# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(s(t_h4s_finiteu_u_maps_fmap(X1,X2),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X1,X2),t_h4s_finiteu_u_maps_fmap(X1,X2)),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X1,X2),t_fun(t_h4s_finiteu_u_maps_fmap(X1,X2),t_h4s_finiteu_u_maps_fmap(X1,X2))),h4s_finiteu_u_maps_fmerge(s(t_fun(X2,t_fun(X2,X2)),X3))),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5))),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4)))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty)<=>(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty)&s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty))),file('i/f/finite_map/FMERGE__EQ__FEMPTY', ch4s_finiteu_u_maps_FMERGEu_u_EQu_u_FEMPTY)).
fof(5, axiom,![X1]:![X2]:![X5]:(![X8]:~(p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5)))))))<=>s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty)),file('i/f/finite_map/FMERGE__EQ__FEMPTY', ah4s_finiteu_u_maps_FDOMu_u_Fu_u_FEMPTY1)).
fof(15, axiom,![X2]:![X1]:![X3]:![X4]:![X5]:s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X1),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X2,X1),t_h4s_finiteu_u_maps_fmap(X2,X1)),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X2,X1),t_fun(t_h4s_finiteu_u_maps_fmap(X2,X1),t_h4s_finiteu_u_maps_fmap(X2,X1))),h4s_finiteu_u_maps_fmerge(s(t_fun(X1,t_fun(X1,X1)),X3))),s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5))),s(t_h4s_finiteu_u_maps_fmap(X2,X1),X4)))))=s(t_fun(X2,t_bool),h4s_predu_u_sets_union(s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5))),s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X4))))),file('i/f/finite_map/FMERGE__EQ__FEMPTY', ah4s_finiteu_u_maps_FMERGEu_u_DEFu_c0)).
fof(17, axiom,![X1]:![X2]:![X3]:![X5]:s(t_h4s_finiteu_u_maps_fmap(X1,X2),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X1,X2),t_h4s_finiteu_u_maps_fmap(X1,X2)),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X1,X2),t_fun(t_h4s_finiteu_u_maps_fmap(X1,X2),t_h4s_finiteu_u_maps_fmap(X1,X2))),h4s_finiteu_u_maps_fmerge(s(t_fun(X2,t_fun(X2,X2)),X3))),s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty))),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5)))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5),file('i/f/finite_map/FMERGE__EQ__FEMPTY', ah4s_finiteu_u_maps_FMERGEu_u_FEMPTYu_c1)).
fof(18, axiom,![X1]:![X2]:![X3]:![X5]:s(t_h4s_finiteu_u_maps_fmap(X1,X2),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X1,X2),t_h4s_finiteu_u_maps_fmap(X1,X2)),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X1,X2),t_fun(t_h4s_finiteu_u_maps_fmap(X1,X2),t_h4s_finiteu_u_maps_fmap(X1,X2))),h4s_finiteu_u_maps_fmerge(s(t_fun(X2,t_fun(X2,X2)),X3))),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5))),s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty)))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5),file('i/f/finite_map/FMERGE__EQ__FEMPTY', ah4s_finiteu_u_maps_FMERGEu_u_FEMPTYu_c0)).
fof(20, axiom,![X16]:![X17]:((p(s(t_bool,X17))=>p(s(t_bool,X16)))=>((p(s(t_bool,X16))=>p(s(t_bool,X17)))=>s(t_bool,X17)=s(t_bool,X16))),file('i/f/finite_map/FMERGE__EQ__FEMPTY', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(45, axiom,![X1]:![X7]:~(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/finite_map/FMERGE__EQ__FEMPTY', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(49, axiom,![X1]:![X7]:![X13]:![X28]:(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X28),s(t_fun(X1,t_bool),X13))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X28))))|p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X13)))))),file('i/f/finite_map/FMERGE__EQ__FEMPTY', ah4s_predu_u_sets_INu_u_UNION)).
fof(50, axiom,![X1]:![X13]:![X28]:s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X28),s(t_fun(X1,t_bool),X13)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X13),s(t_fun(X1,t_bool),X28))),file('i/f/finite_map/FMERGE__EQ__FEMPTY', ah4s_predu_u_sets_UNIONu_u_COMM)).
fof(53, axiom,![X1]:![X16]:![X17]:s(X1,h4s_bools_cond(s(t_bool,f0),s(X1,X17),s(X1,X16)))=s(X1,X16),file('i/f/finite_map/FMERGE__EQ__FEMPTY', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(54, axiom,![X1]:![X16]:![X17]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X17),s(X1,X16)))=s(X1,X17),file('i/f/finite_map/FMERGE__EQ__FEMPTY', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(58, axiom,![X16]:![X17]:![X30]:(p(s(t_bool,h4s_bools_cond(s(t_bool,X30),s(t_bool,X17),s(t_bool,X16))))<=>((~(p(s(t_bool,X30)))|p(s(t_bool,X17)))&(p(s(t_bool,X30))|p(s(t_bool,X16))))),file('i/f/finite_map/FMERGE__EQ__FEMPTY', ah4s_bools_CONDu_u_EXPAND)).
# SZS output end CNFRefutation
