# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:~(s(t_h4s_enumerals_bt(X1),h4s_enumerals_nt)=s(t_h4s_enumerals_bt(X1),happ(s(t_fun(t_h4s_enumerals_bt(X1),t_h4s_enumerals_bt(X1)),happ(s(t_fun(X1,t_fun(t_h4s_enumerals_bt(X1),t_h4s_enumerals_bt(X1))),happ(s(t_fun(t_h4s_enumerals_bt(X1),t_fun(X1,t_fun(t_h4s_enumerals_bt(X1),t_h4s_enumerals_bt(X1)))),h4s_enumerals_node),s(t_h4s_enumerals_bt(X1),X4))),s(X1,X3))),s(t_h4s_enumerals_bt(X1),X2)))),file('i/f/enumeral/bt__distinct0', ch4s_enumerals_btu_u_distinct0)).
fof(3, axiom,![X10]:![X11]:((p(s(t_bool,X11))=>p(s(t_bool,X10)))=>((p(s(t_bool,X10))=>p(s(t_bool,X11)))=>s(t_bool,X11)=s(t_bool,X10))),file('i/f/enumeral/bt__distinct0', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(15, axiom,![X19]:![X20]:![X21]:((p(s(t_bool,X21))<=>s(t_bool,X20)=s(t_bool,X19))<=>((p(s(t_bool,X21))|(p(s(t_bool,X20))|p(s(t_bool,X19))))&((p(s(t_bool,X21))|(~(p(s(t_bool,X19)))|~(p(s(t_bool,X20)))))&((p(s(t_bool,X20))|(~(p(s(t_bool,X19)))|~(p(s(t_bool,X21)))))&(p(s(t_bool,X19))|(~(p(s(t_bool,X20)))|~(p(s(t_bool,X21))))))))),file('i/f/enumeral/bt__distinct0', ah4s_sats_dcu_u_eq)).
fof(37, axiom,![X1]:s(t_fun(t_h4s_enumerals_bt(X1),t_fun(X1,t_fun(t_h4s_enumerals_bt(X1),t_h4s_enumerals_bt(X1)))),h4s_enumerals_node)=s(t_fun(t_h4s_enumerals_bt(X1),t_fun(X1,t_fun(t_h4s_enumerals_bt(X1),t_h4s_enumerals_bt(X1)))),h4s_enumerals_u_20u_40indu_u_typeenumeral1),file('i/f/enumeral/bt__distinct0', ah4s_enumerals_node0)).
fof(38, axiom,![X12]:![X1]:![X25]:![X7]:![X2]:![X3]:![X4]:s(X12,h4s_enumerals_btu_u_case(s(t_h4s_enumerals_bt(X1),happ(s(t_fun(t_h4s_enumerals_bt(X1),t_h4s_enumerals_bt(X1)),happ(s(t_fun(X1,t_fun(t_h4s_enumerals_bt(X1),t_h4s_enumerals_bt(X1))),happ(s(t_fun(t_h4s_enumerals_bt(X1),t_fun(X1,t_fun(t_h4s_enumerals_bt(X1),t_h4s_enumerals_bt(X1)))),h4s_enumerals_node),s(t_h4s_enumerals_bt(X1),X4))),s(X1,X3))),s(t_h4s_enumerals_bt(X1),X2))),s(X12,X25),s(t_fun(t_h4s_enumerals_bt(X1),t_fun(X1,t_fun(t_h4s_enumerals_bt(X1),X12))),X7)))=s(X12,happ(s(t_fun(t_h4s_enumerals_bt(X1),X12),happ(s(t_fun(X1,t_fun(t_h4s_enumerals_bt(X1),X12)),happ(s(t_fun(t_h4s_enumerals_bt(X1),t_fun(X1,t_fun(t_h4s_enumerals_bt(X1),X12))),X7),s(t_h4s_enumerals_bt(X1),X4))),s(X1,X3))),s(t_h4s_enumerals_bt(X1),X2))),file('i/f/enumeral/bt__distinct0', ah4s_enumerals_btu_u_caseu_u_def0u_c1)).
fof(39, axiom,![X1]:s(t_h4s_enumerals_bt(X1),h4s_enumerals_nt)=s(t_h4s_enumerals_bt(X1),h4s_enumerals_u_20u_40indu_u_typeenumeral0),file('i/f/enumeral/bt__distinct0', ah4s_enumerals_nt0)).
fof(40, axiom,![X1]:![X12]:![X25]:![X7]:s(X12,h4s_enumerals_btu_u_case(s(t_h4s_enumerals_bt(X1),h4s_enumerals_nt),s(X12,X25),s(t_fun(t_h4s_enumerals_bt(X1),t_fun(X1,t_fun(t_h4s_enumerals_bt(X1),X12))),X7)))=s(X12,X25),file('i/f/enumeral/bt__distinct0', ah4s_enumerals_btu_u_caseu_u_def0u_c0)).
fof(42, axiom,p(s(t_bool,t)),file('i/f/enumeral/bt__distinct0', aHLu_TRUTH)).
fof(43, axiom,~(p(s(t_bool,f))),file('i/f/enumeral/bt__distinct0', aHLu_FALSITY)).
fof(47, axiom,![X13]:(s(t_bool,X13)=s(t_bool,t)<=>p(s(t_bool,X13))),file('i/f/enumeral/bt__distinct0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(70, axiom,![X41]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X41),s(t_h4s_nums_num,X41)))),file('i/f/enumeral/bt__distinct0', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(71, axiom,![X1]:![X9]:s(t_bool,h4s_bools_in(s(X1,X9),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),h4s_lists_nil)))))=s(t_bool,f),file('i/f/enumeral/bt__distinct0', ah4s_lists_MEMu_c0)).
# SZS output end CNFRefutation
