Any way to overcome high order enclosure error?

[SunandanAdhikary]

High Order Enclosure Error: minimal time step reached. Cannot integrate.
the set: {[0,0],[0,0],[1,1],[2,2]}
current time: [0,1.01496e-06]
time step: [1.01496e-06,1.01496e-06]

Getting this error while trying to solve my smt script. (can't attach the file type so pasting it here)

(set-logic QF_NRA_ODE)
(declare-fun x () Real [-100, 100])
(declare-fun v () Real [0, 10000])
(declare-fun u () Real [-100, 100])
(declare-fun lt () Real [0.000000, 0.1])
(declare-fun gt () Real [0.000000, 20])
(declare-fun state_x_0 () Real [-100, 100] )
(declare-fun next_u_0 () Real [-100, 100] )
(declare-fun x_0_0 () Real [-100, 100])
(declare-fun x_0_t () Real [-100, 100])
(declare-fun v_0_0 () Real [0, 10000])
(declare-fun v_0_t () Real [0, 10000])
(declare-fun u_0_0 () Real [-100, 100])
(declare-fun u_0_t () Real [-100, 100])
(declare-fun lt_0_0 () Real [0.000000, 0.1])
(declare-fun lt_0_t () Real [0.000000, 0.1])
(declare-fun gt_0_0 () Real [0.000000, 20])
(declare-fun gt_0_t () Real [0.000000, 20])
(declare-fun time_0 () Real [0.001, 0.001])
(declare-fun mode_0 () Real [1.000000, 1.000000])
(declare-fun Noise__-1 () Real [0, 0])
(declare-fun state_x_1 () Real [-100, 100] )
(declare-fun next_u_1 () Real [-100, 100] )
(declare-fun x_1_0 () Real [-100, 100])
(declare-fun x_1_t () Real [-100, 100])
(declare-fun v_1_0 () Real [0, 10000])
(declare-fun v_1_t () Real [0, 10000])
(declare-fun u_1_0 () Real [-100, 100])
(declare-fun u_1_t () Real [-100, 100])
(declare-fun lt_1_0 () Real [0.000000, 0.1])
(declare-fun lt_1_t () Real [0.000000, 0.1])
(declare-fun gt_1_0 () Real [0.000000, 20])
(declare-fun gt_1_t () Real [0.000000, 20])
(declare-fun time_1 () Real [0.1, 0.1])
(declare-fun mode_1 () Real [1.000000, 1.000000])
(declare-fun state_x_2 () Real [-100, 100] )
(declare-fun next_u_2 () Real [-100, 100] )
(declare-fun x_2_0 () Real [-100, 100])
(declare-fun x_2_t () Real [-100, 100])
(declare-fun v_2_0 () Real [0, 10000])
(declare-fun v_2_t () Real [0, 10000])
(declare-fun u_2_0 () Real [-100, 100])
(declare-fun u_2_t () Real [-100, 100])
(declare-fun lt_2_0 () Real [0.000000, 0.1])
(declare-fun lt_2_t () Real [0.000000, 0.1])
(declare-fun gt_2_0 () Real [0.000000, 20])
(declare-fun gt_2_t () Real [0.000000, 20])
(declare-fun time_2 () Real [0.1, 0.1])
(declare-fun mode_2 () Real [1.000000, 1.000000])
(declare-fun state_x_3 () Real [-100, 100] )
(declare-fun next_u_3 () Real [-100, 100] )
(declare-fun x_3_0 () Real [-100, 100])
(declare-fun x_3_t () Real [-100, 100])
(declare-fun v_3_0 () Real [0, 10000])
