# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X4),s(X2,X3))),s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),h4s_alists_fmapu_u_tou_u_alist(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5))))))))<=>s(t_h4s_options_option(X2),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5),s(X1,X4)))=s(t_h4s_options_option(X2),h4s_options_some(s(X2,X3)))),file('i/f/alist/MEM__pair__fmap__to__alist__FLOOKUP', ch4s_alists_MEMu_u_pairu_u_fmapu_u_tou_u_alistu_u_FLOOKUP)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/alist/MEM__pair__fmap__to__alist__FLOOKUP', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/alist/MEM__pair__fmap__to__alist__FLOOKUP', aHLu_FALSITY)).
fof(4, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/alist/MEM__pair__fmap__to__alist__FLOOKUP', aHLu_BOOLu_CASES)).
fof(7, axiom,![X2]:![X1]:![X3]:![X4]:s(X1,h4s_pairs_fst(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X4),s(X2,X3)))))=s(X1,X4),file('i/f/alist/MEM__pair__fmap__to__alist__FLOOKUP', ah4s_pairs_FST0)).
fof(8, axiom,![X1]:![X2]:![X3]:![X4]:s(X2,h4s_pairs_snd(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X4),s(X2,X3)))))=s(X2,X3),file('i/f/alist/MEM__pair__fmap__to__alist__FLOOKUP', ah4s_pairs_SND0)).
fof(9, axiom,![X1]:![X2]:![X7]:![X5]:(p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X2),X7),s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),h4s_alists_fmapu_u_tou_u_alist(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5))))))))<=>s(t_h4s_options_option(X2),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5),s(X1,h4s_pairs_fst(s(t_h4s_pairs_prod(X1,X2),X7)))))=s(t_h4s_options_option(X2),h4s_options_some(s(X2,h4s_pairs_snd(s(t_h4s_pairs_prod(X1,X2),X7)))))),file('i/f/alist/MEM__pair__fmap__to__alist__FLOOKUP', ah4s_alists_MEMu_u_fmapu_u_tou_u_alistu_u_FLOOKUP)).
# SZS output end CNFRefutation
