# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/real/add__ratl', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/real/add__ratl', aHLu_FALSITY)).
fof(14, axiom,![X9]:![X7]:![X8]:s(X9,h4s_bools_cond(s(t_bool,t),s(X9,X8),s(X9,X7)))=s(X9,X8),file('i/f/real/add__ratl', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(15, axiom,![X9]:![X7]:![X8]:s(X9,h4s_bools_cond(s(t_bool,f),s(X9,X8),s(X9,X7)))=s(X9,X7),file('i/f/real/add__ratl', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(18, axiom,![X9]:![X6]:s(X9,h4s_markers_unint(s(X9,X6)))=s(X9,X6),file('i/f/real/add__ratl', ah4s_markers_unintu_u_def)).
fof(19, axiom,![X16]:(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X16)))=s(t_h4s_nums_num,h4s_nums_0)<=>s(t_h4s_nums_num,X16)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/real/add__ratl', ah4s_numerals_numeralu_u_distribu_c17)).
fof(20, axiom,![X16]:(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X16)))=s(t_h4s_nums_num,h4s_arithmetics_zero)<=>p(s(t_bool,f))),file('i/f/real/add__ratl', ah4s_numerals_numeralu_u_equ_c1)).
fof(21, axiom,![X10]:![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X10)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X6))),file('i/f/real/add__ratl', ah4s_reals_REALu_u_MULu_u_COMM)).
fof(22, axiom,![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(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_realaxs_real,X6),file('i/f/real/add__ratl', ah4s_reals_REALu_u_MULu_u_RID)).
fof(24, axiom,![X16]:![X18]:(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X18)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X16)))<=>s(t_h4s_nums_num,X18)=s(t_h4s_nums_num,X16)),file('i/f/real/add__ratl', ah4s_reals_REALu_u_INJ)).
fof(25, axiom,![X6]:s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(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_realaxs_real,X6),file('i/f/real/add__ratl', ah4s_reals_REALu_u_OVER1)).
fof(26, axiom,![X19]:![X20]:![X21]:![X22]:((~(s(t_h4s_realaxs_real,X21)=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))&~(s(t_h4s_realaxs_real,X19)=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=>s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X22),s(t_h4s_realaxs_real,X21))),s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X20),s(t_h4s_realaxs_real,X19)))))=s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X22),s(t_h4s_realaxs_real,X19))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X21),s(t_h4s_realaxs_real,X20))))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X21),s(t_h4s_realaxs_real,X19)))))),file('i/f/real/add__ratl', ah4s_reals_REALu_u_ADDu_u_RAT)).
fof(27, conjecture,![X17]:![X10]:![X6]:?[X23]:((p(s(t_bool,X23))<=>s(t_h4s_realaxs_real,X10)=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))&s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X10))),s(t_h4s_realaxs_real,X17)))=s(t_h4s_realaxs_real,h4s_bools_cond(s(t_bool,X23),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_markers_unint(s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X10))))),s(t_h4s_realaxs_real,X17))),s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X17),s(t_h4s_realaxs_real,X10))))),s(t_h4s_realaxs_real,X10)))))),file('i/f/real/add__ratl', ch4s_reals_addu_u_ratl)).
# SZS output end CNFRefutation
