# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X4)=s(t_h4s_finiteu_u_maps_fmap(X2,X1),X3)<=>![X5]:s(t_h4s_options_option(X1),happ(s(t_fun(X2,t_h4s_options_option(X1)),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X4))),s(X2,X5)))=s(t_h4s_options_option(X1),happ(s(t_fun(X2,t_h4s_options_option(X1)),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X3))),s(X2,X5)))),file('i/f/finite_map/fmap__eq__flookup', ch4s_finiteu_u_maps_fmapu_u_equ_u_flookup)).
fof(2, axiom,![X6]:![X7]:![X8]:![X9]:(![X10]:s(X7,happ(s(t_fun(X6,X7),X8),s(X6,X10)))=s(X7,happ(s(t_fun(X6,X7),X9),s(X6,X10)))=>s(t_fun(X6,X7),X8)=s(t_fun(X6,X7),X9)),file('i/f/finite_map/fmap__eq__flookup', aHLu_EXT)).
fof(51, axiom,![X2]:![X1]:![X35]:![X36]:(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X36)=s(t_h4s_finiteu_u_maps_fmap(X2,X1),X35)<=>s(t_fun(X2,t_h4s_options_option(X1)),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X36)))=s(t_fun(X2,t_h4s_options_option(X1)),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X35)))),file('i/f/finite_map/fmap__eq__flookup', ah4s_finiteu_u_maps_FLOOKUPu_u_EXT)).
# SZS output end CNFRefutation
