# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(s(t_h4s_options_option(t_h4s_ones_one),h4s_options_optionu_u_guard(s(t_bool,X1)))=s(t_h4s_options_option(t_h4s_ones_one),happ(s(t_fun(t_h4s_ones_one,t_h4s_options_option(t_h4s_ones_one)),h4s_options_some),s(t_h4s_ones_one,h4s_ones_one0)))<=>p(s(t_bool,X1))),file('i/f/option/OPTION__GUARD__EQ__THM_c0', ch4s_options_OPTIONu_u_GUARDu_u_EQu_u_THMu_c0)).
fof(5, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)<=>p(s(t_bool,X2))),file('i/f/option/OPTION__GUARD__EQ__THM_c0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(20, axiom,![X2]:(s(t_bool,f)=s(t_bool,X2)<=>~(p(s(t_bool,X2)))),file('i/f/option/OPTION__GUARD__EQ__THM_c0', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(58, axiom,![X3]:![X4]:~(s(t_h4s_options_option(X3),h4s_options_none)=s(t_h4s_options_option(X3),happ(s(t_fun(X3,t_h4s_options_option(X3)),h4s_options_some),s(X3,X4)))),file('i/f/option/OPTION__GUARD__EQ__THM_c0', ah4s_options_NOTu_u_NONEu_u_SOME)).
fof(62, axiom,![X1]:s(t_h4s_options_option(t_h4s_ones_one),h4s_options_optionu_u_guard(s(t_bool,X1)))=s(t_h4s_options_option(t_h4s_ones_one),h4s_bools_cond(s(t_bool,X1),s(t_h4s_options_option(t_h4s_ones_one),happ(s(t_fun(t_h4s_ones_one,t_h4s_options_option(t_h4s_ones_one)),h4s_options_some),s(t_h4s_ones_one,h4s_ones_one0))),s(t_h4s_options_option(t_h4s_ones_one),h4s_options_none))),file('i/f/option/OPTION__GUARD__EQ__THM_c0', ah4s_options_OPTIONu_u_GUARDu_u_COND)).
fof(63, axiom,s(t_h4s_options_option(t_h4s_ones_one),h4s_options_optionu_u_guard(s(t_bool,t)))=s(t_h4s_options_option(t_h4s_ones_one),happ(s(t_fun(t_h4s_ones_one,t_h4s_options_option(t_h4s_ones_one)),h4s_options_some),s(t_h4s_ones_one,h4s_ones_one0))),file('i/f/option/OPTION__GUARD__EQ__THM_c0', ah4s_options_OPTIONu_u_GUARDu_u_defu_c0)).
fof(74, axiom,![X3]:![X4]:s(t_h4s_options_option(X3),happ(s(t_fun(X3,t_h4s_options_option(X3)),h4s_options_some),s(X3,X4)))=s(t_h4s_options_option(X3),h4s_options_optionu_u_abs(s(t_h4s_sums_sum(X3,t_h4s_ones_one),h4s_sums_inl(s(X3,X4))))),file('i/f/option/OPTION__GUARD__EQ__THM_c0', ah4s_options_SOMEu_u_DEF)).
fof(76, axiom,![X3]:![X4]:![X17]:(s(t_h4s_options_option(X3),h4s_bools_cond(s(t_bool,X17),s(t_h4s_options_option(X3),happ(s(t_fun(X3,t_h4s_options_option(X3)),h4s_options_some),s(X3,X4))),s(t_h4s_options_option(X3),h4s_options_none)))=s(t_h4s_options_option(X3),h4s_options_none)<=>~(p(s(t_bool,X17)))),file('i/f/option/OPTION__GUARD__EQ__THM_c0', ah4s_options_IFu_u_EQUALSu_u_OPTIONu_c0)).
# SZS output end CNFRefutation
