# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:s(t_bool,h4s_options_optrel(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(t_h4s_options_option(X1),h4s_options_some(s(X1,X3))),s(t_h4s_options_option(X1),h4s_options_some(s(X1,X2)))))=s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X3))),s(X1,X2))),file('i/f/quotient_option/OPTION__REL__def_c3', ch4s_quotientu_u_options_OPTIONu_u_RELu_u_defu_c3)).
fof(2, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/quotient_option/OPTION__REL__def_c3', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(6, axiom,![X1]:![X12]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_options_optrel(s(t_fun(X1,t_fun(X12,t_bool)),X4),s(t_h4s_options_option(X1),X3),s(t_h4s_options_option(X12),X2))))<=>((s(t_h4s_options_option(X1),X3)=s(t_h4s_options_option(X1),h4s_options_none)&s(t_h4s_options_option(X12),X2)=s(t_h4s_options_option(X12),h4s_options_none))|?[X13]:?[X14]:(s(t_h4s_options_option(X1),X3)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X13)))&(s(t_h4s_options_option(X12),X2)=s(t_h4s_options_option(X12),h4s_options_some(s(X12,X14)))&p(s(t_bool,happ(s(t_fun(X12,t_bool),happ(s(t_fun(X1,t_fun(X12,t_bool)),X4),s(X1,X13))),s(X12,X14)))))))),file('i/f/quotient_option/OPTION__REL__def_c3', ah4s_options_OPTRELu_u_def)).
fof(7, axiom,![X1]:![X2]:![X3]:(s(t_h4s_options_option(X1),h4s_options_some(s(X1,X3)))=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X2)))<=>s(X1,X3)=s(X1,X2)),file('i/f/quotient_option/OPTION__REL__def_c3', ah4s_options_optionu_u_CLAUSESu_c0)).
fof(8, axiom,![X1]:![X3]:~(s(t_h4s_options_option(X1),h4s_options_none)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X3)))),file('i/f/quotient_option/OPTION__REL__def_c3', ah4s_options_optionu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
