# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/arithmetic/DIV__ONE', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/DIV__ONE', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/arithmetic/DIV__ONE', aHLu_BOOLu_CASES)).
fof(10, axiom,![X8]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X8))))=>![X13]:(s(t_h4s_nums_num,X13)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X8)))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,X8)))))),file('i/f/arithmetic/DIV__ONE', ah4s_arithmetics_DIVISION)).
fof(11, axiom,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,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/arithmetic/DIV__ONE', ah4s_arithmetics_ONE)).
fof(16, axiom,![X13]:s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/DIV__ONE', ah4s_arithmetics_MODu_u_ONE)).
fof(18, axiom,![X8]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X8)))=s(t_h4s_nums_num,X8),file('i/f/arithmetic/DIV__ONE', ah4s_arithmetics_ADDu_c0)).
fof(23, axiom,![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X14),file('i/f/arithmetic/DIV__ONE', ah4s_arithmetics_ADDu_u_0)).
fof(37, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,X6),file('i/f/arithmetic/DIV__ONE', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(38, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/DIV__ONE', ah4s_arithmetics_ALTu_u_ZERO)).
fof(41, axiom,![X14]:(s(t_h4s_nums_num,X14)=s(t_h4s_nums_num,h4s_nums_0)|?[X8]:s(t_h4s_nums_num,X14)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X8)))),file('i/f/arithmetic/DIV__ONE', ah4s_arithmetics_numu_u_CASES)).
fof(44, axiom,![X8]:~(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X8)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/arithmetic/DIV__ONE', ah4s_nums_NOTu_u_SUC)).
fof(54, axiom,![X8]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X8)))))),file('i/f/arithmetic/DIV__ONE', ah4s_primu_u_recs_LESSu_u_SUCu_u_REFL)).
fof(59, axiom,![X8]:![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X8)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X8))))),file('i/f/arithmetic/DIV__ONE', ah4s_arithmetics_MULTu_u_CLAUSESu_c5)).
fof(72, axiom,![X8]:![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X8)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X14))),file('i/f/arithmetic/DIV__ONE', ah4s_arithmetics_ADDu_u_COMM)).
fof(108, axiom,![X14]:s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X14)))))=s(t_h4s_nums_num,X14),file('i/f/arithmetic/DIV__ONE', ah4s_primu_u_recs_PRE0u_c1)).
fof(114, axiom,![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/DIV__ONE', ah4s_arithmetics_MULTu_u_CLAUSESu_c1)).
fof(133, conjecture,![X9]:s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_nums_num,X9),file('i/f/arithmetic/DIV__ONE', ch4s_arithmetics_DIVu_u_ONE)).
# SZS output end CNFRefutation
