# 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)),X3),s(X2,X4))),s(X2,X5))))=>p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X3),s(X2,X5))),s(X2,X4)))))=>![X4]:![X5]:(p(s(t_bool,h4s_finiteu_u_maps_fmapu_u_rel(s(t_fun(X2,t_fun(X2,t_bool)),X3),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5))))=>p(s(t_bool,h4s_finiteu_u_maps_fmapu_u_rel(s(t_fun(X2,t_fun(X2,t_bool)),X3),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/fmap__rel__sym', ch4s_finiteu_u_maps_fmapu_u_relu_u_sym)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/finite_map/fmap__rel__sym', aHLu_TRUTH)).
fof(8, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/finite_map/fmap__rel__sym', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(13, axiom,![X2]:![X1]:![X16]:![X17]:![X18]:![X3]:(p(s(t_bool,h4s_finiteu_u_maps_fmapu_u_rel(s(t_fun(X2,t_fun(X1,t_bool)),X3),s(t_h4s_finiteu_u_maps_fmap(X16,X2),X18),s(t_h4s_finiteu_u_maps_fmap(X16,X1),X17))))<=>(s(t_fun(X16,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X16,X1),X17)))=s(t_fun(X16,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X16,X2),X18)))&![X4]:(p(s(t_bool,h4s_bools_in(s(X16,X4),s(t_fun(X16,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X16,X2),X18))))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X2,t_fun(X1,t_bool)),X3),s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X16,X2),X18),s(X16,X4))))),s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X16,X1),X17),s(X16,X4))))))))),file('i/f/finite_map/fmap__rel__sym', ah4s_finiteu_u_maps_fmapu_u_relu_u_def)).
fof(14, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/finite_map/fmap__rel__sym', aHLu_BOOLu_CASES)).
fof(15, axiom,~(p(s(t_bool,f))),file('i/f/finite_map/fmap__rel__sym', aHLu_FALSITY)).
# SZS output end CNFRefutation