(declare-fun v_3_t () Real [0, 10000])
(declare-fun u_3_0 () Real [-100, 100])
(declare-fun u_3_t () Real [-100, 100])
(declare-fun lt_3_0 () Real [0.000000, 0.1])
(declare-fun lt_3_t () Real [0.000000, 0.1])
(declare-fun gt_3_0 () Real [0.000000, 20])
(declare-fun gt_3_t () Real [0.000000, 20])
(declare-fun time_3 () Real [0.1, 0.1])
(declare-fun mode_3 () Real [1.000000, 1.000000])
(declare-fun state_x_4 () Real [-100, 100] )
(declare-fun next_u_4 () Real [-100, 100] )
(declare-fun x_4_0 () Real [-100, 100])
(declare-fun x_4_t () Real [-100, 100])
(declare-fun v_4_0 () Real [0, 10000])
(declare-fun v_4_t () Real [0, 10000])
(declare-fun u_4_0 () Real [-100, 100])
(declare-fun u_4_t () Real [-100, 100])
(declare-fun lt_4_0 () Real [0.000000, 0.1])
(declare-fun lt_4_t () Real [0.000000, 0.1])
(declare-fun gt_4_0 () Real [0.000000, 20])
(declare-fun gt_4_t () Real [0.000000, 20])
(declare-fun time_4 () Real [0.1, 0.1])
(declare-fun mode_4 () Real [1.000000, 1.000000])
(declare-fun state_x_5 () Real [-100, 100] )
(declare-fun next_u_5 () Real [-100, 100] )
(declare-fun x_5_0 () Real [-100, 100])
(declare-fun x_5_t () Real [-100, 100])
(declare-fun v_5_0 () Real [0, 10000])
(declare-fun v_5_t () Real [0, 10000])
(declare-fun u_5_0 () Real [-100, 100])
(declare-fun u_5_t () Real [-100, 100])
(declare-fun lt_5_0 () Real [0.000000, 0.1])
(declare-fun lt_5_t () Real [0.000000, 0.1])
(declare-fun gt_5_0 () Real [0.000000, 20])
(declare-fun gt_5_t () Real [0.000000, 20])
(declare-fun time_5 () Real [0.1, 0.1])
(declare-fun mode_5 () Real [1.000000, 1.000000])
(declare-fun state_x_6 () Real [-100, 100] )
(declare-fun next_u_6 () Real [-100, 100] )
(declare-fun x_6_0 () Real [-100, 100])
(declare-fun x_6_t () Real [-100, 100])
(declare-fun v_6_0 () Real [0, 10000])
(declare-fun v_6_t () Real [0, 10000])
(declare-fun u_6_0 () Real [-100, 100])
(declare-fun u_6_t () Real [-100, 100])
(declare-fun lt_6_0 () Real [0.000000, 0.1])
(declare-fun lt_6_t () Real [0.000000, 0.1])
(declare-fun gt_6_0 () Real [0.000000, 20])
(declare-fun gt_6_t () Real [0.000000, 20])
(declare-fun time_6 () Real [0.1, 0.1])
(declare-fun mode_6 () Real [1.000000, 1.000000])
(declare-fun state_x_7 () Real [-100, 100] )
(declare-fun next_u_7 () Real [-100, 100] )
(declare-fun x_7_0 () Real [-100, 100])
(declare-fun x_7_t () Real [-100, 100])
(declare-fun v_7_0 () Real [0, 10000])
(declare-fun v_7_t () Real [0, 10000])
(declare-fun u_7_0 () Real [-100, 100])
(declare-fun u_7_t () Real [-100, 100])
(declare-fun lt_7_0 () Real [0.000000, 0.1])
