# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_bool,h4s_options_optrel(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(t_h4s_options_option(X1),h4s_options_none),s(t_h4s_options_option(X1),h4s_options_none)))=s(t_bool,t),file('i/f/quotient_option/OPTION__REL__def_c0', ch4s_quotientu_u_options_OPTIONu_u_RELu_u_defu_c0)).
fof(4, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/quotient_option/OPTION__REL__def_c0', aHLu_BOOLu_CASES)).
fof(8, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/quotient_option/OPTION__REL__def_c0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(39, axiom,![X1]:![X16]:![X3]:![X4]:![X2]:(p(s(t_bool,h4s_options_optrel(s(t_fun(X1,t_fun(X16,t_bool)),X2),s(t_h4s_options_option(X1),X4),s(t_h4s_options_option(X16),X3))))<=>((s(t_h4s_options_option(X1),X4)=s(t_h4s_options_option(X1),h4s_options_none)&s(t_h4s_options_option(X16),X3)=s(t_h4s_options_option(X16),h4s_options_none))|?[X17]:?[X18]:(s(t_h4s_options_option(X1),X4)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X17)))&(s(t_h4s_options_option(X16),X3)=s(t_h4s_options_option(X16),h4s_options_some(s(X16,X18)))&p(s(t_bool,happ(s(t_fun(X16,t_bool),happ(s(t_fun(X1,t_fun(X16,t_bool)),X2),s(X1,X17))),s(X16,X18)))))))),file('i/f/quotient_option/OPTION__REL__def_c0', ah4s_options_OPTRELu_u_def)).
fof(51, axiom,~(p(s(t_bool,f))),file('i/f/quotient_option/OPTION__REL__def_c0', aHLu_FALSITY)).
# SZS output end CNFRefutation
