(benchmark bad_echos_ascend.induction.smt
  :source {
The Formal Verification of a Reintegration Protocol. Author: Lee Pike. Website: http://www.cs.indiana.edu/~lepike/pub_pages/emsoft.html.

This benchmark was automatically translated into SMT-LIB format from
CVC format using CVC Lite
}
  :status unsat
:category { industrial }
:difficulty { 0 }
  :logic QF_LRA
  
  :extrafuns ((x_0 Real))
  :extrafuns ((x_1 Real))
  :extrafuns ((x_2 Real))
  :extrafuns ((x_3 Real))
  :extrafuns ((x_4 Real))
  :extrafuns ((x_5 Real))
  :extrafuns ((x_6 Real))
  :extrapreds ((x_7))
  :extrapreds ((x_8))
  :extrafuns ((x_9 Real))
  :extrafuns ((x_10 Real))
  :extrapreds ((x_11))
  :extrapreds ((x_12))
  :extrapreds ((x_13))
  :extrapreds ((x_14))
  :extrapreds ((x_15))
  :extrapreds ((x_16))
  :extrapreds ((x_17))
  :extrapreds ((x_18))
  :extrapreds ((x_19))
  :extrapreds ((x_20))
  :extrapreds ((x_21))
  :extrapreds ((x_22))
  :extrafuns ((x_23 Real))
  :extrafuns ((x_24 Real))
  :extrafuns ((x_25 Real))
  :extrafuns ((x_26 Real))
  :extrafuns ((x_27 Real))
  :extrafuns ((x_28 Real))
  :extrafuns ((x_29 Real))
  :extrapreds ((x_30))
  :extrapreds ((x_31))
  :extrapreds ((x_32))
  :extrapreds ((x_33))
  :extrapreds ((x_34))
  :extrapreds ((x_35))
  :extrapreds ((x_36))
  :extrapreds ((x_37))
  :extrapreds ((x_38))
  :extrapreds ((x_39))
  :extrafuns ((x_40 Real))
  :extrafuns ((x_41 Real))
  :extrafuns ((x_42 Real))
  :extrafuns ((x_43 Real))
  :extrafuns ((x_44 Real))
  :extrafuns ((x_45 Real))
  :extrafuns ((x_46 Real))
  :extrafuns ((x_47 Real))
  :extrafuns ((x_48 Real))
  :extrafuns ((x_49 Real))
  :extrafuns ((x_50 Real))
  :extrafuns ((x_51 Real))
  :extrafuns ((x_52 Real))
  :extrapreds ((x_53))
  :extrafuns ((x_54 Real))
  :extrafuns ((x_55 Real))
  :extrafuns ((x_56 Real))
  :formula
(let (?cvcl_26 (+ x_3 x_4)) (flet ($cvcl_71 (<= x_5 x_6)) (flet ($cvcl_54 (iff x_7 x_8)) (flet ($cvcl_10 (= x_9 0)) (flet ($cvcl_11 (< x_5 x_10)) (flet ($cvcl_38 (= x_6 x_5)) (flet ($cvcl_61 $cvcl_38) (flet ($cvcl_62 (= x_9 2)) (flet ($cvcl_64 (iff x_11 x_12)) (flet ($cvcl_65 (and (iff x_13 x_14) (iff x_15 x_16))) (flet ($cvcl_52 (iff x_17 x_18)) (flet ($cvcl_53 (and (iff x_19 x_20) (iff x_21 x_22))) (flet ($cvcl_66 (= x_23 x_24)) (flet ($cvcl_67 (and (= x_25 x_26) (= x_27 x_28))) (flet ($cvcl_21 (= x_29 x_10)) (flet ($cvcl_51 (iff x_30 