# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(s(t_h4s_options_option(t_h4s_lists_list(X1)),h4s_llists_ltake(s(t_h4s_nums_num,X2),s(t_h4s_llists_llist(X1),h4s_llists_lnil)))=s(t_h4s_options_option(t_h4s_lists_list(X1)),h4s_options_some(s(t_h4s_lists_list(X1),X3)))<=>(s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0)&s(t_h4s_lists_list(X1),X3)=s(t_h4s_lists_list(X1),h4s_lists_nil))),file('i/f/llist/LTAKE__NIL__EQ__SOME', ch4s_llists_LTAKEu_u_NILu_u_EQu_u_SOME)).
fof(37, axiom,![X1]:![X14]:s(t_h4s_options_option(t_h4s_lists_list(X1)),h4s_llists_ltake(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_llists_llist(X1),X14)))=s(t_h4s_options_option(t_h4s_lists_list(X1)),h4s_options_some(s(t_h4s_lists_list(X1),h4s_lists_nil))),file('i/f/llist/LTAKE__NIL__EQ__SOME', ah4s_llists_LTAKE0u_c0)).
fof(38, axiom,![X15]:![X16]:s(t_h4s_options_option(t_h4s_lists_list(X15)),h4s_llists_ltake(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X16))),s(t_h4s_llists_llist(X15),h4s_llists_lnil)))=s(t_h4s_options_option(t_h4s_lists_list(X15)),h4s_options_none),file('i/f/llist/LTAKE__NIL__EQ__SOME', ah4s_llists_LTAKEu_u_THMu_c1)).
fof(40, axiom,![X2]:(s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0)|?[X16]:s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X16)))),file('i/f/llist/LTAKE__NIL__EQ__SOME', ah4s_arithmetics_numu_u_CASES)).
fof(41, axiom,![X1]:![X17]:![X7]:(s(t_h4s_options_option(X1),h4s_options_some(s(X1,X7)))=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X17)))<=>s(X1,X7)=s(X1,X17)),file('i/f/llist/LTAKE__NIL__EQ__SOME', ah4s_options_SOMEu_u_11)).
fof(42, 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/LTAKE__NIL__EQ__SOME', ah4s_options_NOTu_u_NONEu_u_SOME)).
# SZS output end CNFRefutation
