# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:p(s(t_bool,h4s_lims_diffl(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X1),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,X2))))=>![X2]:![X3]:s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X1),s(t_h4s_realaxs_real,X2)))=s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X1),s(t_h4s_realaxs_real,X3)))),file('i/f/lim/DIFF__ISCONST__ALL', ch4s_lims_DIFFu_u_ISCONSTu_u_ALL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/lim/DIFF__ISCONST__ALL', aHLu_TRUTH)).
fof(9, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)<=>p(s(t_bool,X8))),file('i/f/lim/DIFF__ISCONST__ALL', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(10, axiom,![X1]:![X9]:![X10]:((p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X9))))&(![X2]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X2))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X9)))))=>p(s(t_bool,h4s_lims_contl(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X1),s(t_h4s_realaxs_real,X2)))))&![X2]:((p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X2))))&p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X9)))))=>p(s(t_bool,h4s_lims_diffl(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X1),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,X2)))))))=>s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X1),s(t_h4s_realaxs_real,X9)))=s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X1),s(t_h4s_realaxs_real,X10)))),file('i/f/lim/DIFF__ISCONST__ALL', ah4s_lims_DIFFu_u_ISCONSTu_u_END)).
fof(11, axiom,![X3]:![X2]:(s(t_h4s_realaxs_real,X2)=s(t_h4s_realaxs_real,X3)|(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X3))))|p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2)))))),file('i/f/lim/DIFF__ISCONST__ALL', ah4s_reals_REALu_u_LTu_u_TOTAL)).
fof(12, axiom,![X2]:![X11]:![X1]:(p(s(t_bool,h4s_lims_diffl(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X1),s(t_h4s_realaxs_real,X11),s(t_h4s_realaxs_real,X2))))=>p(s(t_bool,h4s_lims_contl(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X1),s(t_h4s_realaxs_real,X2))))),file('i/f/lim/DIFF__ISCONST__ALL', ah4s_lims_DIFFu_u_CONT)).
fof(13, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)|s(t_bool,X8)=s(t_bool,f0)),file('i/f/lim/DIFF__ISCONST__ALL', aHLu_BOOLu_CASES)).
fof(14, axiom,~(p(s(t_bool,f0))),file('i/f/lim/DIFF__ISCONST__ALL', aHLu_FALSITY)).
# SZS output end CNFRefutation
