# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fmerge(s(t_fun(X2,t_fun(X2,X2)),X3),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4)))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty)<=>(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty)&s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty))),file('i/f/finite_map/FMERGE__EQ__FEMPTY', ch4s_finiteu_u_maps_FMERGEu_u_EQu_u_FEMPTY)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/finite_map/FMERGE__EQ__FEMPTY', aHLu_TRUTH)).
fof(19, 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/FMERGE__EQ__FEMPTY', ah4s_finiteu_u_maps_FDOMu_u_FEMPTY)).
fof(22, axiom,![X2]:![X1]:![X3]:![X4]:![X5]:s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fmerge(s(t_fun(X1,t_fun(X1,X1)),X3),s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5),s(t_h4s_finiteu_u_maps_fmap(X2,X1),X4)))))=s(t_fun(X2,t_bool),h4s_predu_u_sets_union(s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5))),s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X4))))),file('i/f/finite_map/FMERGE__EQ__FEMPTY', ah4s_finiteu_u_maps_FMERGEu_u_DEFu_c0)).
fof(26, axiom,![X1]:![X9]:![X17]:s(t_bool,h4s_bools_in(s(X1,X9),s(t_fun(X1,t_bool),X17)))=s(t_bool,happ(s(t_fun(X1,t_bool),X17),s(X1,X9))),file('i/f/finite_map/FMERGE__EQ__FEMPTY', ah4s_predu_u_sets_SPECIFICATION)).
fof(28, axiom,~(p(s(t_bool,f0))),file('i/f/finite_map/FMERGE__EQ__FEMPTY', aHLu_FALSITY)).
fof(33, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)|s(t_bool,X8)=s(t_bool,f0)),file('i/f/finite_map/FMERGE__EQ__FEMPTY', aHLu_BOOLu_CASES)).
fof(36, axiom,![X1]:![X9]:~(p(s(t_bool,h4s_bools_in(s(X1,X9),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/finite_map/FMERGE__EQ__FEMPTY', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(37, axiom,![X1]:![X8]:![X25]:(s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X25),s(t_fun(X1,t_bool),X8)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)<=>(s(t_fun(X1,t_bool),X25)=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)&s(t_fun(X1,t_bool),X8)=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))),file('i/f/finite_map/FMERGE__EQ__FEMPTY', ah4s_predu_u_sets_EMPTYu_u_UNION)).
fof(38, axiom,![X1]:![X2]:![X4]:![X5]:((s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5)))=s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4)))&![X9]:(p(s(t_bool,h4s_bools_in(s(X1,X9),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,X9)))=s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4),s(X1,X9)))))<=>s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4)),file('i/f/finite_map/FMERGE__EQ__FEMPTY', ah4s_finiteu_u_maps_fmapu_u_EQu_u_THM)).
# SZS output end CNFRefutation
