# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(s(t_bool,h4s_netss_bounded(s(t_h4s_pairs_prod(t_h4s_topologys_metric(t_h4s_realaxs_real),t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool))),h4s_pairs_u_2c(s(t_h4s_topologys_metric(t_h4s_realaxs_real),h4s_topologys_mr1),s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_arithmetics_u_3eu_3d))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X1))))<=>?[X2]:![X3]:p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X1),s(t_h4s_nums_num,X3))))),s(t_h4s_realaxs_real,X2))))),file('i/f/seq/SEQ__BOUNDED', ch4s_seqs_SEQu_u_BOUNDED)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/seq/SEQ__BOUNDED', aHLu_TRUTH)).
fof(7, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/seq/SEQ__BOUNDED', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(8, axiom,![X7]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X7)))),file('i/f/seq/SEQ__BOUNDED', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(10, axiom,![X13]:![X14]:![X12]:((p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X12),s(t_h4s_realaxs_real,X14))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X14),s(t_h4s_realaxs_real,X13)))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X12),s(t_h4s_realaxs_real,X13))))),file('i/f/seq/SEQ__BOUNDED', ah4s_reals_REALu_u_LTEu_u_TRANS)).
fof(11, axiom,![X15]:![X11]:![X10]:(p(s(t_bool,h4s_netss_bounded(s(t_h4s_pairs_prod(t_h4s_topologys_metric(t_h4s_realaxs_real),t_fun(X15,t_fun(X15,t_bool))),h4s_pairs_u_2c(s(t_h4s_topologys_metric(t_h4s_realaxs_real),h4s_topologys_mr1),s(t_fun(X15,t_fun(X15,t_bool)),X11))),s(t_fun(X15,t_h4s_realaxs_real),X10))))<=>?[X2]:?[X16]:(p(s(t_bool,happ(s(t_fun(X15,t_bool),happ(s(t_fun(X15,t_fun(X15,t_bool)),X11),s(X15,X16))),s(X15,X16))))&![X3]:(p(s(t_bool,happ(s(t_fun(X15,t_bool),happ(s(t_fun(X15,t_fun(X15,t_bool)),X11),s(X15,X3))),s(X15,X16))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,happ(s(t_fun(X15,t_h4s_realaxs_real),X10),s(X15,X3))))),s(t_h4s_realaxs_real,X2))))))),file('i/f/seq/SEQ__BOUNDED', ah4s_netss_MR1u_u_BOUNDED)).
fof(12, axiom,![X1]:![X16]:?[X2]:![X3]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X16))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X1),s(t_h4s_nums_num,X3))))),s(t_h4s_realaxs_real,X2))))),file('i/f/seq/SEQ__BOUNDED', ah4s_seqs_MAXu_u_LEMMA)).
fof(13, axiom,![X14]:![X12]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X12),s(t_h4s_realaxs_real,X14))))|p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X14),s(t_h4s_realaxs_real,X12))))),file('i/f/seq/SEQ__BOUNDED', ah4s_reals_REALu_u_LEu_u_TOTAL)).
fof(14, axiom,![X3]:![X7]:s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_arithmetics_u_3eu_3d),s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,X7)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X3))),file('i/f/seq/SEQ__BOUNDED', ah4s_arithmetics_GREATERu_u_EQ)).
fof(15, axiom,![X3]:![X7]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X3))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X7))))),file('i/f/seq/SEQ__BOUNDED', ah4s_arithmetics_LESSu_u_CASES)).
fof(16, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/seq/SEQ__BOUNDED', aHLu_BOOLu_CASES)).
fof(17, axiom,~(p(s(t_bool,f))),file('i/f/seq/SEQ__BOUNDED', aHLu_FALSITY)).
# SZS output end CNFRefutation
