# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((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,X2),s(t_h4s_nums_num,X1)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))),file('i/f/divides/DIVIDES__LE', ch4s_dividess_DIVIDESu_u_LE)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/divides/DIVIDES__LE', aHLu_FALSITY)).
fof(10, axiom,![X5]:((p(s(t_bool,X5))=>p(s(t_bool,f)))<=>s(t_bool,X5)=s(t_bool,f)),file('i/f/divides/DIVIDES__LE', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(29, axiom,![X17]:![X18]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X17)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X18))),s(t_h4s_nums_num,X17))),file('i/f/divides/DIVIDES__LE', ah4s_arithmetics_LESSu_u_EQ)).
fof(31, axiom,![X17]:![X18]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X17)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X17))),s(t_h4s_nums_num,X18))))),file('i/f/divides/DIVIDES__LE', ah4s_arithmetics_NOTu_u_LEQ)).
fof(32, axiom,![X17]:![X18]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X18))))))<=>(s(t_h4s_nums_num,X18)=s(t_h4s_nums_num,h4s_nums_0)|p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X17)))))),file('i/f/divides/DIVIDES__LE', ah4s_arithmetics_LEu_u_MULTu_u_CANCELu_u_LBAREu_c1)).
fof(34, axiom,![X17]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X17))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/divides/DIVIDES__LE', ah4s_numerals_numeralu_u_lteu_c1)).
fof(36, axiom,![X17]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X17))))),file('i/f/divides/DIVIDES__LE', ah4s_primu_u_recs_LESSu_u_REFL)).
fof(37, axiom,![X17]: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,X17)))))),file('i/f/divides/DIVIDES__LE', ah4s_primu_u_recs_LESSu_u_0)).
fof(38, axiom,![X18]:(s(t_h4s_nums_num,X18)=s(t_h4s_nums_num,h4s_nums_0)|?[X17]:s(t_h4s_nums_num,X18)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X17)))),file('i/f/divides/DIVIDES__LE', ah4s_arithmetics_numu_u_CASES)).
fof(40, axiom,![X18]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X18)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/divides/DIVIDES__LE', ah4s_arithmetics_MULTu_u_CLAUSESu_c0)).
fof(41, axiom,![X1]:![X2]:(p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))<=>?[X15]:s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X2)))),file('i/f/divides/DIVIDES__LE', ah4s_dividess_dividesu_u_def)).
fof(43, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/divides/DIVIDES__LE', aHLu_BOOLu_CASES)).
fof(48, axiom,p(s(t_bool,t)),file('i/f/divides/DIVIDES__LE', aHLu_TRUTH)).
fof(50, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/divides/DIVIDES__LE', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
