# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(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))))|s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/divides/DIVIDES__LEQ__OR__ZERO', ch4s_dividess_DIVIDESu_u_LEQu_u_ORu_u_ZERO)).
fof(6, axiom,![X10]:![X11]:((p(s(t_bool,X11))=>p(s(t_bool,X10)))=>((p(s(t_bool,X10))=>p(s(t_bool,X11)))=>s(t_bool,X11)=s(t_bool,X10))),file('i/f/divides/DIVIDES__LEQ__OR__ZERO', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(21, axiom,![X1]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))),file('i/f/divides/DIVIDES__LEQ__OR__ZERO', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(30, axiom,![X2]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X2)))),file('i/f/divides/DIVIDES__LEQ__OR__ZERO', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(32, axiom,![X18]:![X19]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X18))))&p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18))))),file('i/f/divides/DIVIDES__LEQ__OR__ZERO', ah4s_dividess_DIVIDESu_u_LE)).
fof(35, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/divides/DIVIDES__LEQ__OR__ZERO', ah4s_arithmetics_MULTu_u_0)).
fof(36, axiom,![X1]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/divides/DIVIDES__LEQ__OR__ZERO', ah4s_numerals_numeralu_u_distribu_c27)).
fof(49, axiom,![X1]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/divides/DIVIDES__LEQ__OR__ZERO', ah4s_primu_u_recs_NOTu_u_LESSu_u_0)).
fof(52, axiom,![X1]:(~(s(t_h4s_nums_num,X1)=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,X1))))),file('i/f/divides/DIVIDES__LEQ__OR__ZERO', ah4s_arithmetics_NOTu_u_ZEROu_u_LTu_u_ZERO)).
fof(61, axiom,![X1]:![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))),file('i/f/divides/DIVIDES__LEQ__OR__ZERO', ah4s_arithmetics_MULTu_u_COMM)).
fof(66, axiom,![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(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,X2),s(t_h4s_nums_num,X1))))|s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X1))),file('i/f/divides/DIVIDES__LEQ__OR__ZERO', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
fof(75, axiom,![X18]:![X19]:(p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18))))<=>?[X8]:s(t_h4s_nums_num,X18)=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X19)))),file('i/f/divides/DIVIDES__LEQ__OR__ZERO', ah4s_dividess_dividesu_u_def)).
# SZS output end CNFRefutation
