# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))))))),file('i/f/prim_rec/LESS__SUC', ch4s_primu_u_recs_LESSu_u_SUC)).
fof(2, axiom,![X3]:![X4]:((p(s(t_bool,X4))=>p(s(t_bool,X3)))=>((p(s(t_bool,X3))=>p(s(t_bool,X4)))=>s(t_bool,X4)=s(t_bool,X3))),file('i/f/prim_rec/LESS__SUC', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(4, axiom,![X1]:![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))<=>?[X8]:(![X9]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X8),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X9))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X8),s(t_h4s_nums_num,X9)))))&(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X8),s(t_h4s_nums_num,X2))))&~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X8),s(t_h4s_nums_num,X1)))))))),file('i/f/prim_rec/LESS__SUC', ah4s_primu_u_recs_LESSu_u_DEF)).
# SZS output end CNFRefutation
