# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_bits_sbit(s(t_bool,X3),s(t_h4s_nums_num,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,X2)))))=s(t_h4s_nums_num,h4s_bits_sbit(s(t_bool,X3),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))))),file('i/f/bit/SBIT__MULT', ch4s_bits_SBITu_u_MULT)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bit/SBIT__MULT', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/bit/SBIT__MULT', aHLu_FALSITY)).
fof(6, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/bit/SBIT__MULT', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(12, axiom,![X7]:![X5]:![X6]:s(X7,h4s_bools_cond(s(t_bool,t),s(X7,X6),s(X7,X5)))=s(X7,X6),file('i/f/bit/SBIT__MULT', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(13, axiom,![X7]:![X5]:![X6]:s(X7,h4s_bools_cond(s(t_bool,f),s(X7,X6),s(X7,X5)))=s(X7,X5),file('i/f/bit/SBIT__MULT', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(18, axiom,![X1]:![X3]:s(t_h4s_nums_num,h4s_bits_sbit(s(t_bool,X3),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,X3),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/SBIT__MULT', ah4s_bits_SBITu_u_def)).
fof(19, axiom,![X15]:![X16]:![X1]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X15)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X16))),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X15))))),file('i/f/bit/SBIT__MULT', ah4s_arithmetics_EXPu_u_ADD)).
fof(20, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/bit/SBIT__MULT', ah4s_arithmetics_MULTu_u_0)).
fof(21, axiom,![X1]:![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))),file('i/f/bit/SBIT__MULT', ah4s_arithmetics_MULTu_u_COMM)).
# SZS output end CNFRefutation
