# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:((s(t_h4s_options_option(X2),X4)=s(t_h4s_options_option(X2),X3)&![X7]:(s(t_h4s_options_option(X2),X3)=s(t_h4s_options_option(X2),happ(s(t_fun(X2,t_h4s_options_option(X2)),h4s_options_some),s(X2,X7)))=>s(X1,happ(s(t_fun(X2,X1),X6),s(X2,X7)))=s(X1,happ(s(t_fun(X2,X1),X5),s(X2,X7)))))=>s(t_h4s_options_option(X1),h4s_options_optionu_u_map(s(t_fun(X2,X1),X6),s(t_h4s_options_option(X2),X4)))=s(t_h4s_options_option(X1),h4s_options_optionu_u_map(s(t_fun(X2,X1),X5),s(t_h4s_options_option(X2),X3)))),file('i/f/option/OPTION__MAP__CONG', ch4s_options_OPTIONu_u_MAPu_u_CONG)).
fof(3, axiom,![X1]:![X2]:![X7]:![X9]:(s(t_h4s_options_option(X1),h4s_options_optionu_u_map(s(t_fun(X2,X1),X9),s(t_h4s_options_option(X2),X7)))=s(t_h4s_options_option(X1),h4s_options_none)<=>s(t_h4s_options_option(X2),X7)=s(t_h4s_options_option(X2),h4s_options_none)),file('i/f/option/OPTION__MAP__CONG', ah4s_options_OPTIONu_u_MAPu_u_EQu_u_NONE)).
fof(4, axiom,![X1]:![X2]:![X7]:![X9]:s(t_h4s_options_option(X1),h4s_options_optionu_u_map(s(t_fun(X2,X1),X9),s(t_h4s_options_option(X2),happ(s(t_fun(X2,t_h4s_options_option(X2)),h4s_options_some),s(X2,X7)))))=s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,happ(s(t_fun(X2,X1),X9),s(X2,X7))))),file('i/f/option/OPTION__MAP__CONG', ah4s_options_OPTIONu_u_MAPu_u_DEFu_c0)).
fof(12, axiom,![X2]:![X8]:![X7]:(s(t_h4s_options_option(X2),happ(s(t_fun(X2,t_h4s_options_option(X2)),h4s_options_some),s(X2,X7)))=s(t_h4s_options_option(X2),happ(s(t_fun(X2,t_h4s_options_option(X2)),h4s_options_some),s(X2,X8)))<=>s(X2,X7)=s(X2,X8)),file('i/f/option/OPTION__MAP__CONG', ah4s_options_SOMEu_u_11)).
fof(20, axiom,![X1]:![X2]:![X9]:![X18]:?[X19]:(s(X1,happ(s(t_fun(t_h4s_options_option(X2),X1),X19),s(t_h4s_options_option(X2),h4s_options_none)))=s(X1,X18)&![X7]:s(X1,happ(s(t_fun(t_h4s_options_option(X2),X1),X19),s(t_h4s_options_option(X2),happ(s(t_fun(X2,t_h4s_options_option(X2)),h4s_options_some),s(X2,X7)))))=s(X1,happ(s(t_fun(X2,X1),X9),s(X2,X7)))),file('i/f/option/OPTION__MAP__CONG', ah4s_options_optionu_u_Axiom)).
fof(21, axiom,![X2]:![X20]:(s(t_h4s_options_option(X2),X20)=s(t_h4s_options_option(X2),h4s_options_none)|?[X7]:s(t_h4s_options_option(X2),X20)=s(t_h4s_options_option(X2),happ(s(t_fun(X2,t_h4s_options_option(X2)),h4s_options_some),s(X2,X7)))),file('i/f/option/OPTION__MAP__CONG', ah4s_options_optionu_u_nchotomy)).
# SZS output end CNFRefutation
