126) [1 + I124 <= I125] f4(I127, I128, I129, I130, I131, I132, I133) -> f1(I127, I128, I129, I130, I131, I132, I133) [1 + I132 <= I131] f4(I134, I135, I136, I137, I138, I139, I140) -> f2(I134, I135, I136, I137, I138, I139, I140) [I139 <= I138 /\ I138 <= I139] f5(I141, I142, I143, I144, I145, I146, I147) -> f4(I141, I142, I143, 1 + I144, I145, I146, I147) [1 <= I146 /\ I144 <= 1] f5(I148, I149, I150, I151, I152, I153, I154) -> f3(I148, I149, I150, I151, I152, I153, I154) [2 <= I151] f3(I155, I156, I157, I158, I159, I160, I161) -> f4(I155, I156, I157, 1 + I158, I159, I160, I161) [I160 <= 0 /\ I158 <= 2] f3(I162, I163, I164, I165, I166, I167, I168) -> f4(I162, I163, 1 + I164, 0, I166, I167, I169) [0 <= I169 /\ I169 = I169 /\ 3 <= I165] f1(I170, I171, I172, I173, I174, I175, I176) -> f2(-1 + I170, I171, I172, I173, I174, I175, I176) The dependency graph for this problem is: 0 -> 1 1 -> 7 2 -> 3, 4 3 -> 5, 6 4 -> 8 5 -> 8 6 -> 9, 10 7 -> 2 8 -> 13, 14 9 -> 8 10 -> 11, 12 11 -> 8 12 -> 8 13 -> 15, 16 14 -> 17, 18, 19 15 -> 17, 18, 19 16 -> 20, 21 17 -> 24 18 -> 24 19 -> 7 20 -> 17, 18, 19 21 -> 22, 23 22 -> 17, 18, 19 23 -> 17, 18, 19 24 -> 7 Where: 0) f16#(x1, x2, x3, x4, x5, x6, x7) -> f15#(x1, x2, x3, x4, x5, x6, x7) 1) f15#(I0, I1, I2, I3, I4, I5, I6) -> f2#(rnd1, rnd2, 1, 0, 0, 0, rnd7) [rnd1 = rnd2 /\ 1 <= rnd2 /\ rnd2 = rnd2 /\ 0 <= rnd7 /\ rnd7 = rnd7] 2) f11#(I7, I8, I9, I10, I11, I12, I13) -> f13#(I7, I8, I9, I10, rnd5, I12, I13) [rnd5 <= 1 /\ 0 <= rnd5 /\ rnd5 = rnd5 /\ 1 <= I7] 3) f13#(I21, I22, I23, I24, I25, I26, I27) -> f12#(I21, I22, I23, I24, I25, I26, I27) [I27 <= 0] 4) f13#(I28, I29, I30, I31, I32, I33, I34) -> f9#(I28, I29, I30, I31, I32, I33, -1 + I34) [1 <= I34] 5) f12#(I35, I36, I37, I38, I39, I40, I41) -> f9#(I35, I36, I37, 1 + I38, I39, I40, I41) [I39 <= 0 /\ I38 <= 0] 6) f12#(I42, I43, I44, I45, I46, I47, I48) -> f10#(I42, I43, I44, I45, I46, I47, I48) [1 <= I45] 7) f2#(I49, I50, I51, I52, I53, I54, I55) -> f11#(I49, I50, I51, I52, I53, I54, I55) 8) f9#(I56, I57, I58, I59, I60, I61, I62) -> f7#(I56, I57, I58, I59, I60, rnd6, I62) [rnd6 <= 1 /\ 0 <= rnd6 /\ rnd6 = rnd6] 9) f10#(I63, I64, I65, I66, I67, I68, I69) -> f9#(I63, I64, I65, 1 + I66, I67, I68, I69) [1 <= I67 /\ I66 <= 1] 10) f10#(I70, I71, I72, I73, I74, I75, I76) -> f8#(I70, I71, I72, I73, I74, I75, I76) [2 <= I73] 11) f8#(I77, I78, I79, I80, I81, I82, I83) -> f9#(I77, I78, I79, 1 + I80, I81, I82, I83) [I81 <= 0 /\ I80 <= 2] 12) f8#(I84, I85, I86, I87, I88, I89, I90) -> f9#(I84, I85, 1 + I86, 0, I88, I89, I91) [0 <= I91 /\ I91 = I91 /\ 3 <= I87] 13) f7#(I92, I93, I94, I95, I96, I97, I98) -> f6#(I92, I93, I94, I95, I96, I97, I98) [I98 <= 0] 14) f7#(I99, I100, I101, I102, I103, I104, I105) -> f4#(I99, I100, I101, I102, I103, I104, -1 + I105) [1 <= I105] 15) f6#(I106, I107, I108, I109, I110, I111, I112) -> f4#(I106, I107, I108, 1 + I109, I110, I111, I112) [I111 <= 0 /\ I109 <= 0] 16) f6#(I113, I114, I115, I116, I117, I118, I119) -> f5#(I113, I114, I115, I116, I117, I118, I119) [1 <= I116] 17) f4#(I120, I121, I122, I123, I124, I125, I126) -> f1#(I120, I121, I122, I123, I124, I125, I126) [1 + I124 <= I125] 