# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:(![X7]:(p(s(t_bool,h4s_bools_in(s(X2,X7),s(t_fun(X2,t_bool),h4s_finiteu_u_maps_frange(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4))))))=>p(s(t_bool,happ(s(t_fun(X3,t_bool),X6),s(X3,happ(s(t_fun(X2,X3),X5),s(X2,X7)))))))=>![X7]:(p(s(t_bool,h4s_bools_in(s(X3,X7),s(t_fun(X3,t_bool),h4s_finiteu_u_maps_frange(s(t_h4s_finiteu_u_maps_fmap(X1,X3),h4s_finiteu_u_maps_ou_u_f(s(t_fun(X2,X3),X5),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4))))))))=>p(s(t_bool,happ(s(t_fun(X3,t_bool),X6),s(X3,X7)))))),file('i/f/finite_map/IN__FRANGE__o__f__suff', ch4s_finiteu_u_maps_INu_u_FRANGEu_u_ou_u_fu_u_suff)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/finite_map/IN__FRANGE__o__f__suff', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/finite_map/IN__FRANGE__o__f__suff', aHLu_FALSITY)).
fof(18, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)<=>p(s(t_bool,X10))),file('i/f/finite_map/IN__FRANGE__o__f__suff', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(19, axiom,![X10]:(s(t_bool,X10)=s(t_bool,f0)<=>~(p(s(t_bool,X10)))),file('i/f/finite_map/IN__FRANGE__o__f__suff', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(39, axiom,![X3]:![X1]:![X2]:![X11]:![X23]:![X5]:(p(s(t_bool,h4s_bools_in(s(X2,X11),s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X23))))))=>s(X3,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X3),h4s_finiteu_u_maps_ou_u_f(s(t_fun(X1,X3),X5),s(t_h4s_finiteu_u_maps_fmap(X2,X1),X23))),s(X2,X11)))=s(X3,happ(s(t_fun(X1,X3),X5),s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X23),s(X2,X11)))))),file('i/f/finite_map/IN__FRANGE__o__f__suff', ah4s_finiteu_u_maps_ou_u_fu_u_FAPPLY)).
fof(40, axiom,![X3]:![X2]:![X1]:![X23]:![X5]:s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X3),h4s_finiteu_u_maps_ou_u_f(s(t_fun(X1,X3),X5),s(t_h4s_finiteu_u_maps_fmap(X2,X1),X23)))))=s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X23))),file('i/f/finite_map/IN__FRANGE__o__f__suff', ah4s_finiteu_u_maps_FDOMu_u_ou_u_f)).
fof(41, axiom,![X2]:![X1]:![X7]:![X5]:(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_frange(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5))))))<=>?[X24]:(p(s(t_bool,h4s_bools_in(s(X2,X24),s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5))))))&s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5),s(X2,X24)))=s(X1,X7))),file('i/f/finite_map/IN__FRANGE__o__f__suff', ah4s_finiteu_u_maps_INu_u_FRANGE)).
# SZS output end CNFRefutation
