# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:(p(s(t_bool,h4s_finiteu_u_maps_submap(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(X1,X4))),s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5),s(X1,X4))))))=>p(s(t_bool,h4s_finiteu_u_maps_submap(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X4),s(X2,X3))))),s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X4),s(X2,X3))))))))),file('i/f/finite_map/SUBMAP__mono__FUPDATE', ch4s_finiteu_u_maps_SUBMAPu_u_monou_u_FUPDATE)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/finite_map/SUBMAP__mono__FUPDATE', aHLu_TRUTH)).
fof(8, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/finite_map/SUBMAP__mono__FUPDATE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(12, axiom,![X2]:![X1]:![X3]:![X4]:![X5]:![X6]:(p(s(t_bool,h4s_finiteu_u_maps_submap(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X4),s(X2,X3))))),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5))))))&(s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5),s(X1,X4)))=s(X2,X3)&p(s(t_bool,h4s_finiteu_u_maps_submap(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(X1,X4))),s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5),s(X1,X4))))))))),file('i/f/finite_map/SUBMAP__mono__FUPDATE', ah4s_finiteu_u_maps_SUBMAPu_u_FUPDATE)).
fof(13, axiom,![X1]:![X2]:![X3]:![X4]:![X6]:s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X4),s(X2,X3))))),s(X1,X4)))=s(X2,X3),file('i/f/finite_map/SUBMAP__mono__FUPDATE', ah4s_finiteu_u_maps_FAPPLYu_u_FUPDATE)).
fof(14, axiom,![X1]:![X2]:![X6]:![X13]:![X14]:s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X14),s(X2,X13)))))))=s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X14),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/SUBMAP__mono__FUPDATE', ah4s_finiteu_u_maps_FDOMu_u_FUPDATE)).
fof(15, axiom,![X2]:![X1]:![X15]:![X16]:![X17]:s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X17),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X16),s(X2,X15))))),s(X1,X16)))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X17),s(X1,X16))),file('i/f/finite_map/SUBMAP__mono__FUPDATE', ah4s_finiteu_u_maps_DOMSUBu_u_FUPDATE)).
fof(16, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f0)),file('i/f/finite_map/SUBMAP__mono__FUPDATE', aHLu_BOOLu_CASES)).
fof(17, axiom,![X1]:![X3]:![X4]:![X18]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X3),s(t_fun(X1,t_bool),X18))))))<=>(s(X1,X4)=s(X1,X3)|p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X18)))))),file('i/f/finite_map/SUBMAP__mono__FUPDATE', ah4s_predu_u_sets_INu_u_INSERT)).
fof(19, axiom,~(p(s(t_bool,f0))),file('i/f/finite_map/SUBMAP__mono__FUPDATE', aHLu_FALSITY)).
# SZS output end CNFRefutation
