# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(6, axiom,![X11]:![X6]:![X10]:![X4]:![X8]:![X12]: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,X10))),s(t_fun(t_h4s_nums_num,t_fun(t_bool,t_bool)),X4),s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X11)))=s(t_h4s_nums_num,h4s_numeralu_u_bits_bitu_u_modf(s(t_h4s_nums_num,X10),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,X6),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,X12),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,X8))),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,X12))),s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_arithmetics_odd),s(t_h4s_nums_num,X6))))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X11))),s(t_h4s_nums_num,X11))))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c3', ah4s_numeralu_u_bits_BITu_u_MODFu_u_defu_c1)).
fof(13, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,X6),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c3', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(19, axiom,![X6]:s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X6))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c3', ah4s_numerals_iDUB0)).
fof(30, 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_c3', ah4s_arithmetics_ALTu_u_ZERO)).
fof(33, axiom,![X10]:s(t_h4s_nums_num,h4s_arithmetics_div2(s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X10),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_c3', ah4s_arithmetics_DIV2u_u_def)).
fof(53, axiom,![X10]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c3', ah4s_arithmetics_BIT10)).
fof(67, axiom,![X10]:![X21]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X21))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c3', ah4s_arithmetics_ADDu_u_COMM)).
fof(96, 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_c3', ah4s_numerals_numeralu_u_sucu_c0)).
fof(106, axiom,![X10]:![X21]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X21))),s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X10))))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c3', ah4s_arithmetics_ADDu_u_CLAUSESu_c2)).
fof(123, axiom,![X21]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X21))),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,X21),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c3', ah4s_arithmetics_SUCu_u_SUB1)).
fof(124, axiom,![X21]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X21)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X21),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_c3', ah4s_arithmetics_ADD1)).
fof(125, axiom,![X10]: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,X10)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X10))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c3', ah4s_arithmetics_TIMES2)).
fof(133, conjecture,![X11]:![X6]:![X10]:![X4]:![X8]:![X12]: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,X10))))),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,X6))),s(t_h4s_nums_num,X12),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,X11)))=s(t_h4s_nums_num,h4s_numeralu_u_bits_bitu_u_modf(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X10))))),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_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,X6))))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X12),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,X8))))),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,X12))),s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_arithmetics_odd),s(t_h4s_nums_num,X6))))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,X11))),s(t_h4s_nums_num,X11))))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c3', ch4s_numeralu_u_bits_NUMERALu_u_BITu_u_MODFu_c3)).
# SZS output end CNFRefutation
