# 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_funion(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3)))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),file('i/f/finite_map/FUNION__IDEMPOT', ch4s_finiteu_u_maps_FUNIONu_u_IDEMPOT)).
fof(3, axiom,![X1]:![X2]:![X6]:![X7]:s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_funion(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X7),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6)))))=s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X7))),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6))))),file('i/f/finite_map/FUNION__IDEMPOT', ah4s_finiteu_u_maps_FUNIONu_u_DEFu_c0)).
fof(4, axiom,![X2]:![X1]:![X5]:![X6]:![X7]:s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_funion(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X7),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6))),s(X1,X5)))=s(X2,h4s_bools_cond(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),X7))))),s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X7),s(X1,X5))),s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(X1,X5))))),file('i/f/finite_map/FUNION__IDEMPOT', ah4s_finiteu_u_maps_FUNIONu_u_DEFu_c1)).
fof(5, axiom,![X1]:![X8]:s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X8),s(t_fun(X1,t_bool),X8)))=s(t_fun(X1,t_bool),X8),file('i/f/finite_map/FUNION__IDEMPOT', ah4s_predu_u_sets_UNIONu_u_IDEMPOT)).
fof(6, axiom,![X1]:![X2]:![X6]:![X7]:((s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X7)))=s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6)))&![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),X7))))))=>s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X7),s(X1,X5)))=s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(X1,X5)))))<=>s(t_h4s_finiteu_u_maps_fmap(X1,X2),X7)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6)),file('i/f/finite_map/FUNION__IDEMPOT', ah4s_finiteu_u_maps_fmapu_u_EQu_u_THM)).
fof(10, axiom,![X1]:![X9]:![X15]:s(X1,h4s_bools_cond(s(t_bool,X15),s(X1,X9),s(X1,X9)))=s(X1,X9),file('i/f/finite_map/FUNION__IDEMPOT', ah4s_bools_CONDu_u_ID)).
# SZS output end CNFRefutation
