# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(![X5]:![X6]:![X7]:s(t_h4s_pairs_prod(X3,t_bool),happ(s(t_fun(X3,t_h4s_pairs_prod(X3,t_bool)),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X2,X1),t_fun(X3,t_h4s_pairs_prod(X3,t_bool))),happ(s(t_fun(t_fun(X3,X2),t_fun(t_h4s_finiteu_u_maps_fmap(X2,X1),t_fun(X3,t_h4s_pairs_prod(X3,t_bool)))),X4),s(t_fun(X3,X2),X5))),s(t_h4s_finiteu_u_maps_fmap(X2,X1),X6))),s(X3,X7)))=s(t_h4s_pairs_prod(X3,t_bool),h4s_pairs_u_2c(s(X3,X7),s(t_bool,h4s_bools_in(s(X2,happ(s(t_fun(X3,X2),X5),s(X3,X7))),s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X6)))))))=>![X5]:![X6]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X3,t_bool),h4s_predu_u_sets_gspec(s(t_fun(X3,t_h4s_pairs_prod(X3,t_bool)),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X2,X1),t_fun(X3,t_h4s_pairs_prod(X3,t_bool))),happ(s(t_fun(t_fun(X3,X2),t_fun(t_h4s_finiteu_u_maps_fmap(X2,X1),t_fun(X3,t_h4s_pairs_prod(X3,t_bool)))),X4),s(t_fun(X3,X2),X5))),s(t_h4s_finiteu_u_maps_fmap(X2,X1),X6))))))))=>![X7]:(p(s(t_bool,h4s_bools_in(s(X3,X7),s(t_fun(X3,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X3,X1),h4s_finiteu_u_maps_fu_u_o(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X6),s(t_fun(X3,X2),X5))))))))=>s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X3,X1),h4s_finiteu_u_maps_fu_u_o(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X6),s(t_fun(X3,X2),X5))),s(X3,X7)))=s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X6),s(X2,happ(s(t_fun(X3,X2),X5),s(X3,X7)))))))),file('i/f/finite_map/FAPPLY__f__o', ch4s_finiteu_u_maps_FAPPLYu_u_fu_u_o)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/finite_map/FAPPLY__f__o', aHLu_TRUTH)).
fof(11, axiom,![X12]:(s(t_bool,t)=s(t_bool,X12)<=>p(s(t_bool,X12))),file('i/f/finite_map/FAPPLY__f__o', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(18, axiom,![X1]:![X2]:![X3]:![X7]:![X5]:![X6]:(p(s(t_bool,h4s_bools_in(s(X3,X7),s(t_fun(X3,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X3,X1),h4s_finiteu_u_maps_fu_u_ou_u_f(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X6),s(t_h4s_finiteu_u_maps_fmap(X3,X2),X5))))))))=>s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X3,X1),h4s_finiteu_u_maps_fu_u_ou_u_f(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X6),s(t_h4s_finiteu_u_maps_fmap(X3,X2),X5))),s(X3,X7)))=s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X6),s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X3,X2),X5),s(X3,X7)))))),file('i/f/finite_map/FAPPLY__f__o', ah4s_finiteu_u_maps_fu_u_ou_u_fu_u_DEFu_c1)).
fof(19, axiom,![X2]:![X3]:![X6]:![X20]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X3,t_bool),X20))))=>(s(t_fun(X3,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X3,X2),h4s_finiteu_u_maps_funu_u_fmap(s(t_fun(X3,X2),X6),s(t_fun(X3,t_bool),X20)))))=s(t_fun(X3,t_bool),X20)&![X7]:(p(s(t_bool,h4s_bools_in(s(X3,X7),s(t_fun(X3,t_bool),X20))))=>s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X3,X2),h4s_finiteu_u_maps_funu_u_fmap(s(t_fun(X3,X2),X6),s(t_fun(X3,t_bool),X20))),s(X3,X7)))=s(X2,happ(s(t_fun(X3,X2),X6),s(X3,X7)))))),file('i/f/finite_map/FAPPLY__f__o', ah4s_finiteu_u_maps_FUNu_u_FMAPu_u_DEF)).
