# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(~(s(t_h4s_integers_int,X1)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))=>s(t_h4s_integers_int,h4s_integers_intu_u_div(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,X1)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/integer/INT__DIV__0', ch4s_integers_INTu_u_DIVu_u_0)).
fof(18, axiom,s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/integer/INT__DIV__0', ah4s_integers_INTu_u_NEGu_u_0)).
fof(19, axiom,![X13]:(?[X11]:(s(t_h4s_integers_int,X13)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X11)))&~(s(t_h4s_nums_num,X11)=s(t_h4s_nums_num,h4s_nums_0)))|(?[X11]:(s(t_h4s_integers_int,X13)=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X11)))))&~(s(t_h4s_nums_num,X11)=s(t_h4s_nums_num,h4s_nums_0)))|s(t_h4s_integers_int,X13)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/integer/INT__DIV__0', ah4s_integers_INTu_u_NUMu_u_CASES)).
fof(20, axiom,![X11]:![X12]:(~(s(t_h4s_nums_num,X12)=s(t_h4s_nums_num,h4s_nums_0))=>s(t_h4s_integers_int,h4s_integers_intu_u_div(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X11))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X12)))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X12)))))),file('i/f/integer/INT__DIV__0', ah4s_integers_INTu_u_DIV)).
fof(21, axiom,![X1]:![X13]:(~(s(t_h4s_integers_int,X1)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))=>s(t_h4s_integers_int,h4s_integers_intu_u_div(s(t_h4s_integers_int,X13),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X1)))))=s(t_h4s_integers_int,h4s_integers_intu_u_div(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X13))),s(t_h4s_integers_int,X1)))),file('i/f/integer/INT__DIV__0', ah4s_integers_INTu_u_DIVu_u_NEG)).
fof(22, axiom,![X11]:(~(s(t_h4s_nums_num,X11)=s(t_h4s_nums_num,h4s_nums_0))<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X11))))),file('i/f/integer/INT__DIV__0', ah4s_arithmetics_NOTu_u_ZEROu_u_LTu_u_ZERO)).
fof(23, axiom,![X11]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X11))))=>s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X11)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/integer/INT__DIV__0', ah4s_arithmetics_ZEROu_u_DIV)).
# SZS output end CNFRefutation
