# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:~(p(s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/bit/BIT__ZERO', ch4s_bits_BITu_u_ZERO)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bit/BIT__ZERO', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/bit/BIT__ZERO', aHLu_FALSITY)).
fof(9, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/bit/BIT__ZERO', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(12, axiom,![X8]:![X9]:(s(t_h4s_nums_num,X9)=s(t_h4s_nums_num,X8)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X8))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X9)))))),file('i/f/bit/BIT__ZERO', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(13, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/bit/BIT__ZERO', aHLu_BOOLu_CASES)).
fof(14, axiom,![X8]:![X1]:(p(s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X8))))<=>s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X8)))=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/BIT__ZERO', ah4s_bits_BITu_u_def)).
fof(15, axiom,![X8]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/bit/BIT__ZERO', ah4s_numerals_numeralu_u_distribu_c27)).
fof(16, axiom,![X10]:![X11]:s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/bit/BIT__ZERO', ah4s_bits_BITSu_u_ZERO2)).
fof(17, axiom,![X8]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/bit/BIT__ZERO', ah4s_numerals_numeralu_u_lteu_c1)).
# SZS output end CNFRefutation
