# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:?[X6]:((p(s(t_bool,X6))<=>s(X2,X4)=s(X2,X3))&s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5),s(X2,X4))),s(X2,X3)))=s(X1,h4s_bools_cond(s(t_bool,X6),s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fempty),s(X2,X3))),s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5),s(X2,X3)))))),file('i/f/finite_map/DOMSUB__FAPPLY__THM', ch4s_finiteu_u_maps_DOMSUBu_u_FAPPLYu_u_THM)).
fof(30, axiom,![X2]:![X7]:![X8]:s(X2,h4s_bools_cond(s(t_bool,f),s(X2,X8),s(X2,X7)))=s(X2,X7),file('i/f/finite_map/DOMSUB__FAPPLY__THM', ah4s_bools_boolu_u_caseu_u_thmu_c1)).
fof(33, axiom,![X2]:![X7]:![X8]:s(X2,h4s_bools_cond(s(t_bool,t),s(X2,X8),s(X2,X7)))=s(X2,X8),file('i/f/finite_map/DOMSUB__FAPPLY__THM', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(43, axiom,![X1]:![X2]:![X33]:![X5]:s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5),s(X2,X33))),s(X2,X33)))=s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fempty),s(X2,X33))),file('i/f/finite_map/DOMSUB__FAPPLY__THM', ah4s_finiteu_u_maps_DOMSUBu_u_FAPPLY)).
fof(44, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:(~(s(X2,X4)=s(X2,X3))=>s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5),s(X2,X4))),s(X2,X3)))=s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5),s(X2,X3)))),file('i/f/finite_map/DOMSUB__FAPPLY__THM', ah4s_finiteu_u_maps_DOMSUBu_u_FAPPLYu_u_NEQ)).
fof(57, axiom,~(p(s(t_bool,f))),file('i/f/finite_map/DOMSUB__FAPPLY__THM', aHLu_FALSITY)).
fof(62, axiom,(p(s(t_bool,f))<=>![X12]:p(s(t_bool,X12))),file('i/f/finite_map/DOMSUB__FAPPLY__THM', ah4s_bools_Fu_u_DEF)).
fof(71, axiom,![X12]:(s(t_bool,X12)=s(t_bool,f)<=>~(p(s(t_bool,X12)))),file('i/f/finite_map/DOMSUB__FAPPLY__THM', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(79, axiom,p(s(t_bool,t)),file('i/f/finite_map/DOMSUB__FAPPLY__THM', aHLu_TRUTH)).
# SZS output end CNFRefutation
