# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:~(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/num/NOT__SUC', ch4s_nums_NOTu_u_SUC)).
fof(3, axiom,s(t_h4s_nums_num,h4s_nums_0)=s(t_h4s_nums_num,h4s_nums_absu_u_num(s(t_h4s_mins_ind,h4s_nums_zerou_u_rep))),file('i/f/num/NOT__SUC', ah4s_nums_ZEROu_u_DEF)).
fof(4, axiom,![X5]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,h4s_nums_absu_u_num(s(t_h4s_mins_ind,h4s_nums_sucu_u_rep(s(t_h4s_mins_ind,h4s_nums_repu_u_num(s(t_h4s_nums_num,X5))))))),file('i/f/num/NOT__SUC', ah4s_nums_SUCu_u_DEF)).
fof(5, axiom,![X6]:s(t_h4s_nums_num,h4s_nums_absu_u_num(s(t_h4s_mins_ind,h4s_nums_repu_u_num(s(t_h4s_nums_num,X6)))))=s(t_h4s_nums_num,X6),file('i/f/num/NOT__SUC', ah4s_nums_numu_u_ISOu_u_DEFu_c0)).
fof(6, axiom,![X3]:~(s(t_h4s_mins_ind,h4s_nums_zerou_u_rep)=s(t_h4s_mins_ind,h4s_nums_sucu_u_rep(s(t_h4s_mins_ind,X3)))),file('i/f/num/NOT__SUC', ah4s_nums_ZEROu_u_REPu_u_DEF)).
fof(7, axiom,![X5]:(p(s(t_bool,h4s_nums_isu_u_numu_u_rep(s(t_h4s_mins_ind,X5))))<=>![X7]:((p(s(t_bool,happ(s(t_fun(t_h4s_mins_ind,t_bool),X7),s(t_h4s_mins_ind,h4s_nums_zerou_u_rep))))&![X1]:(p(s(t_bool,happ(s(t_fun(t_h4s_mins_ind,t_bool),X7),s(t_h4s_mins_ind,X1))))=>p(s(t_bool,happ(s(t_fun(t_h4s_mins_ind,t_bool),X7),s(t_h4s_mins_ind,h4s_nums_sucu_u_rep(s(t_h4s_mins_ind,X1))))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_mins_ind,t_bool),X7),s(t_h4s_mins_ind,X5)))))),file('i/f/num/NOT__SUC', ah4s_nums_ISu_u_NUMu_u_REP0)).
fof(8, axiom,![X8]:(p(s(t_bool,h4s_nums_isu_u_numu_u_rep(s(t_h4s_mins_ind,X8))))<=>s(t_h4s_mins_ind,h4s_nums_repu_u_num(s(t_h4s_nums_num,h4s_nums_absu_u_num(s(t_h4s_mins_ind,X8)))))=s(t_h4s_mins_ind,X8)),file('i/f/num/NOT__SUC', ah4s_nums_numu_u_ISOu_u_DEFu_c1)).
# SZS output end CNFRefutation
