# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((p(s(t_bool,h4s_dividess_prime(s(t_h4s_nums_num,X2))))&(p(s(t_bool,h4s_dividess_prime(s(t_h4s_nums_num,X1))))&p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))))=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X1)),file('i/f/divides/prime__divides__only__self', ch4s_dividess_primeu_u_dividesu_u_onlyu_u_self)).
fof(5, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/divides/prime__divides__only__self', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(31, axiom,![X1]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/divides/prime__divides__only__self', ah4s_numerals_numeralu_u_lteu_c1)).
fof(36, 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_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))))),file('i/f/divides/prime__divides__only__self', ah4s_arithmetics_NOTu_u_LESS)).
fof(45, axiom,![X1]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))))=s(t_bool,t),file('i/f/divides/prime__divides__only__self', ah4s_numerals_numeralu_u_ltu_c0)).
fof(50, axiom,~(p(s(t_bool,f))),file('i/f/divides/prime__divides__only__self', aHLu_FALSITY)).
fof(58, axiom,![X11]:((p(s(t_bool,X11))=>p(s(t_bool,f)))<=>s(t_bool,X11)=s(t_bool,f)),file('i/f/divides/prime__divides__only__self', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(61, axiom,![X11]:(s(t_bool,X11)=s(t_bool,f)<=>~(p(s(t_bool,X11)))),file('i/f/divides/prime__divides__only__self', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(63, axiom,![X18]:(p(s(t_bool,h4s_dividess_prime(s(t_h4s_nums_num,X18))))<=>(~(s(t_h4s_nums_num,X18)=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))&![X19]:(p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18))))=>(s(t_h4s_nums_num,X19)=s(t_h4s_nums_num,X18)|s(t_h4s_nums_num,X19)=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))),file('i/f/divides/prime__divides__only__self', ah4s_dividess_primeu_u_def)).
fof(75, axiom,~(p(s(t_bool,h4s_dividess_prime(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))),file('i/f/divides/prime__divides__only__self', ah4s_dividess_NOTu_u_PRIMEu_u_1)).
# SZS output end CNFRefutation
