# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/option/OPTREL__MONO', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/option/OPTREL__MONO', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/option/OPTREL__MONO', aHLu_BOOLu_CASES)).
fof(6, axiom,![X7]:![X8]:((p(s(t_bool,X8))=>p(s(t_bool,X7)))=>((p(s(t_bool,X7))=>p(s(t_bool,X8)))=>s(t_bool,X8)=s(t_bool,X7))),file('i/f/option/OPTREL__MONO', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(15, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/option/OPTREL__MONO', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(20, axiom,![X9]:![X6]:~(s(t_h4s_options_option(X9),h4s_options_none)=s(t_h4s_options_option(X9),h4s_options_some(s(X9,X6)))),file('i/f/option/OPTREL__MONO', ah4s_options_NOTu_u_NONEu_u_SOME)).
fof(21, axiom,![X9]:![X16]:![X10]:![X6]:![X17]:(p(s(t_bool,h4s_options_optrel(s(t_fun(X9,t_fun(X16,t_bool)),X17),s(t_h4s_options_option(X9),X6),s(t_h4s_options_option(X16),X10))))<=>((s(t_h4s_options_option(X9),X6)=s(t_h4s_options_option(X9),h4s_options_none)&s(t_h4s_options_option(X16),X10)=s(t_h4s_options_option(X16),h4s_options_none))|?[X18]:?[X19]:(s(t_h4s_options_option(X9),X6)=s(t_h4s_options_option(X9),h4s_options_some(s(X9,X18)))&(s(t_h4s_options_option(X16),X10)=s(t_h4s_options_option(X16),h4s_options_some(s(X16,X19)))&p(s(t_bool,happ(s(t_fun(X16,t_bool),happ(s(t_fun(X9,t_fun(X16,t_bool)),X17),s(X9,X18))),s(X16,X19)))))))),file('i/f/option/OPTREL__MONO', ah4s_options_OPTRELu_u_def)).
fof(22, conjecture,![X9]:![X16]:![X10]:![X6]:![X20]:![X15]:(![X18]:![X19]:(p(s(t_bool,happ(s(t_fun(X16,t_bool),happ(s(t_fun(X9,t_fun(X16,t_bool)),X15),s(X9,X18))),s(X16,X19))))=>p(s(t_bool,happ(s(t_fun(X16,t_bool),happ(s(t_fun(X9,t_fun(X16,t_bool)),X20),s(X9,X18))),s(X16,X19)))))=>(p(s(t_bool,h4s_options_optrel(s(t_fun(X9,t_fun(X16,t_bool)),X15),s(t_h4s_options_option(X9),X6),s(t_h4s_options_option(X16),X10))))=>p(s(t_bool,h4s_options_optrel(s(t_fun(X9,t_fun(X16,t_bool)),X20),s(t_h4s_options_option(X9),X6),s(t_h4s_options_option(X16),X10)))))),file('i/f/option/OPTREL__MONO', ch4s_options_OPTRELu_u_MONO)).
# SZS output end CNFRefutation
