# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(6, axiom,![X4]:(![X7]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X4),s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X4),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7))))))))=>p(s(t_bool,h4s_bools_oneu_u_one(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X4))))),file('i/f/arithmetic/STRICTLY__INCREASING__UNBOUNDED', ah4s_arithmetics_STRICTLYu_u_INCREASINGu_u_ONEu_u_ONE)).
fof(7, axiom,![X4]:(p(s(t_bool,h4s_bools_oneu_u_one(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X4))))=>![X9]:?[X7]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X4),s(t_h4s_nums_num,X7))))))),file('i/f/arithmetic/STRICTLY__INCREASING__UNBOUNDED', ah4s_arithmetics_ONEu_u_ONEu_u_UNBOUNDED)).
fof(133, conjecture,![X4]:(![X7]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X4),s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X4),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7))))))))=>![X9]:?[X7]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X4),s(t_h4s_nums_num,X7))))))),file('i/f/arithmetic/STRICTLY__INCREASING__UNBOUNDED', ch4s_arithmetics_STRICTLYu_u_INCREASINGu_u_UNBOUNDED)).
# SZS output end CNFRefutation
