# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_options_option(t_h4s_lists_list(X1)),h4s_llists_tolist(s(t_h4s_llists_llist(X1),h4s_llists_fromlist(s(t_h4s_lists_list(X1),X2)))))=s(t_h4s_options_option(t_h4s_lists_list(X1)),h4s_options_some(s(t_h4s_lists_list(X1),X2))),file('i/f/llist/from__toList', ch4s_llists_fromu_u_toList)).
fof(6, axiom,![X1]:![X6]:s(t_h4s_options_option(t_h4s_lists_list(X1)),h4s_llists_tolist(s(t_h4s_llists_llist(X1),X6)))=s(t_h4s_options_option(t_h4s_lists_list(X1)),h4s_bools_cond(s(t_bool,h4s_llists_lfinite(s(t_h4s_llists_llist(X1),X6))),s(t_h4s_options_option(t_h4s_lists_list(X1)),h4s_llists_ltake(s(t_h4s_nums_num,h4s_options_the(s(t_h4s_options_option(t_h4s_nums_num),h4s_llists_llength(s(t_h4s_llists_llist(X1),X6))))),s(t_h4s_llists_llist(X1),X6))),s(t_h4s_options_option(t_h4s_lists_list(X1)),h4s_options_none))),file('i/f/llist/from__toList', ah4s_llists_toList0)).
fof(10, axiom,![X1]:![X2]:s(t_h4s_options_option(t_h4s_lists_list(X1)),h4s_llists_ltake(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X2))),s(t_h4s_llists_llist(X1),h4s_llists_fromlist(s(t_h4s_lists_list(X1),X2)))))=s(t_h4s_options_option(t_h4s_lists_list(X1)),h4s_options_some(s(t_h4s_lists_list(X1),X2))),file('i/f/llist/from__toList', ah4s_llists_LTAKEu_u_fromList)).
fof(11, axiom,![X1]:s(t_h4s_llists_llist(X1),h4s_llists_fromlist(s(t_h4s_lists_list(X1),h4s_lists_nil)))=s(t_h4s_llists_llist(X1),h4s_llists_lnil),file('i/f/llist/from__toList', ah4s_llists_fromList0u_c0)).
fof(12, axiom,![X1]:![X2]:s(t_h4s_options_option(t_h4s_nums_num),h4s_llists_llength(s(t_h4s_llists_llist(X1),h4s_llists_fromlist(s(t_h4s_lists_list(X1),X2)))))=s(t_h4s_options_option(t_h4s_nums_num),h4s_options_some(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X2))))),file('i/f/llist/from__toList', ah4s_llists_LLENGTHu_u_fromList)).
fof(13, axiom,![X1]:![X2]:p(s(t_bool,h4s_llists_lfinite(s(t_h4s_llists_llist(X1),h4s_llists_fromlist(s(t_h4s_lists_list(X1),X2)))))),file('i/f/llist/from__toList', ah4s_llists_LFINITEu_u_fromList)).
fof(15, axiom,![X1]:![X14]:![X15]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X15),s(X1,X14)))=s(X1,X15),file('i/f/llist/from__toList', ah4s_bools_boolu_u_caseu_u_thmu_c0)).
fof(26, axiom,![X1]:![X4]:s(X1,h4s_options_the(s(t_h4s_options_option(X1),h4s_options_some(s(X1,X4)))))=s(X1,X4),file('i/f/llist/from__toList', ah4s_options_THEu_u_DEF)).
fof(31, axiom,![X1]:s(t_bool,h4s_llists_lfinite(s(t_h4s_llists_llist(X1),h4s_llists_lnil)))=s(t_bool,t),file('i/f/llist/from__toList', ah4s_llists_LFINITEu_u_THMu_c0)).
fof(34, axiom,![X14]:![X15]:((p(s(t_bool,X15))=>p(s(t_bool,X14)))=>((p(s(t_bool,X14))=>p(s(t_bool,X15)))=>s(t_bool,X15)=s(t_bool,X14))),file('i/f/llist/from__toList', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
# SZS output end CNFRefutation