x_31)) (flet ($cvcl_49 (iff x_32 x_33)) (flet ($cvcl_50 (and (iff x_34 x_35) (iff x_36 x_37))) (flet ($cvcl_68 (iff x_38 x_39)) (let (?cvcl_72 (- x_40 x_3)) (flet ($cvcl_42 (= x_9 1)) (let (?cvcl_46 (+ x_4 x_3)) (flet ($cvcl_41 (<= x_0 x_6)) (flet ($cvcl_48 (iff x_11 (or x_12  (and $cvcl_41 x_33) ))) (flet ($cvcl_28 (<= x_43 ?cvcl_26)) (flet ($cvcl_30 (<= x_44 ?cvcl_26)) (flet ($cvcl_22 (<= x_43 x_4)) (flet ($cvcl_27 $cvcl_22) (flet ($cvcl_24 (<= x_44 x_4)) (flet ($cvcl_29 $cvcl_24) (flet ($cvcl_23 (not x_14)) (flet ($cvcl_33 $cvcl_23) (flet ($cvcl_55 (< x_43 x_5)) (flet ($cvcl_56 (= x_6 x_43)) (flet ($cvcl_25 (not x_16)) (flet ($cvcl_35 $cvcl_25) (flet ($cvcl_57 (< x_44 x_5)) (flet ($cvcl_58 (= x_6 x_44)) (flet ($cvcl_14 (not x_12)) (flet ($cvcl_37 $cvcl_14) (flet ($cvcl_73 (not $cvcl_71)) (flet ($cvcl_32 (not x_35)) (flet ($cvcl_34 (not x_37)) (flet ($cvcl_36 (not x_33)) (flet ($cvcl_39 (and (not $cvcl_22) (<= x_43 x_6))) (flet ($cvcl_40 (and (not $cvcl_24) (<= x_44 x_6))) (flet ($cvcl_47 (and (iff x_13 (or x_14  (and $cvcl_39 x_35) )) (iff x_15 (or x_16  (and $cvcl_40 x_37) )))) (flet ($cvcl_31 (<= x_0 ?cvcl_26)) (flet ($cvcl_59 (< x_0 x_5)) (flet ($cvcl_60 (= x_6 x_0)) (flet ($cvcl_63 (<= (ite x_18 (ite x_22 (ite x_20 3 2) x_41) (ite x_22 x_41 (ite x_20 1 0))) (* (* (ite x_12 (ite x_16 (ite x_14 0 1) x_42) (ite x_16 x_42 (ite x_14 2 3))) 1) (/ 1 2)))) (flet ($cvcl_74 $cvcl_41) (flet ($cvcl_43 (not $cvcl_28)) (flet ($cvcl_44 (not $cvcl_30)) (flet ($cvcl_0 (and (not (<= x_0 x_4)) $cvcl_41)) (flet ($cvcl_1 $cvcl_0) (flet ($cvcl_4 (and (not (<= x_1 x_4)) (<= x_1 x_6))) (flet ($cvcl_2 $cvcl_4) (flet ($cvcl_5 $cvcl_0) (flet ($cvcl_6 $cvcl_4) (flet ($cvcl_45 (not $cvcl_31)) (flet ($cvcl_20 (= x_23 0)) (flet ($cvcl_9 (= x_23 3)) (flet ($cvcl_16 (= x_25 0)) (flet ($cvcl_7 (= x_25 3)) (flet ($cvcl_18 (= x_27 0)) (flet ($cvcl_8 (= x_27 3)) (flet ($cvcl_3 (and (not (<= x_2 x_4)) (<= x_2 x_6))) (flet ($cvcl_12 (= x_25 (ite $cvcl_23 (ite (and $cvcl_39 (< x_26 3)) (+ x_26 1) x_26) x_26))) (flet ($cvcl_13 (= x_27 (ite $cvcl_25 (ite (and $cvcl_40 (< x_28 3)) (+ x_28 1) x_28) x_28))) (flet ($cvcl_15 (or x_14  $cvcl_7 )) (flet ($cvcl_17 (or x_16  $cvcl_8 )) (flet ($cvcl_19 (or x_12  $cvcl_9 )) (flet ($cvcl_69 (= x_49 0)) (flet ($cvcl_70 (= x_49 1)) (flet ($cvcl_75 (< x_54 x_55)) (flet ($cvcl_76 (< x_55 