[assert] true
[assert] not false
[assert] and true true
[assert] or true false
[assert] xor true false
[assert] eq.{1} Prop true true
[assert] not (eq.{1} Prop true false)
[assert] not (and (and (not (eq.{1} Prop true false)) (not (eq.{1} Prop true true))) (not (eq.{1} Prop false true)))
[assert] not (and (and (and (and (and (not (eq.{1} Prop true false)) (not (eq.{1} Prop true true))) (not (eq.{1} Prop true false))) (not (eq.{1} Prop false true))) (not (eq.{1} Prop false false))) (not (eq.{1} Prop true false)))
[assert] ite.{1} true (classical.prop_decidable true) Prop true true
[declare_sort] X : Type
[declare_const] x1 : X
[declare_const] x2 : X
[declare_const] x3 : X
[assert] eq.{1} X (ite.{1} true (classical.prop_decidable true) X x1 x2) (ite.{1} false (classical.prop_decidable false) X x2 x1)