# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:s(t_h4s_nums_num,h4s_numeralu_u_bits_bitu_u_modf(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X3))))),s(t_fun(t_h4s_nums_num,t_fun(t_bool,t_bool)),X4),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_numeralu_u_bits_bitu_u_modf(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X3))))),s(t_fun(t_h4s_nums_num,t_fun(t_bool,t_bool)),X4),s(t_h4s_nums_num,h4s_arithmetics_div2(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X2))))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X6),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_numeral(s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,X5))))),s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,happ(s(t_fun(t_bool,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_bool,t_bool)),X4),s(t_h4s_nums_num,X6))),s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_arithmetics_odd),s(t_h4s_nums_num,X2))))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X1))))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ch4s_numeralu_u_bits_NUMERALu_u_BITu_u_MODFu_c4)).
fof(4, 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/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(10, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_arithmetics_ALTu_u_ZERO)).
fof(15, axiom,![X3]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X3)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X3))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_numerals_numeralu_u_sucu_c1)).
fof(18, axiom,![X3]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_arithmetics_BIT10)).
fof(21, axiom,![X3]:![X17]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X17))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_arithmetics_ADDu_u_SYM)).
fof(26, axiom,s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_numerals_numeralu_u_sucu_c0)).
fof(28, axiom,![X3]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(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,X3))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(35, axiom,![X17]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X17)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),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/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_arithmetics_ADD1)).
fof(36, axiom,![X17]:(s(t_h4s_nums_num,X17)=s(t_h4s_nums_num,h4s_nums_0)|?[X3]:s(t_h4s_nums_num,X17)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3)))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_arithmetics_numu_u_CASES)).
fof(38, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:s(t_h4s_nums_num,h4s_numeralu_u_bits_bitu_u_modf(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3))),s(t_fun(t_h4s_nums_num,t_fun(t_bool,t_bool)),X4),s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_numeralu_u_bits_bitu_u_modf(s(t_h4s_nums_num,X3),s(t_fun(t_h4s_nums_num,t_fun(t_bool,t_bool)),X4),s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X2),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_arithmetics_u_2b(s(t_h4s_nums_num,X6),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,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,happ(s(t_fun(t_bool,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_bool,t_bool)),X4),s(t_h4s_nums_num,X6))),s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_arithmetics_odd),s(t_h4s_nums_num,X2))))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X1))))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_numeralu_u_bits_BITu_u_MODFu_u_defu_c1)).
fof(48, axiom,![X10]:![X13]:![X14]:s(X10,h4s_bools_cond(s(t_bool,t),s(X10,X14),s(X10,X13)))=s(X10,X14),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(49, axiom,![X3]:![X6]:s(t_h4s_nums_num,h4s_bits_sbit(s(t_bool,X6),s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,X6),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,X3))),s(t_h4s_nums_num,h4s_nums_0))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_bits_SBITu_u_def)).
fof(52, axiom,![X2]:s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X2))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_numerals_iDUB0)).
fof(53, axiom,![X18]:![X3]:![X17]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,X18)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X18))),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X18))))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_arithmetics_RIGHTu_u_ADDu_u_DISTRIB)).
fof(54, axiom,![X3]:s(t_h4s_nums_num,h4s_arithmetics_div2(s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_arithmetics_DIV2u_u_def)).
fof(55, 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/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_arithmetics_MULTu_u_LEFTu_u_1)).
fof(58, axiom,![X17]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X17),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/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_arithmetics_EXP0u_c0)).
fof(73, axiom,~(p(s(t_bool,f0))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', aHLu_FALSITY)).
fof(78, axiom,![X3]:(s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X3)))<=>p(s(t_bool,f0))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_numerals_numeralu_u_equ_c0)).
fof(80, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_div2(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X2)))))=s(t_h4s_nums_num,X2),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_numerals_DIV2u_u_BIT1)).
# SZS output end CNFRefutation
