# 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),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X2))),s(t_h4s_options_option(X1),h4s_options_none)))=s(t_bool,f),file('i/f/quotient_option/OPTION__REL__def_c1', ch4s_quotientu_u_options_OPTIONu_u_RELu_u_defu_c1)).
fof(3, axiom,![X1]:![X2]:~(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)))),file('i/f/quotient_option/OPTION__REL__def_c1', ah4s_options_NOTu_u_NONEu_u_SOME)).
fof(4, axiom,![X8]:![X9]:((p(s(t_bool,X9))=>p(s(t_bool,X8)))=>((p(s(t_bool,X8))=>p(s(t_bool,X9)))=>s(t_bool,X9)=s(t_bool,X8))),file('i/f/quotient_option/OPTION__REL__def_c1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(47, axiom,~(p(s(t_bool,f))),file('i/f/quotient_option/OPTION__REL__def_c1', aHLu_FALSITY)).
fof(77, axiom,![X1]:![X10]:![X14]:![X2]:![X3]:(p(s(t_bool,h4s_options_optrel(s(t_fun(X1,t_fun(X10,t_bool)),X3),s(t_h4s_options_option(X1),X2),s(t_h4s_options_option(X10),X14))))<=>((s(t_h4s_options_option(X1),X2)=s(t_h4s_options_option(X1),h4s_options_none)&s(t_h4s_options_option(X10),X14)=s(t_h4s_options_option(X10),h4s_options_none))|?[X29]:?[X30]:(s(t_h4s_options_option(X1),X2)=s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X29)))&(s(t_h4s_options_option(X10),X14)=s(t_h4s_options_option(X10),happ(s(t_fun(X10,t_h4s_options_option(X10)),h4s_options_some),s(X10,X30)))&p(s(t_bool,happ(s(t_fun(X10,t_bool),happ(s(t_fun(X1,t_fun(X10,t_bool)),X3),s(X1,X29))),s(X10,X30)))))))),file('i/f/quotient_option/OPTION__REL__def_c1', ah4s_options_OPTRELu_u_def)).
# SZS output end CNFRefutation
