# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(s(t_bool,h4s_dividess_prime(s(t_h4s_nums_num,X1))))=>p(s(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/PRIME__POS', ch4s_dividess_PRIMEu_u_POS)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/divides/PRIME__POS', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/divides/PRIME__POS', aHLu_FALSITY)).
fof(9, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/divides/PRIME__POS', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(13, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/divides/PRIME__POS', aHLu_BOOLu_CASES)).
fof(15, axiom,![X10]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10)))))),file('i/f/divides/PRIME__POS', ah4s_primu_u_recs_LESSu_u_0)).
fof(16, axiom,![X12]:(s(t_h4s_nums_num,X12)=s(t_h4s_nums_num,h4s_nums_0)|?[X10]:s(t_h4s_nums_num,X12)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10)))),file('i/f/divides/PRIME__POS', ah4s_arithmetics_numu_u_CASES)).
fof(17, axiom,~(p(s(t_bool,h4s_dividess_prime(s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/divides/PRIME__POS', ah4s_dividess_NOTu_u_PRIMEu_u_0)).
# SZS output end CNFRefutation
