# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:![X8]:((s(t_h4s_options_option(X1),X8)=s(t_h4s_options_option(X1),X7)&((s(t_h4s_options_option(X1),X7)=s(t_h4s_options_option(X1),h4s_options_none)=>s(X2,X4)=s(X2,X3))&![X9]:(s(t_h4s_options_option(X1),X7)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X9)))=>s(X2,happ(s(t_fun(X1,X2),X6),s(X1,X9)))=s(X2,happ(s(t_fun(X1,X2),X5),s(X1,X9))))))=>s(X2,h4s_options_optionu_u_case(s(t_h4s_options_option(X1),X8),s(X2,X4),s(t_fun(X1,X2),X6)))=s(X2,h4s_options_optionu_u_case(s(t_h4s_options_option(X1),X7),s(X2,X3),s(t_fun(X1,X2),X5)))),file('i/f/option/option__case__cong', ch4s_options_optionu_u_caseu_u_cong)).
fof(6, axiom,![X1]:![X14]:(s(t_h4s_options_option(X1),X14)=s(t_h4s_options_option(X1),h4s_options_none)|?[X9]:s(t_h4s_options_option(X1),X14)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X9)))),file('i/f/option/option__case__cong', ah4s_options_optionu_u_nchotomy)).
fof(7, axiom,![X1]:![X2]:![X4]:![X6]:s(X2,h4s_options_optionu_u_case(s(t_h4s_options_option(X1),h4s_options_none),s(X2,X4),s(t_fun(X1,X2),X6)))=s(X2,X4),file('i/f/option/option__case__cong', ah4s_options_optionu_u_caseu_u_defu_c0)).
fof(8, axiom,![X2]:![X1]:![X9]:![X4]:![X6]:s(X2,h4s_options_optionu_u_case(s(t_h4s_options_option(X1),h4s_options_some(s(X1,X9))),s(X2,X4),s(t_fun(X1,X2),X6)))=s(X2,happ(s(t_fun(X1,X2),X6),s(X1,X9))),file('i/f/option/option__case__cong', ah4s_options_optionu_u_caseu_u_defu_c1)).
# SZS output end CNFRefutation
