# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_ou_u_f(s(t_fun(X2,X2),h4s_combins_i),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3)))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),file('i/f/tc/I__o__f', ch4s_tcs_Iu_u_ou_u_f)).
fof(6, axiom,![X12]:![X1]:![X2]:![X13]:![X3]:s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X12),h4s_finiteu_u_maps_ou_u_f(s(t_fun(X2,X12),X3),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X13)))))=s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X13))),file('i/f/tc/I__o__f', ah4s_finiteu_u_maps_FDOMu_u_ou_u_f)).
fof(7, axiom,![X12]:![X2]:![X1]:![X5]:![X13]:![X3]:(p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X13))))))=>s(X12,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X12),h4s_finiteu_u_maps_ou_u_f(s(t_fun(X2,X12),X3),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X13))),s(X1,X5)))=s(X12,happ(s(t_fun(X2,X12),X3),s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X13),s(X1,X5)))))),file('i/f/tc/I__o__f', ah4s_finiteu_u_maps_ou_u_fu_u_FAPPLY)).
fof(8, axiom,![X1]:![X5]:s(X1,happ(s(t_fun(X1,X1),h4s_combins_i),s(X1,X5)))=s(X1,X5),file('i/f/tc/I__o__f', ah4s_combins_Iu_u_THM)).
fof(9, axiom,![X2]:![X1]:![X13]:![X3]:(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),X13)<=>(s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3)))=s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X13)))&![X5]:(p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3))))))=>s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),s(X1,X5)))=s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X13),s(X1,X5)))))),file('i/f/tc/I__o__f', ah4s_finiteu_u_maps_fmapu_u_EXT)).
# SZS output end CNFRefutation