fof(20, axiom,![X3]:![X2]:![X1]:![X4]:(![X5]:![X6]:![X7]:s(t_h4s_pairs_prod(X3,t_bool),happ(s(t_fun(X3,t_h4s_pairs_prod(X3,t_bool)),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X2,X1),t_fun(X3,t_h4s_pairs_prod(X3,t_bool))),happ(s(t_fun(t_fun(X3,X2),t_fun(t_h4s_finiteu_u_maps_fmap(X2,X1),t_fun(X3,t_h4s_pairs_prod(X3,t_bool)))),X4),s(t_fun(X3,X2),X5))),s(t_h4s_finiteu_u_maps_fmap(X2,X1),X6))),s(X3,X7)))=s(t_h4s_pairs_prod(X3,t_bool),h4s_pairs_u_2c(s(X3,X7),s(t_bool,h4s_bools_in(s(X2,happ(s(t_fun(X3,X2),X5),s(X3,X7))),s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X6)))))))=>![X5]:![X6]:s(t_h4s_finiteu_u_maps_fmap(X3,X1),h4s_finiteu_u_maps_fu_u_o(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X6),s(t_fun(X3,X2),X5)))=s(t_h4s_finiteu_u_maps_fmap(X3,X1),h4s_finiteu_u_maps_fu_u_ou_u_f(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X6),s(t_h4s_finiteu_u_maps_fmap(X3,X2),h4s_finiteu_u_maps_funu_u_fmap(s(t_fun(X3,X2),X5),s(t_fun(X3,t_bool),h4s_predu_u_sets_gspec(s(t_fun(X3,t_h4s_pairs_prod(X3,t_bool)),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X2,X1),t_fun(X3,t_h4s_pairs_prod(X3,t_bool))),happ(s(t_fun(t_fun(X3,X2),t_fun(t_h4s_finiteu_u_maps_fmap(X2,X1),t_fun(X3,t_h4s_pairs_prod(X3,t_bool)))),X4),s(t_fun(X3,X2),X5))),s(t_h4s_finiteu_u_maps_fmap(X2,X1),X6)))))))))),file('i/f/finite_map/FAPPLY__f__o', ah4s_finiteu_u_maps_fu_u_ou_u_DEF)).
fof(21, axiom,![X3]:![X2]:![X1]:![X4]:(![X5]:![X6]:![X7]:s(t_h4s_pairs_prod(X3,t_bool),happ(s(t_fun(X3,t_h4s_pairs_prod(X3,t_bool)),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X2,X1),t_fun(X3,t_h4s_pairs_prod(X3,t_bool))),happ(s(t_fun(t_fun(X3,X2),t_fun(t_h4s_finiteu_u_maps_fmap(X2,X1),t_fun(X3,t_h4s_pairs_prod(X3,t_bool)))),X4),s(t_fun(X3,X2),X5))),s(t_h4s_finiteu_u_maps_fmap(X2,X1),X6))),s(X3,X7)))=s(t_h4s_pairs_prod(X3,t_bool),h4s_pairs_u_2c(s(X3,X7),s(t_bool,h4s_bools_in(s(X2,happ(s(t_fun(X3,X2),X5),s(X3,X7))),s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X6)))))))=>![X5]:![X6]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X3,t_bool),h4s_predu_u_sets_gspec(s(t_fun(X3,t_h4s_pairs_prod(X3,t_bool)),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X2,X1),t_fun(X3,t_h4s_pairs_prod(X3,t_bool))),happ(s(t_fun(t_fun(X3,X2),t_fun(t_h4s_finiteu_u_maps_fmap(X2,X1),t_fun(X3,t_h4s_pairs_prod(X3,t_bool)))),X4),s(t_fun(X3,X2),X5))),s(t_h4s_finiteu_u_maps_fmap(X2,X1),X6))))))))=>s(t_fun(X3,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X3,X1),h4s_finiteu_u_maps_fu_u_o(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X6),s(t_fun(X3,X2),X5)))))=s(t_fun(X3,t_bool),h4s_predu_u_sets_gspec(s(t_fun(X3,t_h4s_pairs_prod(X3,t_bool)),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X2,X1),t_fun(X3,t_h4s_pairs_prod(X3,t_bool))),happ(s(t_fun(t_fun(X3,X2),t_fun(t_h4s_finiteu_u_maps_fmap(X2,X1),t_fun(X3,t_h4s_pairs_prod(X3,t_bool)))),X4),s(t_fun(X3,X2),X5))),s(t_h4s_finiteu_u_maps_fmap(X2,X1),X6))))))),file('i/f/finite_map/FAPPLY__f__o', ah4s_finiteu_u_maps_FDOMu_u_fu_u_o)).
# SZS output end CNFRefutation
