# 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(X2,X1),X4),s(t_h4s_finiteu_u_maps_fmap(X2,X1),X4),s(t_fun(X2,t_bool),X3)))),file('i/f/finite_map/fmap__EQ__UPTO______EQ', ch4s_finiteu_u_maps_fmapu_u_EQu_u_UPTOu_u_u_u_u_u_EQ)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/finite_map/fmap__EQ__UPTO______EQ', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/finite_map/fmap__EQ__UPTO______EQ', aHLu_FALSITY)).
fof(4, axiom,(p(s(t_bool,f0))<=>![X5]:p(s(t_bool,X5))),file('i/f/finite_map/fmap__EQ__UPTO______EQ', ah4s_bools_Fu_u_DEF)).
fof(12, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f0)),file('i/f/finite_map/fmap__EQ__UPTO______EQ', aHLu_BOOLu_CASES)).
fof(15, axiom,![X1]:![X2]:![X3]:![X13]:![X14]:(p(s(t_bool,h4s_finiteu_u_maps_fmapu_u_equ_u_upto(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X14),s(t_h4s_finiteu_u_maps_fmap(X2,X1),X13),s(t_fun(X2,t_bool),X3))))<=>(s(t_fun(X2,t_bool),h4s_predu_u_sets_inter(s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X14))),s(t_fun(X2,t_bool),h4s_predu_u_sets_compl(s(t_fun(X2,t_bool),X3)))))=s(t_fun(X2,t_bool),h4s_predu_u_sets_inter(s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X13))),s(t_fun(X2,t_bool),h4s_predu_u_sets_compl(s(t_fun(X2,t_bool),X3)))))&![X6]:(p(s(t_bool,h4s_bools_in(s(X2,X6),s(t_fun(X2,t_bool),h4s_predu_u_sets_inter(s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X14))),s(t_fun(X2,t_bool),h4s_predu_u_sets_compl(s(t_fun(X2,t_bool),X3))))))))=>s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X14),s(X2,X6)))=s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X13),s(X2,X6)))))),file('i/f/finite_map/fmap__EQ__UPTO______EQ', ah4s_finiteu_u_maps_fmapu_u_EQu_u_UPTOu_u_def)).
# SZS output end CNFRefutation
