# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(![X3]:![X4]:![X5]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool))),X2),s(t_fun(X1,t_bool),X3))),s(t_fun(X1,t_bool),X4))),s(X1,X5))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X3))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,X5))))))=>![X4]:![X3]:s(X1,h4s_bools_resu_u_select(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X4)))=s(X1,h4s_mins_u_40(s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool))),X2),s(t_fun(X1,t_bool),X3))),s(t_fun(X1,t_bool),X4)))))),file('i/f/bool/RES__SELECT__THM', ch4s_bools_RESu_u_SELECTu_u_THM)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bool/RES__SELECT__THM', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/bool/RES__SELECT__THM', aHLu_FALSITY)).
fof(4, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f0)),file('i/f/bool/RES__SELECT__THM', aHLu_BOOLu_CASES)).
fof(6, axiom,![X1]:![X2]:(![X5]:![X10]:![X11]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool))),X2),s(t_fun(X1,t_bool),X5))),s(t_fun(X1,t_bool),X10))),s(X1,X11))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X11),s(t_fun(X1,t_bool),X5))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X10),s(X1,X11))))))=>![X5]:![X10]:s(X1,h4s_bools_resu_u_select(s(t_fun(X1,t_bool),X5),s(t_fun(X1,t_bool),X10)))=s(X1,h4s_mins_u_40(s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool))),X2),s(t_fun(X1,t_bool),X5))),s(t_fun(X1,t_bool),X10)))))),file('i/f/bool/RES__SELECT__THM', ah4s_bools_RESu_u_SELECTu_u_DEF)).
# SZS output end CNFRefutation
