# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_bool,h4s_options_optrel(s(t_fun(X1,t_fun(X1,t_bool)),X3),s(t_h4s_options_option(X1),h4s_options_none),s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X2)))))=s(t_bool,f),file('i/f/quotient_option/OPTION__REL__def_c2', ch4s_quotientu_u_options_OPTIONu_u_RELu_u_defu_c2)).
fof(3, axiom,![X1]:![X8]:~(s(t_h4s_options_option(X1),h4s_options_none)=s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X8)))),file('i/f/quotient_option/OPTION__REL__def_c2', ah4s_options_NOTu_u_NONEu_u_SOME)).
fof(46, axiom,![X11]:(s(t_bool,X11)=s(t_bool,t)|s(t_bool,X11)=s(t_bool,f)),file('i/f/quotient_option/OPTION__REL__def_c2', aHLu_BOOLu_CASES)).
fof(66, axiom,p(s(t_bool,t)),file('i/f/quotient_option/OPTION__REL__def_c2', aHLu_TRUTH)).
fof(76, axiom,![X1]:![X15]:![X2]:![X8]:![X3]:(p(s(t_bool,h4s_options_optrel(s(t_fun(X1,t_fun(X15,t_bool)),X3),s(t_h4s_options_option(X1),X8),s(t_h4s_options_option(X15),X2))))<=>((s(t_h4s_options_option(X1),X8)=s(t_h4s_options_option(X1),h4s_options_none)&s(t_h4s_options_option(X15),X2)=s(t_h4s_options_option(X15),h4s_options_none))|?[X28]:?[X29]:(s(t_h4s_options_option(X1),X8)=s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X28)))&(s(t_h4s_options_option(X15),X2)=s(t_h4s_options_option(X15),happ(s(t_fun(X15,t_h4s_options_option(X15)),h4s_options_some),s(X15,X29)))&p(s(t_bool,happ(s(t_fun(X15,t_bool),happ(s(t_fun(X1,t_fun(X15,t_bool)),X3),s(X1,X28))),s(X15,X29)))))))),file('i/f/quotient_option/OPTION__REL__def_c2', ah4s_options_OPTRELu_u_def)).
# SZS output end CNFRefutation
