# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(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),h4s_finiteu_u_maps_fempty))))<=>s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty)),file('i/f/finite_map/FEMPTY__SUBMAP', ch4s_finiteu_u_maps_FEMPTYu_u_SUBMAP)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/finite_map/FEMPTY__SUBMAP', aHLu_FALSITY)).
fof(9, axiom,![X6]:(s(t_bool,f)=s(t_bool,X6)<=>~(p(s(t_bool,X6)))),file('i/f/finite_map/FEMPTY__SUBMAP', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(17, axiom,![X2]:![X1]:s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),file('i/f/finite_map/FEMPTY__SUBMAP', ah4s_finiteu_u_maps_FDOMu_u_FEMPTY)).
fof(18, axiom,![X1]:![X2]:![X15]:![X16]:((s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X16)))=s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X15)))&![X8]:(p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X16))))))=>s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X16),s(X1,X8)))=s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X15),s(X1,X8)))))<=>s(t_h4s_finiteu_u_maps_fmap(X1,X2),X16)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),X15)),file('i/f/finite_map/FEMPTY__SUBMAP', ah4s_finiteu_u_maps_fmapu_u_EQu_u_THM)).
fof(19, axiom,![X2]:![X1]:![X15]:![X16]:(p(s(t_bool,h4s_finiteu_u_maps_submap(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X16),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X15))))<=>![X8]:(p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X16))))))=>(p(s(t_bool,h4s_bools_in(s(X1,X8),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),X16),s(X1,X8)))=s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X15),s(X1,X8)))))),file('i/f/finite_map/FEMPTY__SUBMAP', ah4s_finiteu_u_maps_SUBMAPu_u_DEF)).
fof(20, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/finite_map/FEMPTY__SUBMAP', aHLu_BOOLu_CASES)).
fof(21, axiom,![X1]:![X8]:~(p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/finite_map/FEMPTY__SUBMAP', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(22, axiom,![X1]:![X6]:![X17]:(s(t_fun(X1,t_bool),X17)=s(t_fun(X1,t_bool),X6)<=>![X8]:s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X17)))=s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X6)))),file('i/f/finite_map/FEMPTY__SUBMAP', ah4s_predu_u_sets_EXTENSION)).
fof(23, axiom,p(s(t_bool,t)),file('i/f/finite_map/FEMPTY__SUBMAP', aHLu_TRUTH)).
fof(25, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/finite_map/FEMPTY__SUBMAP', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