(declare-fun lt_7_t () Real [0.000000, 0.1])
(declare-fun gt_7_0 () Real [0.000000, 20])
(declare-fun gt_7_t () Real [0.000000, 20])
(declare-fun time_7 () Real [0.1, 0.1])
(declare-fun mode_7 () Real [1.000000, 1.000000])
(declare-fun state_x_8 () Real [-100, 100] )
(declare-fun next_u_8 () Real [-100, 100] )
(declare-fun x_8_0 () Real [-100, 100])
(declare-fun x_8_t () Real [-100, 100])
(declare-fun v_8_0 () Real [0, 10000])
(declare-fun v_8_t () Real [0, 10000])
(declare-fun u_8_0 () Real [-100, 100])
(declare-fun u_8_t () Real [-100, 100])
(declare-fun lt_8_0 () Real [0.000000, 0.1])
(declare-fun lt_8_t () Real [0.000000, 0.1])
(declare-fun gt_8_0 () Real [0.000000, 20])
(declare-fun gt_8_t () Real [0.000000, 20])
(declare-fun time_8 () Real [0.1, 0.1])
(declare-fun mode_8 () Real [1.000000, 1.000000])
(declare-fun state_x_9 () Real [-100, 100] )
(declare-fun next_u_9 () Real [-100, 100] )
(declare-fun x_9_0 () Real [-100, 100])
(declare-fun x_9_t () Real [-100, 100])
(declare-fun v_9_0 () Real [0, 10000])
(declare-fun v_9_t () Real [0, 10000])
(declare-fun u_9_0 () Real [-100, 100])
(declare-fun u_9_t () Real [-100, 100])
(declare-fun lt_9_0 () Real [0.000000, 0.1])
(declare-fun lt_9_t () Real [0.000000, 0.1])
(declare-fun gt_9_0 () Real [0.000000, 20])
(declare-fun gt_9_t () Real [0.000000, 20])
(declare-fun time_9 () Real [0.1, 0.1])
(declare-fun mode_9 () Real [1.000000, 1.000000])
(declare-fun state_x_10 () Real [-100, 100] )
(declare-fun next_u_10 () Real [-100, 100] )
(declare-fun x_10_0 () Real [-100, 100])
(declare-fun x_10_t () Real [-100, 100])
(declare-fun v_10_0 () Real [0, 10000])
(declare-fun v_10_t () Real [0, 10000])
(declare-fun u_10_0 () Real [-100, 100])
(declare-fun u_10_t () Real [-100, 100])
(declare-fun lt_10_0 () Real [0.000000, 0.1])
(declare-fun lt_10_t () Real [0.000000, 0.1])
(declare-fun gt_10_0 () Real [0.000000, 20])
(declare-fun gt_10_t () Real [0.000000, 20])
(declare-fun time_10 () Real [0.000000, 0.1])
(declare-fun mode_10 () Real [1.000000, 1.000000])
(define-ode flow_1 ((= d/dt[gt] 1) (= d/dt[lt] 1) (= d/dt[x] (+(- x) u)) (= d/dt[v] (-((- x)(- x u))( u(- u x)))) (= d/dt[u] 0)))
(assert (and (= lt_0_0 0) (= gt_0_0 0) (= v_0_0 2 )(= u_0_0 1 )(= x_0_0 1 )(= mode_0 1)
(= lt_0_t (+ lt_0_0 (* 1 0.001))) (= gt_0_t (+ gt_0_0 (* 1 0.001))) (= u_0_t (+ u_0_0 (* 0 0.001)))
(= [gt_0_t lt_0_t x_0_t v_0_t u_0_t ] (integral 0. time_0 [gt_0_0 lt_0_0 x_0_0 v_0_0 u_0_0 ] flow_1))
(= mode_1 1) (= lt_0_t 0.001) (= gt_1_0 gt_0_t) (= lt_1_0 0)
(= x_1_0 x_0_t)(= v_1_0 v_0_t)
(= state_x_0 x_0_t )
(= next_u_1 (- -0 state_x_0 ) )

