# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_realaxs_realu_u_lt(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_pow(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_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_nums_num,X1)))))),file('i/f/float/twogz', ch4s_floats_twogz)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/float/twogz', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/float/twogz', aHLu_FALSITY)).
fof(15, axiom,![X2]:(s(t_bool,f)=s(t_bool,X2)<=>~(p(s(t_bool,X2)))),file('i/f/float/twogz', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(27, axiom,![X4]:![X1]:(p(s(t_bool,h4s_realaxs_realu_u_lt(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,X4))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(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_pow(s(t_h4s_realaxs_real,X4),s(t_h4s_nums_num,X1))))))),file('i/f/float/twogz', ah4s_reals_REALu_u_POWu_u_LT)).
fof(28, axiom,![X10]:![X4]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X10))))<=>~(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X4)))))),file('i/f/float/twogz', ah4s_reals_realu_u_lt)).
fof(31, axiom,![X1]:(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_nums_0)<=>s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/float/twogz', ah4s_numerals_numeralu_u_distribu_c17)).
fof(40, axiom,![X1]:![X11]:s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X11))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X1))),file('i/f/float/twogz', ah4s_reals_REALu_u_OFu_u_NUMu_u_LE)).
fof(41, axiom,![X1]:(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_zero)<=>p(s(t_bool,f))),file('i/f/float/twogz', ah4s_numerals_numeralu_u_equ_c3)).
fof(42, axiom,![X1]:s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,X1))))),file('i/f/float/twogz', ah4s_numerals_iDUBu_u_removalu_c0)).
fof(45, axiom,s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,h4s_arithmetics_zero),file('i/f/float/twogz', ah4s_numerals_iDUBu_u_removalu_c2)).
fof(51, axiom,![X1]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),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/float/twogz', ah4s_arithmetics_LEu_c0)).
fof(52, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/float/twogz', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