x_56)) (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (and (<= x_49 2) (>= x_49 0)) (<= x_9 2)) (>= x_9 0)) (>= x_0 0)) (>= x_1 0)) (>= x_2 0)) (> x_3 0)) (>= x_3 0)) (>= x_4 0)) (>= x_5 0)) (>= x_6 0)) (>= x_10 0)) (or (or (or $cvcl_20  (= x_23 1) )  (= x_23 2) )  $cvcl_9 )) (not (< x_23 0))) (<= x_23 3)) (or (or (or (= x_24 0)  (= x_24 1) )  (= x_24 2) )  (= x_24 3) )) (not (< x_24 0))) (<= x_24 3)) (or (or (or $cvcl_16  (= x_25 1) )  (= x_25 2) )  $cvcl_7 )) (not (< x_25 0))) (<= x_25 3)) (or (or (or (= x_26 0)  (= x_26 1) )  (= x_26 2) )  (= x_26 3) )) (not (< x_26 0))) (<= x_26 3)) (or (or (or $cvcl_18  (= x_27 1) )  (= x_27 2) )  $cvcl_8 )) (not (< x_27 0))) (<= x_27 3)) (or (or (or (= x_28 0)  (= x_28 1) )  (= x_28 2) )  (= x_28 3) )) (not (< x_28 0))) (<= x_28 3)) (>= x_29 0)) (>= x_40 0)) (>= x_43 0)) (>= x_44 0)) (>= x_50 0)) (>= x_51 0)) (not (<= x_52 (* x_3 3)))) (>= x_52 0)) (>= x_54 0)) (>= x_55 0)) (>= x_56 0)) (< x_0 x_1)) (< x_1 x_2)) (= x_41 (ite x_20 2 1))) (= x_42 (ite x_14 1 2))) (= x_45 (ite $cvcl_1 2 1))) (= x_46 (ite $cvcl_5 2 1))) (= x_47 (+ (ite $cvcl_3 (ite $cvcl_2 (ite $cvcl_1 3 2) x_45) (ite $cvcl_2 x_45 (ite $cvcl_1 1 0))) x_24))) (= x_48 (+ (ite $cvcl_3 (ite $cvcl_6 (ite $cvcl_5 3 2) x_46) (ite $cvcl_6 x_46 (ite $cvcl_5 1 0))) x_24))) (or (or (and (and (and (and (and (and (or (and (and (and (and (and (and (and (and (and (and $cvcl_10 $cvcl_11) $cvcl_38) $cvcl_12) $cvcl_13) (= x_23 (ite $cvcl_14 (ite (not (< x_47 3)) 3 x_47) x_24))) (iff x_13 $cvcl_15)) (iff x_15 $cvcl_17)) (iff x_11 $cvcl_19)) $cvcl_51) $cvcl_21)  (and (and (and (and (and (and (and (and (and (and $cvcl_10 (not $cvcl_11)) x_30) (= x_6 x_10)) $cvcl_12) $cvcl_13) (= x_23 (ite $cvcl_14 (ite (not (< x_48 3)) 3 x_48) x_24))) (iff x_13 (or $cvcl_15  $cvcl_16 ))) (iff x_15 (or $cvcl_17  $cvcl_18 ))) (iff x_11 (or $cvcl_19  $cvcl_20 ))) $cvcl_21) ) $cvcl_49) $cvcl_50) $cvcl_68) $cvcl_52) $cvcl_53) $cvcl_54)  (and (and (and (and (and (and (and (or (and (and (and (and (and (and (and (and (and (and (and $cvcl_42 (or (or (and (and (and (not $cvcl_27) $cvcl_33) $cvcl_32) $cvcl_28)  (and (and (and (not $cvcl_29) $cvcl_35) $cvcl_34) $cvcl_30) )  (and (and $cvcl_37 $cvcl_36) $cvcl_31) )) (not x_38)) (or (or (or (or $cvcl_27  $cvcl_43 )  x_35 )  x_14 )  (not (< x_6 x_43)) )) (or (or (or (or $cvcl_29  $cvcl_44 )  x_37 )  x_16 )  (not (< x_6 