# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(2, axiom,~(p(s(t_bool,f0))),file('i/f/finite_map/fmap__rel__FEMPTY2_c0', aHLu_FALSITY)).
fof(5, axiom,![X7]:![X8]:![X9]:![X10]:![X11]:![X12]:(p(s(t_bool,h4s_finiteu_u_maps_fmapu_u_rel(s(t_fun(X7,t_fun(X8,t_bool)),X12),s(t_h4s_finiteu_u_maps_fmap(X9,X7),X11),s(t_h4s_finiteu_u_maps_fmap(X9,X8),X10))))<=>(s(t_fun(X9,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X9,X8),X10)))=s(t_fun(X9,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X9,X7),X11)))&![X6]:(p(s(t_bool,h4s_bools_in(s(X9,X6),s(t_fun(X9,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X9,X7),X11))))))=>p(s(t_bool,happ(s(t_fun(X8,t_bool),happ(s(t_fun(X7,t_fun(X8,t_bool)),X12),s(X7,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X9,X7),X11),s(X9,X6))))),s(X8,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X9,X8),X10),s(X9,X6))))))))),file('i/f/finite_map/fmap__rel__FEMPTY2_c0', ah4s_finiteu_u_maps_fmapu_u_relu_u_def)).
fof(6, axiom,![X7]:![X9]:![X8]:![X12]:p(s(t_bool,h4s_finiteu_u_maps_fmapu_u_rel(s(t_fun(X7,t_fun(X8,t_bool)),X12),s(t_h4s_finiteu_u_maps_fmap(X9,X7),h4s_finiteu_u_maps_fempty),s(t_h4s_finiteu_u_maps_fmap(X9,X8),h4s_finiteu_u_maps_fempty)))),file('i/f/finite_map/fmap__rel__FEMPTY2_c0', ah4s_finiteu_u_maps_fmapu_u_relu_u_FEMPTY)).
fof(19, axiom,![X8]:![X7]:s(t_fun(X7,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X7,X8),h4s_finiteu_u_maps_fempty)))=s(t_fun(X7,t_bool),h4s_predu_u_sets_empty),file('i/f/finite_map/fmap__rel__FEMPTY2_c0', ah4s_finiteu_u_maps_FDOMu_u_FEMPTY)).
fof(20, axiom,![X7]:![X6]:~(p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),h4s_predu_u_sets_empty))))),file('i/f/finite_map/fmap__rel__FEMPTY2_c0', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(58, axiom,![X7]:![X8]:![X5]:![X4]:((s(t_fun(X7,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X7,X8),X4)))=s(t_fun(X7,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X7,X8),X5)))&![X6]:(p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X7,X8),X4))))))=>s(X8,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X7,X8),X4),s(X7,X6)))=s(X8,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X7,X8),X5),s(X7,X6)))))<=>s(t_h4s_finiteu_u_maps_fmap(X7,X8),X4)=s(t_h4s_finiteu_u_maps_fmap(X7,X8),X5)),file('i/f/finite_map/fmap__rel__FEMPTY2_c0', ah4s_finiteu_u_maps_fmapu_u_EQu_u_THM)).
fof(64, axiom,![X1]:(s(t_bool,f0)=s(t_bool,X1)<=>~(p(s(t_bool,X1)))),file('i/f/finite_map/fmap__rel__FEMPTY2_c0', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(133, conjecture,![X8]:![X7]:![X4]:![X12]:(p(s(t_bool,h4s_finiteu_u_maps_fmapu_u_rel(s(t_fun(X7,t_fun(X7,t_bool)),X12),s(t_h4s_finiteu_u_maps_fmap(X8,X7),h4s_finiteu_u_maps_fempty),s(t_h4s_finiteu_u_maps_fmap(X8,X7),X4))))<=>s(t_h4s_finiteu_u_maps_fmap(X8,X7),X4)=s(t_h4s_finiteu_u_maps_fmap(X8,X7),h4s_finiteu_u_maps_fempty)),file('i/f/finite_map/fmap__rel__FEMPTY2_c0', ch4s_finiteu_u_maps_fmapu_u_relu_u_FEMPTY2u_c0)).
# SZS output end CNFRefutation
