# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:((![X2]:p(s(t_bool,happ(s(t_fun(t_h4s_binaryu_u_ieees_floatu_u_value,t_bool),X1),s(t_h4s_binaryu_u_ieees_floatu_u_value,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_binaryu_u_ieees_floatu_u_value),h4s_binaryu_u_ieees_float),s(t_h4s_realaxs_real,X2))))))&(p(s(t_bool,happ(s(t_fun(t_h4s_binaryu_u_ieees_floatu_u_value,t_bool),X1),s(t_h4s_binaryu_u_ieees_floatu_u_value,h4s_binaryu_u_ieees_infinity))))&p(s(t_bool,happ(s(t_fun(t_h4s_binaryu_u_ieees_floatu_u_value,t_bool),X1),s(t_h4s_binaryu_u_ieees_floatu_u_value,h4s_binaryu_u_ieees_nan))))))=>![X3]:p(s(t_bool,happ(s(t_fun(t_h4s_binaryu_u_ieees_floatu_u_value,t_bool),X1),s(t_h4s_binaryu_u_ieees_floatu_u_value,X3))))),file('i/f/binary_ieee/float__value__induction', ch4s_binaryu_u_ieees_floatu_u_valueu_u_induction)).
fof(2, axiom,~(p(s(t_bool,f0))),file('i/f/binary_ieee/float__value__induction', aHLu_FALSITY)).
fof(6, axiom,![X7]:(s(t_bool,X7)=s(t_bool,f0)<=>~(p(s(t_bool,X7)))),file('i/f/binary_ieee/float__value__induction', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(31, axiom,![X19]:(?[X2]:s(t_h4s_binaryu_u_ieees_floatu_u_value,X19)=s(t_h4s_binaryu_u_ieees_floatu_u_value,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_binaryu_u_ieees_floatu_u_value),h4s_binaryu_u_ieees_float),s(t_h4s_realaxs_real,X2)))|(s(t_h4s_binaryu_u_ieees_floatu_u_value,X19)=s(t_h4s_binaryu_u_ieees_floatu_u_value,h4s_binaryu_u_ieees_infinity)|s(t_h4s_binaryu_u_ieees_floatu_u_value,X19)=s(t_h4s_binaryu_u_ieees_floatu_u_value,h4s_binaryu_u_ieees_nan))),file('i/f/binary_ieee/float__value__induction', ah4s_binaryu_u_ieees_floatu_u_valueu_u_nchotomy)).
fof(37, axiom,s(t_h4s_binaryu_u_ieees_floatu_u_value,h4s_binaryu_u_ieees_nan)=s(t_h4s_binaryu_u_ieees_floatu_u_value,h4s_binaryu_u_ieees_u_20u_40indu_u_typebinaryu_u_ieee5),file('i/f/binary_ieee/float__value__induction', ah4s_binaryu_u_ieees_NaN0)).
fof(42, axiom,s(t_h4s_binaryu_u_ieees_floatu_u_value,h4s_binaryu_u_ieees_infinity)=s(t_h4s_binaryu_u_ieees_floatu_u_value,h4s_binaryu_u_ieees_u_20u_40indu_u_typebinaryu_u_ieee4),file('i/f/binary_ieee/float__value__induction', ah4s_binaryu_u_ieees_Infinity0)).
fof(53, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f0)),file('i/f/binary_ieee/float__value__induction', aHLu_BOOLu_CASES)).
fof(54, axiom,(~(p(s(t_bool,f0)))<=>p(s(t_bool,t))),file('i/f/binary_ieee/float__value__induction', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
