# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(s(t_h4s_options_option(X1),h4s_llists_lhd(s(t_h4s_llists_llist(X1),X2)))=s(t_h4s_options_option(X1),h4s_options_none)<=>s(t_h4s_llists_llist(X1),X2)=s(t_h4s_llists_llist(X1),h4s_llists_lnil)),file('i/f/llist/LHD__EQ__NONE_c0', ch4s_llists_LHDu_u_EQu_u_NONEu_c0)).
fof(32, axiom,![X1]:s(t_h4s_options_option(X1),h4s_llists_lhd(s(t_h4s_llists_llist(X1),h4s_llists_lnil)))=s(t_h4s_options_option(X1),h4s_options_none),file('i/f/llist/LHD__EQ__NONE_c0', ah4s_llists_LHDu_u_THMu_c0)).
fof(34, axiom,![X1]:![X27]:(s(t_h4s_llists_llist(X1),X27)=s(t_h4s_llists_llist(X1),h4s_llists_lnil)|?[X28]:?[X17]:s(t_h4s_llists_llist(X1),X27)=s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X28),s(t_h4s_llists_llist(X1),X17)))),file('i/f/llist/LHD__EQ__NONE_c0', ah4s_llists_llistu_u_CASES)).
fof(39, axiom,![X1]:![X17]:![X28]:s(t_h4s_options_option(X1),h4s_llists_lhd(s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X28),s(t_h4s_llists_llist(X1),X17)))))=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X28))),file('i/f/llist/LHD__EQ__NONE_c0', ah4s_llists_LHDu_u_LCONS)).
fof(49, axiom,![X1]:![X7]:~(s(t_h4s_options_option(X1),h4s_options_none)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X7)))),file('i/f/llist/LHD__EQ__NONE_c0', ah4s_options_NOTu_u_NONEu_u_SOME)).
# SZS output end CNFRefutation
