# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:~(s(t_h4s_options_option(X1),h4s_options_none)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X2)))),file('i/f/option/NOT__NONE__SOME', ch4s_options_NOTu_u_NONEu_u_SOME)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/option/NOT__NONE__SOME', aHLu_TRUTH)).
fof(11, axiom,![X1]:![X2]:s(t_h4s_options_option(X1),h4s_options_some(s(X1,X2)))=s(t_h4s_options_option(X1),h4s_options_optionu_u_abs(s(t_h4s_sums_sum(X1,t_h4s_ones_one),h4s_sums_inl(s(X1,X2))))),file('i/f/option/NOT__NONE__SOME', ah4s_options_SOMEu_u_DEF)).
fof(12, axiom,![X1]:![X6]:(p(s(t_bool,t))<=>s(t_h4s_sums_sum(X1,t_h4s_ones_one),h4s_options_optionu_u_rep(s(t_h4s_options_option(X1),h4s_options_optionu_u_abs(s(t_h4s_sums_sum(X1,t_h4s_ones_one),X6)))))=s(t_h4s_sums_sum(X1,t_h4s_ones_one),X6)),file('i/f/option/NOT__NONE__SOME', ah4s_options_optionu_u_REPu_u_ABSu_u_DEFu_c1)).
fof(13, axiom,![X1]:s(t_h4s_options_option(X1),h4s_options_none)=s(t_h4s_options_option(X1),h4s_options_optionu_u_abs(s(t_h4s_sums_sum(X1,t_h4s_ones_one),h4s_sums_inr(s(t_h4s_ones_one,h4s_ones_one0))))),file('i/f/option/NOT__NONE__SOME', ah4s_options_NONEu_u_DEF)).
fof(14, axiom,![X7]:![X1]:![X8]:![X9]:~(s(t_h4s_sums_sum(X1,X7),h4s_sums_inr(s(X7,X8)))=s(t_h4s_sums_sum(X1,X7),h4s_sums_inl(s(X1,X9)))),file('i/f/option/NOT__NONE__SOME', ah4s_sums_INRu_u_nequ_u_INL)).
# SZS output end CNFRefutation
