# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_finiteu_u_maps_fmapu_u_equ_u_upto(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))<=>s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3)),file('i/f/finite_map/fmap__EQ__UPTO______EMPTY', ch4s_finiteu_u_maps_fmapu_u_EQu_u_UPTOu_u_u_u_u_u_EMPTY)).
fof(9, axiom,![X1]:![X2]:![X13]:![X14]:((s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X14)))=s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X13)))&![X6]:(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X14))))))=>s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X14),s(X1,X6)))=s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X13),s(X1,X6)))))<=>s(t_h4s_finiteu_u_maps_fmap(X1,X2),X14)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),X13)),file('i/f/finite_map/fmap__EQ__UPTO______EMPTY', ah4s_finiteu_u_maps_fmapu_u_EQu_u_THM)).
fof(10, axiom,![X2]:![X1]:![X15]:![X3]:![X4]:(p(s(t_bool,h4s_finiteu_u_maps_fmapu_u_equ_u_upto(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),s(t_fun(X1,t_bool),X15))))<=>(s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4))),s(t_fun(X1,t_bool),h4s_predu_u_sets_compl(s(t_fun(X1,t_bool),X15)))))=s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3))),s(t_fun(X1,t_bool),h4s_predu_u_sets_compl(s(t_fun(X1,t_bool),X15)))))&![X6]:(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4))),s(t_fun(X1,t_bool),h4s_predu_u_sets_compl(s(t_fun(X1,t_bool),X15))))))))=>s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4),s(X1,X6)))=s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),s(X1,X6)))))),file('i/f/finite_map/fmap__EQ__UPTO______EMPTY', ah4s_finiteu_u_maps_fmapu_u_EQu_u_UPTOu_u_def)).
fof(12, axiom,![X1]:s(t_fun(X1,t_bool),h4s_predu_u_sets_compl(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_univ),file('i/f/finite_map/fmap__EQ__UPTO______EMPTY', ah4s_predu_u_sets_COMPLu_u_EMPTY)).
fof(13, axiom,![X1]:![X16]:s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X16),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))=s(t_fun(X1,t_bool),X16),file('i/f/finite_map/fmap__EQ__UPTO______EMPTY', ah4s_predu_u_sets_INTERu_u_UNIVu_c1)).
# SZS output end CNFRefutation
