# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:((p(s(t_bool,h4s_finiteu_u_maps_fevery(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X5),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4))))&p(s(t_bool,h4s_finiteu_u_maps_submap(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4)))))=>p(s(t_bool,h4s_finiteu_u_maps_fevery(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X5),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3))))),file('i/f/finite_map/FEVERY__SUBMAP', ch4s_finiteu_u_maps_FEVERYu_u_SUBMAP)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/finite_map/FEVERY__SUBMAP', aHLu_TRUTH)).
fof(6, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/finite_map/FEVERY__SUBMAP', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(10, axiom,![X2]:![X1]:![X14]:![X5]:(p(s(t_bool,h4s_finiteu_u_maps_fevery(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X5),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X14))))<=>![X7]:(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),X14))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X5),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X7),s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X14),s(X1,X7)))))))))),file('i/f/finite_map/FEVERY__SUBMAP', ah4s_finiteu_u_maps_FEVERYu_u_DEF)).
fof(11, axiom,![X2]:![X1]:![X15]:![X14]:(p(s(t_bool,h4s_finiteu_u_maps_submap(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X14),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X15))))<=>![X7]:(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),X14))))))=>(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),X15))))))&s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X14),s(X1,X7)))=s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X15),s(X1,X7)))))),file('i/f/finite_map/FEVERY__SUBMAP', ah4s_finiteu_u_maps_SUBMAPu_u_DEF)).
fof(13, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/finite_map/FEVERY__SUBMAP', aHLu_BOOLu_CASES)).
fof(14, axiom,~(p(s(t_bool,f))),file('i/f/finite_map/FEVERY__SUBMAP', aHLu_FALSITY)).
# SZS output end CNFRefutation
