# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/num/INV__SUC', aHLu_TRUTH)).
fof(9, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/num/INV__SUC', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(10, axiom,![X9]:![X10]:![X4]:(p(s(t_bool,h4s_bools_oneu_u_one(s(t_fun(X10,X9),X4))))<=>![X11]:![X12]:(s(X9,happ(s(t_fun(X10,X9),X4),s(X10,X11)))=s(X9,happ(s(t_fun(X10,X9),X4),s(X10,X12)))=>s(X10,X11)=s(X10,X12))),file('i/f/num/INV__SUC', ah4s_bools_ONEu_u_ONEu_u_THM)).
fof(11, axiom,p(s(t_bool,h4s_bools_oneu_u_one(s(t_fun(t_h4s_mins_ind,t_h4s_mins_ind),h4s_nums_sucu_u_rep)))),file('i/f/num/INV__SUC', ah4s_nums_SUCu_u_REPu_u_DEFu_c0)).
fof(13, axiom,![X13]:(p(s(t_bool,h4s_nums_isu_u_numu_u_rep(s(t_h4s_mins_ind,X13))))<=>![X14]:((p(s(t_bool,happ(s(t_fun(t_h4s_mins_ind,t_bool),X14),s(t_h4s_mins_ind,h4s_nums_zerou_u_rep))))&![X15]:(p(s(t_bool,happ(s(t_fun(t_h4s_mins_ind,t_bool),X14),s(t_h4s_mins_ind,X15))))=>p(s(t_bool,happ(s(t_fun(t_h4s_mins_ind,t_bool),X14),s(t_h4s_mins_ind,happ(s(t_fun(t_h4s_mins_ind,t_h4s_mins_ind),h4s_nums_sucu_u_rep),s(t_h4s_mins_ind,X15))))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_mins_ind,t_bool),X14),s(t_h4s_mins_ind,X13)))))),file('i/f/num/INV__SUC', ah4s_nums_ISu_u_NUMu_u_REP0)).
fof(14, axiom,![X16]: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,X16)))))=s(t_h4s_nums_num,X16),file('i/f/num/INV__SUC', ah4s_nums_numu_u_ISOu_u_DEFu_c0)).
fof(15, axiom,![X17]:(p(s(t_bool,h4s_nums_isu_u_numu_u_rep(s(t_h4s_mins_ind,X17))))<=>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,X17)))))=s(t_h4s_mins_ind,X17)),file('i/f/num/INV__SUC', ah4s_nums_numu_u_ISOu_u_DEFu_c1)).
fof(16, axiom,![X13]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X13)))=s(t_h4s_nums_num,h4s_nums_absu_u_num(s(t_h4s_mins_ind,happ(s(t_fun(t_h4s_mins_ind,t_h4s_mins_ind),h4s_nums_sucu_u_rep),s(t_h4s_mins_ind,h4s_nums_repu_u_num(s(t_h4s_nums_num,X13))))))),file('i/f/num/INV__SUC', ah4s_nums_SUCu_u_DEF)).
fof(17, conjecture,![X15]:![X13]:(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X13)))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15)))=>s(t_h4s_nums_num,X13)=s(t_h4s_nums_num,X15)),file('i/f/num/INV__SUC', ch4s_nums_INVu_u_SUC)).
# SZS output end CNFRefutation
