# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(s(t_h4s_nums_num,h4s_dividess_primes(s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_dividess_primes(s(t_h4s_nums_num,X1)))=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X1)),file('i/f/divides/PRIMES__11', ch4s_dividess_PRIMESu_u_11)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/divides/PRIMES__11', aHLu_FALSITY)).
fof(10, axiom,![X4]:((p(s(t_bool,X4))=>p(s(t_bool,f)))<=>s(t_bool,X4)=s(t_bool,f)),file('i/f/divides/PRIMES__11', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(29, axiom,![X1]:![X2]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),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,X2))),s(t_h4s_nums_num,X1))),file('i/f/divides/PRIMES__11', ah4s_arithmetics_LESSu_u_EQ)).
fof(35, axiom,![X1]:![X2]:(~(s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X1))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X1))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X2)))))),file('i/f/divides/PRIMES__11', ah4s_arithmetics_NOTu_u_NUMu_u_EQ)).
fof(39, 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))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_dividess_primes(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,h4s_dividess_primes(s(t_h4s_nums_num,X1))))))),file('i/f/divides/PRIMES__11', ah4s_dividess_LTu_u_PRIMES)).
# SZS output end CNFRefutation
