# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/real/REAL__DIV__DENOM__CANCEL3', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/real/REAL__DIV__DENOM__CANCEL3', aHLu_FALSITY)).
fof(7, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/real/REAL__DIV__DENOM__CANCEL3', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(22, axiom,![X15]:![X16]:(s(t_h4s_nums_num,X16)=s(t_h4s_nums_num,X15)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X15))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X16)))))),file('i/f/real/REAL__DIV__DENOM__CANCEL3', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(23, axiom,![X15]:![X16]:(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X16)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X15)))<=>s(t_h4s_nums_num,X16)=s(t_h4s_nums_num,X15)),file('i/f/real/REAL__DIV__DENOM__CANCEL3', ah4s_reals_REALu_u_INJ)).
fof(24, axiom,![X15]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X15))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/real/REAL__DIV__DENOM__CANCEL3', ah4s_numerals_numeralu_u_distribu_c27)).
fof(25, axiom,![X1]:((p(s(t_bool,X1))=>p(s(t_bool,f)))<=>s(t_bool,X1)=s(t_bool,f)),file('i/f/real/REAL__DIV__DENOM__CANCEL3', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(29, axiom,![X15]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X15)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15))),file('i/f/real/REAL__DIV__DENOM__CANCEL3', ah4s_numerals_numeralu_u_addu_c6)).
fof(35, axiom,![X15]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X15),file('i/f/real/REAL__DIV__DENOM__CANCEL3', ah4s_numerals_numeralu_u_distribu_c1)).
fof(38, 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/real/REAL__DIV__DENOM__CANCEL3', ah4s_numerals_numeralu_u_sucu_c0)).
fof(40, axiom,![X15]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X15))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/real/REAL__DIV__DENOM__CANCEL3', ah4s_numerals_numeralu_u_lteu_c1)).
fof(43, axiom,![X15]:![X16]:(~(s(t_h4s_nums_num,X16)=s(t_h4s_nums_num,X15))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X16))),s(t_h4s_nums_num,X15))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15))),s(t_h4s_nums_num,X16)))))),file('i/f/real/REAL__DIV__DENOM__CANCEL3', ah4s_arithmetics_NOTu_u_NUMu_u_EQ)).
fof(52, axiom,![X14]:![X8]:![X6]:(~(s(t_h4s_realaxs_real,X6)=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_reals_u_2f(s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X6))),s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X14),s(t_h4s_realaxs_real,X6)))))=s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X14)))),file('i/f/real/REAL__DIV__DENOM__CANCEL3', ah4s_reals_REALu_u_DIVu_u_DENOMu_u_CANCEL)).
fof(125, axiom,![X1]:(s(t_bool,X1)=s(t_bool,f)<=>~(p(s(t_bool,X1)))),file('i/f/real/REAL__DIV__DENOM__CANCEL3', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(133, conjecture,![X14]:![X8]:s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X8),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_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))),s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X14),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_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))))))=s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X14))),file('i/f/real/REAL__DIV__DENOM__CANCEL3', ch4s_reals_REALu_u_DIVu_u_DENOMu_u_CANCEL3)).
# SZS output end CNFRefutation
