# 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(4, 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(15, axiom,![X10]:![X11]:((p(s(t_bool,X11))=>p(s(t_bool,X10)))=>((p(s(t_bool,X10))=>p(s(t_bool,X11)))=>s(t_bool,X11)=s(t_bool,X10))),file('i/f/bit/SBIT__MULT', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(34, 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)).
fof(37, axiom,![X18]:![X9]:![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,X9),s(t_h4s_nums_num,X18)))))=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,X9))),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X18))))),file('i/f/bit/SBIT__MULT', ah4s_arithmetics_EXPu_u_ADD)).
fof(39, 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_nums_0)<=>(s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0)|s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/bit/SBIT__MULT', ah4s_arithmetics_MULTu_u_EQu_u_0)).
fof(43, axiom,![X1]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),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)))))),file('i/f/bit/SBIT__MULT', ah4s_bits_ZEROu_u_LTu_u_TWOEXP)).
fof(44, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_0)))=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/SBIT__MULT', ah4s_arithmetics_EXP0u_c0)).
fof(47, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X1),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),file('i/f/bit/SBIT__MULT', ah4s_arithmetics_EXPu_u_1u_c1)).
fof(51, axiom,![X1]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X1))),file('i/f/bit/SBIT__MULT', ah4s_numerals_numeralu_u_distribu_c21)).
fof(53, axiom,![X1]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/bit/SBIT__MULT', ah4s_numerals_numeralu_u_lteu_c2)).
fof(54, axiom,![X1]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1)))))=s(t_bool,t),file('i/f/bit/SBIT__MULT', ah4s_numerals_numeralu_u_ltu_c1)).
fof(55, axiom,![X4]:![X10]:![X11]:s(X4,h4s_bools_cond(s(t_bool,t),s(X4,X11),s(X4,X10)))=s(X4,X11),file('i/f/bit/SBIT__MULT', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(56, axiom,![X4]:![X10]:![X11]:s(X4,h4s_bools_cond(s(t_bool,f),s(X4,X11),s(X4,X10)))=s(X4,X10),file('i/f/bit/SBIT__MULT', ah4s_bools_CONDu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
