# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:(![X8]:![X9]:(p(s(t_bool,happ(s(t_fun(X3,t_bool),happ(s(t_fun(X1,t_fun(X3,t_bool)),X7),s(X1,X8))),s(X3,X9))))=>p(s(t_bool,happ(s(t_fun(X3,t_bool),happ(s(t_fun(X1,t_fun(X3,t_bool)),X6),s(X1,X8))),s(X3,X9)))))=>(p(s(t_bool,h4s_finiteu_u_maps_fmapu_u_rel(s(t_fun(X1,t_fun(X3,t_bool)),X7),s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5),s(t_h4s_finiteu_u_maps_fmap(X2,X3),X4))))=>p(s(t_bool,h4s_finiteu_u_maps_fmapu_u_rel(s(t_fun(X1,t_fun(X3,t_bool)),X6),s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5),s(t_h4s_finiteu_u_maps_fmap(X2,X3),X4)))))),file('i/f/finite_map/fmap__rel__mono', ch4s_finiteu_u_maps_fmapu_u_relu_u_mono)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/finite_map/fmap__rel__mono', aHLu_TRUTH)).
fof(8, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)<=>p(s(t_bool,X10))),file('i/f/finite_map/fmap__rel__mono', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(13, axiom,![X1]:![X3]:![X2]:![X4]:![X5]:![X20]:(p(s(t_bool,h4s_finiteu_u_maps_fmapu_u_rel(s(t_fun(X1,t_fun(X3,t_bool)),X20),s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5),s(t_h4s_finiteu_u_maps_fmap(X2,X3),X4))))<=>(s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X3),X4)))=s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5)))&![X8]:(p(s(t_bool,h4s_bools_in(s(X2,X8),s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5))))))=>p(s(t_bool,happ(s(t_fun(X3,t_bool),happ(s(t_fun(X1,t_fun(X3,t_bool)),X20),s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5),s(X2,X8))))),s(X3,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X3),X4),s(X2,X8))))))))),file('i/f/finite_map/fmap__rel__mono', ah4s_finiteu_u_maps_fmapu_u_relu_u_def)).
fof(14, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)|s(t_bool,X10)=s(t_bool,f)),file('i/f/finite_map/fmap__rel__mono', aHLu_BOOLu_CASES)).
fof(15, axiom,~(p(s(t_bool,f))),file('i/f/finite_map/fmap__rel__mono', aHLu_FALSITY)).
# SZS output end CNFRefutation
