# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_nums_num,h4s_dividess_primes(s(t_h4s_nums_num,X1)))))),file('i/f/divides/ZERO__LT__PRIMES', ch4s_dividess_ZEROu_u_LTu_u_PRIMES)).
fof(25, axiom,![X4]:((p(s(t_bool,X4))=>p(s(t_bool,f)))<=>s(t_bool,X4)=s(t_bool,f)),file('i/f/divides/ZERO__LT__PRIMES', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(41, axiom,![X1]:(~(s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0))<=>p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_nums_num,X1))))),file('i/f/divides/ZERO__LT__PRIMES', ah4s_arithmetics_NOTu_u_ZEROu_u_LTu_u_ZERO)).
fof(43, axiom,![X4]:(s(t_bool,f)=s(t_bool,X4)<=>~(p(s(t_bool,X4)))),file('i/f/divides/ZERO__LT__PRIMES', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(58, axiom,![X1]:![X19]:s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,X19))),s(t_h4s_nums_num,X1)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X19))),s(t_h4s_nums_num,X1))),file('i/f/divides/ZERO__LT__PRIMES', ah4s_arithmetics_LESSu_u_EQ)).
fof(66, axiom,![X1]:p(s(t_bool,h4s_dividess_prime(s(t_h4s_nums_num,h4s_dividess_primes(s(t_h4s_nums_num,X1)))))),file('i/f/divides/ZERO__LT__PRIMES', ah4s_dividess_primePRIMES)).
fof(79, axiom,~(p(s(t_bool,h4s_dividess_prime(s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/divides/ZERO__LT__PRIMES', ah4s_dividess_NOTu_u_PRIMEu_u_0)).
# SZS output end CNFRefutation
