# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(s(t_h4s_options_option(X2),happ(s(t_fun(X1,t_h4s_options_option(X2)),h4s_alists_alookup(s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),X5))),s(X1,X4)))=s(t_h4s_options_option(X2),h4s_options_some(s(X2,X3)))=>s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_alists_alistu_u_tou_u_fmap(s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),X5))),s(X1,X4)))=s(X2,X3)),file('i/f/alist/ALOOKUP__SOME__FAPPLY__alist__to__fmap', ch4s_alists_ALOOKUPu_u_SOMEu_u_FAPPLYu_u_alistu_u_tou_u_fmap)).
fof(5, axiom,![X1]:![X2]:![X7]:![X3]:![X8]:(s(t_h4s_options_option(X2),happ(s(t_fun(X1,t_h4s_options_option(X2)),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X8))),s(X1,X7)))=s(t_h4s_options_option(X2),h4s_options_some(s(X2,X3)))<=>(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X8))))))&s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X8),s(X1,X7)))=s(X2,X3))),file('i/f/alist/ALOOKUP__SOME__FAPPLY__alist__to__fmap', ah4s_finiteu_u_maps_flookupu_u_thmu_c1)).
fof(6, axiom,![X1]:![X2]:![X5]:s(t_fun(X1,t_h4s_options_option(X2)),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_alists_alistu_u_tou_u_fmap(s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),X5)))))=s(t_fun(X1,t_h4s_options_option(X2)),h4s_alists_alookup(s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),X5))),file('i/f/alist/ALOOKUP__SOME__FAPPLY__alist__to__fmap', ah4s_alists_ALOOKUPu_u_EQu_u_FLOOKUPu_c0)).
# SZS output end CNFRefutation