(= next_u_1 u_1_0 )
(= lt_1_t (+ lt_1_0 (* 1 time_1 ))) (= gt_1_t (+ gt_1_0 (* 1 time_1 ))) (= u_1_t (+ u_1_0 (* 0 time_1 )))
(= [gt_1_t lt_1_t x_1_t v_1_t u_1_t ] (integral 0. time_1 [gt_1_0 lt_1_0 x_1_0 v_1_0 u_1_0 ] flow_1))
(<= lt_1_t 0.1) (<= lt_1_0 0.1) (= mode_2 1)
(= mode_2 1) (<= lt_1_t 0.1) (= gt_2_0 gt_1_t) (= lt_2_0 0)
(= x_2_0 x_1_t)(= v_2_0 v_1_t)
(= state_x_1 x_1_t )
(= next_u_2 (- -0 state_x_1 ) )

(= next_u_2 u_2_0 )
(= lt_2_t (+ lt_2_0 (* 1 time_2 ))) (= gt_2_t (+ gt_2_0 (* 1 time_2 ))) (= u_2_t (+ u_2_0 (* 0 time_2 )))
(= [gt_2_t lt_2_t x_2_t v_2_t u_2_t ] (integral 0. time_2 [gt_2_0 lt_2_0 x_2_0 v_2_0 u_2_0 ] flow_1))
(<= lt_2_t 0.1) (<= lt_2_0 0.1) (= mode_3 1)
(= mode_3 1) (<= lt_2_t 0.1) (= gt_3_0 gt_2_t) (= lt_3_0 0)
(= x_3_0 x_2_t)(= v_3_0 v_2_t)
(= state_x_2 x_2_t )
(= next_u_3 (- -0 state_x_2 ) )

(= next_u_3 u_3_0 )
(= lt_3_t (+ lt_3_0 (* 1 time_3 ))) (= gt_3_t (+ gt_3_0 (* 1 time_3 ))) (= u_3_t (+ u_3_0 (* 0 time_3 )))
(= [gt_3_t lt_3_t x_3_t v_3_t u_3_t ] (integral 0. time_3 [gt_3_0 lt_3_0 x_3_0 v_3_0 u_3_0 ] flow_1))
(<= lt_3_t 0.1) (<= lt_3_0 0.1) (= mode_4 1)
(= mode_4 1) (<= lt_3_t 0.1) (= gt_4_0 gt_3_t) (= lt_4_0 0)
(= x_4_0 x_3_t)(= v_4_0 v_3_t)
(= state_x_3 x_3_t )
(= next_u_4 (- -0 state_x_3 ) )

(= next_u_4 u_4_0 )
(= lt_4_t (+ lt_4_0 (* 1 time_4 ))) (= gt_4_t (+ gt_4_0 (* 1 time_4 ))) (= u_4_t (+ u_4_0 (* 0 time_4 )))
(= [gt_4_t lt_4_t x_4_t v_4_t u_4_t ] (integral 0. time_4 [gt_4_0 lt_4_0 x_4_0 v_4_0 u_4_0 ] flow_1))
(<= lt_4_t 0.1) (<= lt_4_0 0.1) (= mode_5 1)
(= mode_5 1) (<= lt_4_t 0.1) (= gt_5_0 gt_4_t) (= lt_5_0 0)
(= x_5_0 x_4_t)(= v_5_0 v_4_t)
(= state_x_4 x_4_t )
(= next_u_5 (- -0 state_x_4 ) )

(= next_u_5 u_5_0 )
(= lt_5_t (+ lt_5_0 (* 1 time_5 ))) (= gt_5_t (+ gt_5_0 (* 1 time_5 ))) (= u_5_t (+ u_5_0 (* 0 time_5 )))
(= [gt_5_t lt_5_t x_5_t v_5_t u_5_t ] (integral 0. time_5 [gt_5_0 lt_5_0 x_5_0 v_5_0 u_5_0 ] flow_1))
(<= lt_5_t 0.1) (<= lt_5_0 0.1) (= mode_6 1)
(= mode_6 1) (<= lt_5_t 0.1) (= gt_6_0 gt_5_t) (= lt_6_0 0)
(= x_6_0 x_5_t)(= v_6_0 v_5_t)
(= state_x_5 x_5_t )
(= next_u_6 (- -0 state_x_5 ) )

