# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(![X5]:p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X4),s(X2,X5))),s(X2,X5))))=>p(s(t_bool,h4s_finiteu_u_maps_fmapu_u_rel(s(t_fun(X2,t_fun(X2,t_bool)),X4),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3))))),file('i/f/finite_map/fmap__rel__refl', ch4s_finiteu_u_maps_fmapu_u_relu_u_refl)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/finite_map/fmap__rel__refl', aHLu_FALSITY)).
fof(41, axiom,![X12]:(s(t_bool,X12)=s(t_bool,f)<=>~(p(s(t_bool,X12)))),file('i/f/finite_map/fmap__rel__refl', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(51, axiom,![X2]:![X1]:![X26]:![X27]:![X28]:![X4]:(p(s(t_bool,h4s_finiteu_u_maps_fmapu_u_rel(s(t_fun(X2,t_fun(X1,t_bool)),X4),s(t_h4s_finiteu_u_maps_fmap(X26,X2),X28),s(t_h4s_finiteu_u_maps_fmap(X26,X1),X27))))<=>(s(t_fun(X26,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X26,X1),X27)))=s(t_fun(X26,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X26,X2),X28)))&![X3]:(p(s(t_bool,h4s_bools_in(s(X26,X3),s(t_fun(X26,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X26,X2),X28))))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X2,t_fun(X1,t_bool)),X4),s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X26,X2),X28),s(X26,X3))))),s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X26,X1),X27),s(X26,X3))))))))),file('i/f/finite_map/fmap__rel__refl', ah4s_finiteu_u_maps_fmapu_u_relu_u_def)).
fof(61, axiom,![X12]:(s(t_bool,X12)=s(t_bool,t)|s(t_bool,X12)=s(t_bool,f)),file('i/f/finite_map/fmap__rel__refl', aHLu_BOOLu_CASES)).
fof(62, axiom,![X12]:((p(s(t_bool,f))=>p(s(t_bool,X12)))<=>p(s(t_bool,t))),file('i/f/finite_map/fmap__rel__refl', ah4s_bools_IMPu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
