# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/option/OPTREL__refl', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/option/OPTREL__refl', aHLu_FALSITY)).
fof(24, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/option/OPTREL__refl', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(25, axiom,![X1]:(s(t_bool,X1)=s(t_bool,f)<=>~(p(s(t_bool,X1)))),file('i/f/option/OPTREL__refl', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(41, axiom,![X9]:![X18]:(s(t_h4s_options_option(X9),X18)=s(t_h4s_options_option(X9),h4s_options_none)|?[X6]:s(t_h4s_options_option(X9),X18)=s(t_h4s_options_option(X9),h4s_options_some(s(X9,X6)))),file('i/f/option/OPTREL__refl', ah4s_options_optionu_u_nchotomy)).
fof(45, axiom,![X9]:![X19]:![X10]:![X6]:![X20]:(p(s(t_bool,h4s_options_optrel(s(t_fun(X9,t_fun(X19,t_bool)),X20),s(t_h4s_options_option(X9),X6),s(t_h4s_options_option(X19),X10))))<=>((s(t_h4s_options_option(X9),X6)=s(t_h4s_options_option(X9),h4s_options_none)&s(t_h4s_options_option(X19),X10)=s(t_h4s_options_option(X19),h4s_options_none))|?[X21]:?[X22]:(s(t_h4s_options_option(X9),X6)=s(t_h4s_options_option(X9),h4s_options_some(s(X9,X21)))&(s(t_h4s_options_option(X19),X10)=s(t_h4s_options_option(X19),h4s_options_some(s(X19,X22)))&p(s(t_bool,happ(s(t_fun(X19,t_bool),happ(s(t_fun(X9,t_fun(X19,t_bool)),X20),s(X9,X21))),s(X19,X22)))))))),file('i/f/option/OPTREL__refl', ah4s_options_OPTRELu_u_def)).
fof(46, conjecture,![X9]:![X20]:(![X6]:p(s(t_bool,happ(s(t_fun(X9,t_bool),happ(s(t_fun(X9,t_fun(X9,t_bool)),X20),s(X9,X6))),s(X9,X6))))=>![X6]:p(s(t_bool,h4s_options_optrel(s(t_fun(X9,t_fun(X9,t_bool)),X20),s(t_h4s_options_option(X9),X6),s(t_h4s_options_option(X9),X6))))),file('i/f/option/OPTREL__refl', ch4s_options_OPTRELu_u_refl)).
# SZS output end CNFRefutation
