# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:~(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/bit/TWOEXP__NOT__ZERO', ch4s_bits_TWOEXPu_u_NOTu_u_ZERO)).
fof(37, 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/bit/TWOEXP__NOT__ZERO', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(39, axiom,![X1]:![X17]:(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X17)))=s(t_h4s_nums_num,h4s_nums_0)<=>(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,X17)))))),file('i/f/bit/TWOEXP__NOT__ZERO', ah4s_arithmetics_EXPu_u_EQu_u_0)).
fof(44, 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/bit/TWOEXP__NOT__ZERO', ah4s_arithmetics_ONE)).
fof(45, axiom,![X17]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X17)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/bit/TWOEXP__NOT__ZERO', ah4s_arithmetics_SUBu_c0)).
fof(51, axiom,![X1]:![X17]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X1)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X17))))),file('i/f/bit/TWOEXP__NOT__ZERO', ah4s_arithmetics_NOTu_u_LESS)).
fof(59, axiom,![X1]:![X17]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X1)))=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,X1))),file('i/f/bit/TWOEXP__NOT__ZERO', ah4s_arithmetics_LESSu_u_EQ)).
fof(64, axiom,s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/bit/TWOEXP__NOT__ZERO', ah4s_arithmetics_TWO)).
fof(73, axiom,![X17]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X17)))))),file('i/f/bit/TWOEXP__NOT__ZERO', ah4s_arithmetics_LESSu_u_EQu_u_SUCu_u_REFL)).
# SZS output end CNFRefutation