18) f4#(I127, I128, I129, I130, I131, I132, I133) -> f1#(I127, I128, I129, I130, I131, I132, I133) [1 + I132 <= I131] 19) f4#(I134, I135, I136, I137, I138, I139, I140) -> f2#(I134, I135, I136, I137, I138, I139, I140) [I139 <= I138 /\ I138 <= I139] 20) f5#(I141, I142, I143, I144, I145, I146, I147) -> f4#(I141, I142, I143, 1 + I144, I145, I146, I147) [1 <= I146 /\ I144 <= 1] 21) f5#(I148, I149, I150, I151, I152, I153, I154) -> f3#(I148, I149, I150, I151, I152, I153, I154) [2 <= I151] 22) f3#(I155, I156, I157, I158, I159, I160, I161) -> f4#(I155, I156, I157, 1 + I158, I159, I160, I161) [I160 <= 0 /\ I158 <= 2] 23) f3#(I162, I163, I164, I165, I166, I167, I168) -> f4#(I162, I163, 1 + I164, 0, I166, I167, I169) [0 <= I169 /\ I169 = I169 /\ 3 <= I165] 24) f1#(I170, I171, I172, I173, I174, I175, I176) -> f2#(-1 + I170, I171, I172, I173, I174, I175, I176) We have the following SCCs. { 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24 } DP problem for innermost termination. P = f11#(I7, I8, I9, I10, I11, I12, I13) -> f13#(I7, I8, I9, I10, rnd5, I12, I13) [rnd5 <= 1 /\ 0 <= rnd5 /\ rnd5 = rnd5 /\ 1 <= I7] f13#(I21, I22, I23, I24, I25, I26, I27) -> f12#(I21, I22, I23, I24, I25, I26, I27) [I27 <= 0] f13#(I28, I29, I30, I31, I32, I33, I34) -> f9#(I28, I29, I30, I31, I32, I33, -1 + I34) [1 <= I34] f12#(I35, I36, I37, I38, I39, I40, I41) -> f9#(I35, I36, I37, 1 + I38, I39, I40, I41) [I39 <= 0 /\ I38 <= 0] f12#(I42, I43, I44, I45, I46, I47, I48) -> f10#(I42, I43, I44, I45, I46, I47, I48) [1 <= I45] f2#(I49, I50, I51, I52, I53, I54, I55) -> f11#(I49, I50, I51, I52, I53, I54, I55) f9#(I56, I57, I58, I59, I60, I61, I62) -> f7#(I56, I57, I58, I59, I60, rnd6, I62) [rnd6 <= 1 /\ 0 <= rnd6 /\ rnd6 = rnd6] f10#(I63, I64, I65, I66, I67, I68, I69) -> f9#(I63, I64, I65, 1 + I66, I67, I68, I69) [1 <= I67 /\ I66 <= 1] f10#(I70, I71, I72, I73, I74, I75, I76) -> f8#(I70, I71, I72, I73, I74, I75, I76) [2 <= I73] f8#(I77, I78, I79, I80, I81, I82, I83) -> f9#(I77, I78, I79, 1 + I80, I81, I82, I83) [I81 <= 0 /\ I80 <= 2] f8#(I84, I85, I86, I87, I88, I89, I90) -> f9#(I84, I85, 1 + I86, 0, I88, I89, I91) [0 <= I91 /\ I91 = I91 /\ 3 <= I87] f7#(I92, I93, I94, I95, I96, I97, I98) -> f6#(I92, I93, I94, I95, I96, I97, I98) [I98 <= 0] f7#(I99, I100, I101, I102, I103, I104, I105) -> f4#(I99, I100, I101, I102, I103, I104, -1 + I105) [1 <= I105] f6#(I106, I107, I108, I109, I110, I111, I112) -> f4#(I106, I107, I108, 1 + I109, I110, I111, I112) [I111 <= 0 /\ I109 <= 0] f6#(I113, I114, I115, I116, I117, I118, I119) -> f5#(I113, I114, I115, I116, I117, I118, I119) [1 <= I116] f4#(I120, I121, I122, I123, I124, I125, I126) -> f1#(I120, I121, I122, I123, I124, I125, I126) [1 + I124 <= I125] f4#(I127, I128, I129, I130, I131, I132, I133) -> f1#(I127, I128, I129, I130, I131, I132, I133) [1 + I132 <= I131] f4#(I134, I135, I136, I137, I138, I139, I140) -> f2#(I134, I135, I136, I137, I138, I139, I140) [I139 <= I138 /\ I138 <= I139] f5#(I141, I142, I143, I144, I145, I146, I147) -> f4#(I141, I142, I143, 1 + I144, I145, I146, I147) [1 <= I146 /\ I144 <= 1] f5#(I148, I149, I150, I151, I152, I153, I154) -> f3#(I148, I149, I150, I151, I152, I153, I154) [2 <= I151] f3#(I155, I156, I157, I158, I159, I160, I161) -> f4#(I155, I156, I157, 1 + I158, I159, I160, I161) [I160 <= 0 /\ I158 <= 2] f3#(I162, I163, I164, I165, I166, I167, I168) -> f4#(I162, I163, 1 + I164, 0, I166, I167, I169) [0 <= I169 /\ I169 = I169 /\ 3 <= I165] f1#(I170, I171, I172, I173, I174, I175, I176) -> f2#(-1 + I170, I171, I172, I173, I174, I175, I176) R = f16(x1, x2, x3, x4, x5, x6, x7) -> f15(x1, x2, x3, x4, x5, x6, x7) f15(I0, I1, I2, I3, I4, I5, I6) -> f2(rnd1, rnd2, 1, 0, 0, 0, rnd7) [rnd1 = rnd2 /\ 1 <= rnd2 /\ rnd2 = rnd2 /\ 0 <= rnd7 /\ rnd7 = rnd7] f11(I7, I8, I9, I10, I11, I12, I13) -> f13(I7, I8, I9, I10, rnd5, I12, I13) [rnd5 <= 1 /\ 0 <= rnd5 /\ rnd5 = rnd5 /\ 1 <= I7] f11(I14, I15, I16, I17, I18, I19, I20) -> f14(I14, I15, I16, I17, I18, I19, I20) [I14 <= 0] f13(I21, I22, I23, I24, I25, I26, I27) -> f12(I21, I22, I23, I24, I25, I26, I27) [I27 <= 0] f13(I28, I29, I30, I31, I32, I33, I34) -> f9(I28, I29, I30, I31, I32, I33, -1 + I34) [1 <= I34] f12(I35, I36, I37, I38, I39, I40, I41) -> f9(I35, I36, I37, 1 + I38, I39, I40, I41) [I39 <= 0 /\ I38 <= 0] f12(I42, I43, I44, I45, I46, I47, I48) -> f10(I42, I43, I44, I45, I46, I47, I48) [1 <= I45] f2(I49, I50, I51, I52, I53, I54, I55) -> f11(I49, I50, I51, I52, I53, I54, I55) f9(I56, I57, I58, I59, I60, I61, I62) -> f7(I56, I57, I58, I59, I60, rnd6, I62) [rnd6 <= 1 /\ 0 <= rnd6 /\ rnd6 = rnd6] f10(I63, I64, I65, I66, I67, I68, I69) -> f9(I63, I64, I65, 1 + I66, I67, I68, I69) [1 <= I67 /\ I66 <= 1] f10(I70, I71, I72, I73, I74, I75, I76) -> f8(I70, I71, I72, I73, I74, I75, I76) [2 <= I73] f8(I77, I78, I79, I80, I81, I82, I83) -> f9(I77, I78, I79, 1 + I80, I81, I82, I83) [I81 <= 0 /\ I80 <= 2] f8(I84, I85, I86, I87, I88, I89, I90) -> f9(I84, I85, 1 + I86, 0, I88, I89, I91) [0 <= I91 /\ I91 = I91 /\ 3 <= I87] f7(I92, I93, I94, I95, I96, I97, I98) -> f6(I92, I93, I94, I95, I96, I97, I98) [I98 <= 0] f7(I99, I100, I101, I102, I103, I104, I105) -> f4(I99, I100, I101, I102, I103, I104, -1 + I105) [1 <= I105] f6(I106, I107, I108, I109, I110, I111, I112) -> f4(I106, I107, I108, 1 + I109, I110, I111, I112) [I111 <= 0 /\ I109 <= 0] f6(I113, I114, I115, I116, I117, I118, I119) -> f5(I113, I114, I115, I116, I117, I118, I119) [1 <= I116] f4(I120, I121, I122, I123, I124, I125, I126) -> f1(I120, I121, I122, I123, I124, I125, I126) [1 + I124 <= I125] f4(I127, I128, I129, I130, I131, I132, I133) -> f1(I127, I128, I129, I130, I131, I132, I133) [1 + I132 <= I131] f4(I134, I135, I136, I137, I138, I139, I140) -> f2(I134, I135, I136, I137, I138, I139, I140) [I139 <= I138 /\ I138 <= I139] f5(I141, I142, I143, I144, I145, I146, I147) -> f4(I141, I142, I143, 1 + I144, I145, I146, I147) [1 <= I146 /\ I144 <= 1] f5(I148, I149, I150, I151, I152, I153, I154) -> f3(I148, I149, I150, I151, I152, I153, I154) [2 <= I151] f3(I155, I156, I157, I158, I159, I160, I161) -> f4(I155, I156, I157, 1 + I158, I159, I160, I161) [I160 <= 0 /\ I158 <= 2] f3(I162, I163, I164, I165, I166, I167, I168) -> f4(I162, I163, 1 + I164, 0, I166, I167, I169) [0 <= I169 /\ I169 = I169 /\ 3 <= I165] f1(I170, I171, I172, I173, I174, I175, I176) -> f2(-1 + I170, I171, I172, I173, I174, I175, I176)