# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X4,t_fun(X4,t_bool)),X7),s(t_fun(X4,X1),X6),s(t_fun(X1,X4),X5))))=>![X8]:![X9]:![X10]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X3,t_fun(X3,t_bool)),X8),s(t_fun(X3,X2),X9),s(t_fun(X2,X3),X10))))=>![X11]:![X12]:![X13]:![X14]:((p(s(t_bool,h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X4,t_fun(X4,t_bool)),X7),s(t_fun(X3,t_fun(X3,t_bool)),X8),s(t_fun(X4,X3),X13),s(t_fun(X4,X3),X14))))&p(s(t_bool,h4s_options_optrel(s(t_fun(X4,t_fun(X4,t_bool)),X7),s(t_h4s_options_option(X4),X11),s(t_h4s_options_option(X4),X12)))))=>p(s(t_bool,h4s_options_optrel(s(t_fun(X3,t_fun(X3,t_bool)),X8),s(t_h4s_options_option(X3),h4s_options_optionu_u_map(s(t_fun(X4,X3),X13),s(t_h4s_options_option(X4),X11))),s(t_h4s_options_option(X3),h4s_options_optionu_u_map(s(t_fun(X4,X3),X14),s(t_h4s_options_option(X4),X12))))))))),file('i/f/quotient_option/OPTION__MAP__RSP', ch4s_quotientu_u_options_OPTIONu_u_MAPu_u_RSP)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/quotient_option/OPTION__MAP__RSP', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/quotient_option/OPTION__MAP__RSP', aHLu_FALSITY)).
fof(9, axiom,![X4]:![X16]:s(t_bool,h4s_options_optrel(s(t_fun(X4,t_fun(X4,t_bool)),X16),s(t_h4s_options_option(X4),h4s_options_none),s(t_h4s_options_option(X4),h4s_options_none)))=s(t_bool,t),file('i/f/quotient_option/OPTION__MAP__RSP', ah4s_quotientu_u_options_OPTIONu_u_RELu_u_defu_c0)).
fof(10, axiom,![X4]:![X17]:![X16]:s(t_bool,h4s_options_optrel(s(t_fun(X4,t_fun(X4,t_bool)),X16),s(t_h4s_options_option(X4),h4s_options_some(s(X4,X17))),s(t_h4s_options_option(X4),h4s_options_none)))=s(t_bool,f),file('i/f/quotient_option/OPTION__MAP__RSP', ah4s_quotientu_u_options_OPTIONu_u_RELu_u_defu_c1)).
fof(11, axiom,![X4]:![X18]:![X16]:s(t_bool,h4s_options_optrel(s(t_fun(X4,t_fun(X4,t_bool)),X16),s(t_h4s_options_option(X4),h4s_options_none),s(t_h4s_options_option(X4),h4s_options_some(s(X4,X18)))))=s(t_bool,f),file('i/f/quotient_option/OPTION__MAP__RSP', ah4s_quotientu_u_options_OPTIONu_u_RELu_u_defu_c2)).
fof(12, axiom,![X4]:![X18]:![X17]:![X16]:s(t_bool,h4s_options_optrel(s(t_fun(X4,t_fun(X4,t_bool)),X16),s(t_h4s_options_option(X4),h4s_options_some(s(X4,X17))),s(t_h4s_options_option(X4),h4s_options_some(s(X4,X18)))))=s(t_bool,happ(s(t_fun(X4,t_bool),happ(s(t_fun(X4,t_fun(X4,t_bool)),X16),s(X4,X17))),s(X4,X18))),file('i/f/quotient_option/OPTION__MAP__RSP', ah4s_quotientu_u_options_OPTIONu_u_RELu_u_defu_c3)).
fof(13, axiom,![X3]:![X4]:![X17]:![X19]:s(t_h4s_options_option(X3),h4s_options_optionu_u_map(s(t_fun(X4,X3),X19),s(t_h4s_options_option(X4),h4s_options_some(s(X4,X17)))))=s(t_h4s_options_option(X3),h4s_options_some(s(X3,happ(s(t_fun(X4,X3),X19),s(X4,X17))))),file('i/f/quotient_option/OPTION__MAP__RSP', ah4s_options_OPTIONu_u_MAPu_u_DEFu_c0)).
fof(14, axiom,![X4]:![X3]:![X19]:s(t_h4s_options_option(X3),h4s_options_optionu_u_map(s(t_fun(X4,X3),X19),s(t_h4s_options_option(X4),h4s_options_none)))=s(t_h4s_options_option(X3),h4s_options_none),file('i/f/quotient_option/OPTION__MAP__RSP', ah4s_options_OPTIONu_u_MAPu_u_DEFu_c1)).
fof(15, axiom,![X4]:![X20]:(s(t_h4s_options_option(X4),X20)=s(t_h4s_options_option(X4),h4s_options_none)|?[X17]:s(t_h4s_options_option(X4),X20)=s(t_h4s_options_option(X4),h4s_options_some(s(X4,X17)))),file('i/f/quotient_option/OPTION__MAP__RSP', ah4s_options_optionu_u_nchotomy)).
fof(16, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X4,t_fun(X4,t_bool)),X7),s(t_fun(X4,X1),X6),s(t_fun(X1,X4),X5))))=>![X8]:![X9]:![X10]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X3,t_fun(X3,t_bool)),X8),s(t_fun(X3,X2),X9),s(t_fun(X2,X3),X10))))=>![X19]:![X21]:![X17]:![X18]:((p(s(t_bool,h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X4,t_fun(X4,t_bool)),X7),s(t_fun(X3,t_fun(X3,t_bool)),X8),s(t_fun(X4,X3),X19),s(t_fun(X4,X3),X21))))&p(s(t_bool,happ(s(t_fun(X4,t_bool),happ(s(t_fun(X4,t_fun(X4,t_bool)),X7),s(X4,X17))),s(X4,X18)))))=>p(s(t_bool,happ(s(t_fun(X3,t_bool),happ(s(t_fun(X3,t_fun(X3,t_bool)),X8),s(X3,happ(s(t_fun(X4,X3),X19),s(X4,X17))))),s(X3,happ(s(t_fun(X4,X3),X21),s(X4,X18))))))))),file('i/f/quotient_option/OPTION__MAP__RSP', ah4s_quotients_FUNu_u_RELu_u_MP)).
# SZS output end CNFRefutation
