# 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_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,h4s_arithmetics_u_2a(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,h4s_nums_0),s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_primu_u_recs_u_3c(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,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_primu_u_recs_u_3c(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,X2))))))),file('i/f/arithmetic/ONE__LT__MULT', ch4s_arithmetics_ONEu_u_LTu_u_MULT)).
fof(25, axiom,![X16]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/arithmetic/ONE__LT__MULT', ah4s_primu_u_recs_NOTu_u_LESSu_u_0)).
fof(27, axiom,![X16]:(~(s(t_h4s_nums_num,X16)=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,X16))))),file('i/f/arithmetic/ONE__LT__MULT', ah4s_arithmetics_NOTu_u_ZEROu_u_LTu_u_ZERO)).
fof(28, axiom,![X9]:![X10]:((p(s(t_bool,h4s_primu_u_recs_u_3c(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,X10))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X9)))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(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_arithmetics_u_2a(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X9))))))),file('i/f/arithmetic/ONE__LT__MULT', ah4s_arithmetics_ONEu_u_LTu_u_MULTu_u_IMP)).
fof(29, 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/ONE__LT__MULT', ah4s_arithmetics_ONE)).
fof(31, axiom,![X17]: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,X17)))=s(t_h4s_nums_num,X17),file('i/f/arithmetic/ONE__LT__MULT', ah4s_arithmetics_MULTu_u_CLAUSESu_c2)).
fof(34, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,X2),file('i/f/arithmetic/ONE__LT__MULT', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(37, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/ONE__LT__MULT', ah4s_arithmetics_ALTu_u_ZERO)).
fof(46, axiom,![X16]:![X17]:(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X16)))=s(t_h4s_nums_num,h4s_nums_0)<=>(s(t_h4s_nums_num,X17)=s(t_h4s_nums_num,h4s_nums_0)|s(t_h4s_nums_num,X16)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/arithmetic/ONE__LT__MULT', ah4s_arithmetics_MULTu_u_EQu_u_0)).
fof(50, axiom,![X17]:(s(t_h4s_nums_num,X17)=s(t_h4s_nums_num,h4s_nums_0)|?[X16]:s(t_h4s_nums_num,X17)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X16)))),file('i/f/arithmetic/ONE__LT__MULT', ah4s_arithmetics_numu_u_CASES)).
fof(51, axiom,![X16]:![X17]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X17))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X16)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X16))),file('i/f/arithmetic/ONE__LT__MULT', ah4s_arithmetics_LESSu_u_MONOu_u_EQ)).
fof(58, axiom,![X16]:![X17]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X17))),s(t_h4s_nums_num,X16))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X16))))),file('i/f/arithmetic/ONE__LT__MULT', ah4s_primu_u_recs_SUCu_u_LESS)).
# SZS output end CNFRefutation
