# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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))))=>p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_arithmetics_fact(s(t_h4s_nums_num,X1))))))),file('i/f/divides/DIVIDES__FACT', ch4s_dividess_DIVIDESu_u_FACT)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/divides/DIVIDES__FACT', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/divides/DIVIDES__FACT', aHLu_FALSITY)).
fof(9, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/divides/DIVIDES__FACT', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(12, axiom,![X10]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/divides/DIVIDES__FACT', ah4s_primu_u_recs_NOTu_u_LESSu_u_0)).
fof(16, axiom,![X1]:![X12]:(p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X1))))<=>?[X13]:s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12)))),file('i/f/divides/DIVIDES__FACT', ah4s_dividess_dividesu_u_def)).
fof(17, axiom,![X10]:s(t_h4s_nums_num,h4s_arithmetics_fact(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,h4s_arithmetics_fact(s(t_h4s_nums_num,X10))))),file('i/f/divides/DIVIDES__FACT', ah4s_arithmetics_FACT0u_c1)).
fof(18, axiom,![X14]:(s(t_h4s_nums_num,X14)=s(t_h4s_nums_num,h4s_nums_0)|?[X10]:s(t_h4s_nums_num,X14)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10)))),file('i/f/divides/DIVIDES__FACT', ah4s_arithmetics_numu_u_CASES)).
fof(19, axiom,![X10]:![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X14))),file('i/f/divides/DIVIDES__FACT', ah4s_arithmetics_MULTu_u_COMM)).
fof(21, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/divides/DIVIDES__FACT', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
