# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:s(t_h4s_options_option(X1),h4s_options_optionu_u_map2(s(t_fun(X2,t_fun(X3,X1)),X6),s(t_h4s_options_option(X2),h4s_options_some(s(X2,X5))),s(t_h4s_options_option(X3),h4s_options_some(s(X3,X4)))))=s(t_h4s_options_option(X1),h4s_options_some(s(X1,happ(s(t_fun(X3,X1),happ(s(t_fun(X2,t_fun(X3,X1)),X6),s(X2,X5))),s(X3,X4))))),file('i/f/option/OPTION__MAP2__THM_c0', ch4s_options_OPTIONu_u_MAP2u_u_THMu_c0)).
fof(10, axiom,![X2]:![X3]:![X1]:![X4]:![X5]:![X6]:?[X15]:((p(s(t_bool,X15))<=>(p(s(t_bool,h4s_options_isu_u_some(s(t_h4s_options_option(X2),X5))))&p(s(t_bool,h4s_options_isu_u_some(s(t_h4s_options_option(X3),X4))))))&s(t_h4s_options_option(X1),h4s_options_optionu_u_map2(s(t_fun(X2,t_fun(X3,X1)),X6),s(t_h4s_options_option(X2),X5),s(t_h4s_options_option(X3),X4)))=s(t_h4s_options_option(X1),h4s_bools_cond(s(t_bool,X15),s(t_h4s_options_option(X1),h4s_options_some(s(X1,happ(s(t_fun(X3,X1),happ(s(t_fun(X2,t_fun(X3,X1)),X6),s(X2,h4s_options_the(s(t_h4s_options_option(X2),X5))))),s(X3,h4s_options_the(s(t_h4s_options_option(X3),X4))))))),s(t_h4s_options_option(X1),h4s_options_none)))),file('i/f/option/OPTION__MAP2__THM_c0', ah4s_options_OPTIONu_u_MAP2u_u_DEF)).
fof(27, axiom,![X1]:![X7]:![X8]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X8),s(X1,X7)))=s(X1,X8),file('i/f/option/OPTION__MAP2__THM_c0', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(37, axiom,![X1]:![X5]:s(X1,h4s_options_the(s(t_h4s_options_option(X1),h4s_options_some(s(X1,X5)))))=s(X1,X5),file('i/f/option/OPTION__MAP2__THM_c0', ah4s_options_THEu_u_DEF)).
fof(38, axiom,![X1]:![X5]:s(t_bool,h4s_options_isu_u_some(s(t_h4s_options_option(X1),h4s_options_some(s(X1,X5)))))=s(t_bool,t),file('i/f/option/OPTION__MAP2__THM_c0', ah4s_options_ISu_u_SOMEu_u_DEFu_c0)).
fof(39, axiom,![X1]:s(t_bool,h4s_options_isu_u_some(s(t_h4s_options_option(X1),h4s_options_none)))=s(t_bool,f0),file('i/f/option/OPTION__MAP2__THM_c0', ah4s_options_ISu_u_SOMEu_u_DEFu_c1)).
fof(40, axiom,p(s(t_bool,t)),file('i/f/option/OPTION__MAP2__THM_c0', aHLu_TRUTH)).
fof(51, axiom,~(p(s(t_bool,f0))),file('i/f/option/OPTION__MAP2__THM_c0', aHLu_FALSITY)).
fof(52, axiom,![X14]:(s(t_bool,X14)=s(t_bool,t)|s(t_bool,X14)=s(t_bool,f0)),file('i/f/option/OPTION__MAP2__THM_c0', aHLu_BOOLu_CASES)).
fof(62, axiom,![X14]:(s(t_bool,X14)=s(t_bool,f0)<=>~(p(s(t_bool,X14)))),file('i/f/option/OPTION__MAP2__THM_c0', ah4s_bools_EQu_u_CLAUSESu_c3)).
# SZS output end CNFRefutation
