# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(![X4]:![X5]:![X6]:p(s(t_bool,happ(s(t_fun(t_h4s_binaryu_u_ieees_float(X1,X2),t_bool),X3),s(t_h4s_binaryu_u_ieees_float(X1,X2),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X1),t_h4s_binaryu_u_ieees_float(X1,X2)),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_fun(t_h4s_fcps_cart(t_bool,X1),t_h4s_binaryu_u_ieees_float(X1,X2))),happ(s(t_fun(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),t_fun(t_h4s_fcps_cart(t_bool,X2),t_fun(t_h4s_fcps_cart(t_bool,X1),t_h4s_binaryu_u_ieees_float(X1,X2)))),h4s_binaryu_u_ieees_float0),s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),X4))),s(t_h4s_fcps_cart(t_bool,X2),X5))),s(t_h4s_fcps_cart(t_bool,X1),X6))))))=>![X7]:p(s(t_bool,happ(s(t_fun(t_h4s_binaryu_u_ieees_float(X1,X2),t_bool),X3),s(t_h4s_binaryu_u_ieees_float(X1,X2),X7))))),file('i/f/binary_ieee/float__induction', ch4s_binaryu_u_ieees_floatu_u_induction)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/binary_ieee/float__induction', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/binary_ieee/float__induction', aHLu_FALSITY)).
fof(39, axiom,![X2]:![X1]:![X26]:?[X4]:?[X5]:?[X6]:s(t_h4s_binaryu_u_ieees_float(X1,X2),X26)=s(t_h4s_binaryu_u_ieees_float(X1,X2),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X1),t_h4s_binaryu_u_ieees_float(X1,X2)),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_fun(t_h4s_fcps_cart(t_bool,X1),t_h4s_binaryu_u_ieees_float(X1,X2))),happ(s(t_fun(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),t_fun(t_h4s_fcps_cart(t_bool,X2),t_fun(t_h4s_fcps_cart(t_bool,X1),t_h4s_binaryu_u_ieees_float(X1,X2)))),h4s_binaryu_u_ieees_float0),s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),X4))),s(t_h4s_fcps_cart(t_bool,X2),X5))),s(t_h4s_fcps_cart(t_bool,X1),X6))),file('i/f/binary_ieee/float__induction', ah4s_binaryu_u_ieees_floatu_u_nchotomy)).
fof(68, axiom,![X12]:(s(t_bool,X12)=s(t_bool,t)|s(t_bool,X12)=s(t_bool,f0)),file('i/f/binary_ieee/float__induction', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
