# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,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_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))))),file('i/f/bit/DIV__GT0', ch4s_bits_DIVu_u_GT0)).
fof(2, axiom,![X3]:![X4]:((p(s(t_bool,X4))=>p(s(t_bool,X3)))=>((p(s(t_bool,X3))=>p(s(t_bool,X4)))=>s(t_bool,X4)=s(t_bool,X3))),file('i/f/bit/DIV__GT0', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(31, axiom,![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,X18))))),file('i/f/bit/DIV__GT0', ah4s_arithmetics_NOTu_u_ZEROu_u_LTu_u_ZERO)).
fof(33, axiom,![X18]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X18))))),file('i/f/bit/DIV__GT0', ah4s_primu_u_recs_LESSu_u_REFL)).
fof(38, axiom,![X20]:![X7]:![X9]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X20))))=>s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X20))),s(t_h4s_nums_num,X9)))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_nums_num,X20)))))),file('i/f/bit/DIV__GT0', ah4s_arithmetics_DIVu_u_LEu_u_X)).
fof(39, axiom,![X7]:![X9]:![X18]:((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_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X7)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X18))),s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X18))))))),file('i/f/bit/DIV__GT0', ah4s_arithmetics_DIVu_u_LEu_u_MONOTONE)).
fof(49, axiom,![X18]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X18),file('i/f/bit/DIV__GT0', ah4s_numerals_numeralu_u_distribu_c1)).
fof(51, axiom,![X18]:![X19]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18)))))),file('i/f/bit/DIV__GT0', ah4s_arithmetics_LESSu_u_EQu_u_ADD)).
fof(58, axiom,![X18]:![X19]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X19))),file('i/f/bit/DIV__GT0', ah4s_arithmetics_ADDu_u_SYM)).
fof(63, axiom,![X19]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X19)))=s(t_h4s_nums_num,X19),file('i/f/bit/DIV__GT0', ah4s_arithmetics_MULTu_u_CLAUSESu_c2)).
fof(70, axiom,s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/bit/DIV__GT0', ah4s_numerals_numeralu_u_sucu_c0)).
fof(71, axiom,![X18]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X18)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X18))),file('i/f/bit/DIV__GT0', ah4s_numerals_numeralu_u_addu_c6)).
fof(75, axiom,![X18]:![X19]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(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,h4s_nums_suc(s(t_h4s_nums_num,X18))),s(t_h4s_nums_num,X19))))),file('i/f/bit/DIV__GT0', ah4s_arithmetics_NOTu_u_LEQ)).
fof(77, axiom,![X18]:![X19]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X19))),s(t_h4s_nums_num,X18))),file('i/f/bit/DIV__GT0', ah4s_arithmetics_LESSu_u_EQ)).
fof(78, axiom,![X18]:![X19]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X19))),s(t_h4s_nums_num,X18)))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18))))),file('i/f/bit/DIV__GT0', ah4s_arithmetics_ADDu_u_CLAUSESu_c2)).
fof(89, axiom,![X11]:(s(t_bool,X11)=s(t_bool,f)<=>~(p(s(t_bool,X11)))),file('i/f/bit/DIV__GT0', ah4s_bools_EQu_u_CLAUSESu_c3)).
# SZS output end CNFRefutation