x_44)) )) (or (or (or $cvcl_45  x_33 )  x_12 )  (not (< x_6 x_0)) )) (or (or (or (and (and (and (and $cvcl_32 $cvcl_33) $cvcl_28) $cvcl_55) $cvcl_56)  (and (and (and (and $cvcl_34 $cvcl_35) $cvcl_30) $cvcl_57) $cvcl_58) )  (and (and (and (and $cvcl_36 $cvcl_37) $cvcl_31) $cvcl_59) $cvcl_60) )  (and (< x_5 ?cvcl_46) $cvcl_61) )) (iff x_34 (or x_35  $cvcl_39 ))) (iff x_36 (or x_37  $cvcl_40 ))) (iff x_32 (or x_33  $cvcl_41 ))) $cvcl_47) $cvcl_48)  (and (and (and (and (and (and (and (and (and $cvcl_42 (or (or (or $cvcl_27  x_35 )  x_14 )  $cvcl_43 )) (or (or (or $cvcl_29  x_37 )  x_16 )  $cvcl_44 )) (or (or x_33  x_12 )  $cvcl_45 )) x_38) (= x_6 ?cvcl_46)) $cvcl_47) $cvcl_48) $cvcl_49) $cvcl_50) ) $cvcl_66) $cvcl_67) $cvcl_21) $cvcl_51) $cvcl_52) $cvcl_53) $cvcl_54) )  (and (and (and (and (and (and (and (or (and (and (and (and (and (and (and (and (and (and (and $cvcl_62 $cvcl_63) (not x_7)) (or (or (or $cvcl_27  x_20 )  x_14 )  (<= x_6 x_43) )) (or (or (or $cvcl_29  x_22 )  x_16 )  (<= x_6 x_44) )) (or (or x_18  x_12 )  (<= x_6 x_0) )) (or (or (or (and (and (and (and (not x_20) $cvcl_33) (< x_4 x_43)) $cvcl_55) $cvcl_56)  (and (and (and (and (not x_22) $cvcl_35) (< x_4 x_44)) $cvcl_57) $cvcl_58) )  (and (and (and (not x_18) $cvcl_37) $cvcl_59) $cvcl_60) )  $cvcl_61 )) (iff x_19 (or x_20  (= x_43 x_6) ))) (iff x_21 (or x_22  (= x_44 x_6) ))) (iff x_17 (or x_18  (= x_0 x_6) ))) $cvcl_64) $cvcl_65)  (and (and (and (and (and (and (and $cvcl_62 (not $cvcl_63)) x_7) $cvcl_64) $cvcl_65) (= x_6 x_4)) $cvcl_52) $cvcl_53) ) $cvcl_66) $cvcl_67) $cvcl_21) $cvcl_51) $cvcl_49) $cvcl_50) $cvcl_68) )) (or (or (and $cvcl_69 (= x_9 (ite (not x_31) x_49 1)))  (and $cvcl_70 (= x_9 (ite (not x_39) x_49 2))) )  (and (and (not $cvcl_69) (not $cvcl_70)) (= x_9 x_49)) )) (or (and (and $cvcl_71 (not (<= x_40 x_50))) (not (<= x_50 ?cvcl_72)))  (and $cvcl_73 (= x_50 x_43)) )) (or (and (and $cvcl_71 (not (<= x_40 x_51))) (not (<= x_51 ?cvcl_72)))  (and $cvcl_73 (= x_51 x_44)) )) (or (and (and $cvcl_71 (= x_40 (+ x_5 x_52))) x_53)  (and (and $cvcl_73 (not x_53)) (= x_40 x_5)) )) (or (and (and (and (and $cvcl_74 (not (<= x_54 x_6))) (not (<= x_55 x_6))) $cvcl_75) $cvcl_76)  (and (and (and (not $cvcl_74) (= x_54 x_0)) (= x_55 x_1)) (= x_56 x_2)) )) (or (not $cvcl_75)  (not $cvcl_76) )))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
)