# 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),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(2, axiom,p(s(t_bool,t)),file('i/f/quotient_option/OPTION__REL__def_c2', aHLu_TRUTH)).
fof(4, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/quotient_option/OPTION__REL__def_c2', aHLu_BOOLu_CASES)).
fof(20, axiom,![X1]:![X8]:![X2]:![X7]:![X3]:(p(s(t_bool,h4s_options_optrel(s(t_fun(X1,t_fun(X8,t_bool)),X3),s(t_h4s_options_option(X1),X7),s(t_h4s_options_option(X8),X2))))<=>((s(t_h4s_options_option(X1),X7)=s(t_h4s_options_option(X1),h4s_options_none)&s(t_h4s_options_option(X8),X2)=s(t_h4s_options_option(X8),h4s_options_none))|?[X9]:?[X10]:(s(t_h4s_options_option(X1),X7)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X9)))&(s(t_h4s_options_option(X8),X2)=s(t_h4s_options_option(X8),h4s_options_some(s(X8,X10)))&p(s(t_bool,happ(s(t_fun(X8,t_bool),happ(s(t_fun(X1,t_fun(X8,t_bool)),X3),s(X1,X9))),s(X8,X10)))))))),file('i/f/quotient_option/OPTION__REL__def_c2', ah4s_options_OPTRELu_u_def)).
fof(21, axiom,![X1]:![X7]:~(s(t_h4s_options_option(X1),h4s_options_none)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X7)))),file('i/f/quotient_option/OPTION__REL__def_c2', ah4s_options_optionu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