(= next_u_6 u_6_0 )
(= lt_6_t (+ lt_6_0 (* 1 time_6 ))) (= gt_6_t (+ gt_6_0 (* 1 time_6 ))) (= u_6_t (+ u_6_0 (* 0 time_6 )))
(= [gt_6_t lt_6_t x_6_t v_6_t u_6_t ] (integral 0. time_6 [gt_6_0 lt_6_0 x_6_0 v_6_0 u_6_0 ] flow_1))
(<= lt_6_t 0.1) (<= lt_6_0 0.1) (= mode_7 1)
(= mode_7 1) (<= lt_6_t 0.1) (= gt_7_0 gt_6_t) (= lt_7_0 0)
(= x_7_0 x_6_t)(= v_7_0 v_6_t)
(= state_x_6 x_6_t )
(= next_u_7 (- -0 state_x_6 ) )

(= next_u_7 u_7_0 )
(= lt_7_t (+ lt_7_0 (* 1 time_7 ))) (= gt_7_t (+ gt_7_0 (* 1 time_7 ))) (= u_7_t (+ u_7_0 (* 0 time_7 )))
(= [gt_7_t lt_7_t x_7_t v_7_t u_7_t ] (integral 0. time_7 [gt_7_0 lt_7_0 x_7_0 v_7_0 u_7_0 ] flow_1))
(<= lt_7_t 0.1) (<= lt_7_0 0.1) (= mode_8 1)
(= mode_8 1) (<= lt_7_t 0.1) (= gt_8_0 gt_7_t) (= lt_8_0 0)
(= x_8_0 x_7_t)(= v_8_0 v_7_t)
(= state_x_7 x_7_t )
(= next_u_8 (- -0 state_x_7 ) )

(= next_u_8 u_8_0 )
(= lt_8_t (+ lt_8_0 (* 1 time_8 ))) (= gt_8_t (+ gt_8_0 (* 1 time_8 ))) (= u_8_t (+ u_8_0 (* 0 time_8 )))
(= [gt_8_t lt_8_t x_8_t v_8_t u_8_t ] (integral 0. time_8 [gt_8_0 lt_8_0 x_8_0 v_8_0 u_8_0 ] flow_1))
(<= lt_8_t 0.1) (<= lt_8_0 0.1) (= mode_9 1)
(= mode_9 1) (<= lt_8_t 0.1) (= gt_9_0 gt_8_t) (= lt_9_0 0)
(= x_9_0 x_8_t)(= v_9_0 v_8_t)
(= state_x_8 x_8_t )
(= next_u_9 (- -0 state_x_8 ) )

(= next_u_9 u_9_0 )
(= lt_9_t (+ lt_9_0 (* 1 time_9 ))) (= gt_9_t (+ gt_9_0 (* 1 time_9 ))) (= u_9_t (+ u_9_0 (* 0 time_9 )))
(= [gt_9_t lt_9_t x_9_t v_9_t u_9_t ] (integral 0. time_9 [gt_9_0 lt_9_0 x_9_0 v_9_0 u_9_0 ] flow_1))
(<= lt_9_t 0.1) (<= lt_9_0 0.1) (= mode_10 1)
(= mode_10 1) (<= lt_9_t 0.1) (= gt_10_0 gt_9_t) (= lt_10_0 0)
(= x_10_0 x_9_t)(= v_10_0 v_9_t)
(= state_x_9 x_9_t )
(= next_u_10 (- -0 state_x_9 ) )

(= next_u_10 u_10_0 )
(= lt_10_t (+ lt_10_0 (* 1 time_10 ))) (= gt_10_t (+ gt_10_0 (* 1 time_10 ))) (= u_10_t (+ u_10_0 (* 0 0.1 )))
(= [gt_10_t lt_10_t x_10_t v_10_t u_10_t ] (integral 0. time_10 [gt_10_0 lt_10_0 x_10_0 v_10_0 u_10_0 ] flow_1))
(forall_t 1 [0 time_10] (<= lt_10_t 0.1))
(<= lt_10_t 0.1) (<= lt_10_0 0.1) (= mode_10 1)
(> v_10_t 0.735758882 )(> gt_10_t 1 ) ))
(check-sat)
(exit)

Tried reducing decimal points in precisions. Doesn't help much. Will dReal4 come handy to handle this? Thanks.