# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(![X4]:s(t_h4s_sums_sum(X2,t_h4s_ones_one),happ(s(t_fun(X1,t_h4s_sums_sum(X2,t_h4s_ones_one)),X3),s(X1,X4)))=s(t_h4s_sums_sum(X2,t_h4s_ones_one),h4s_sums_inr(s(t_h4s_ones_one,h4s_ones_one0)))=>p(s(t_bool,h4s_finiteu_u_maps_isu_u_fmap(s(t_fun(X1,t_h4s_sums_sum(X2,t_h4s_ones_one)),X3))))),file('i/f/finite_map/is__fmap__rules_c0', ch4s_finiteu_u_maps_isu_u_fmapu_u_rulesu_c0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/finite_map/is__fmap__rules_c0', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/finite_map/is__fmap__rules_c0', aHLu_FALSITY)).
fof(12, axiom,![X1]:![X2]:![X10]:(p(s(t_bool,h4s_finiteu_u_maps_isu_u_fmap(s(t_fun(X1,t_h4s_sums_sum(X2,t_h4s_ones_one)),X10))))<=>![X18]:(![X19]:((![X20]:s(t_h4s_sums_sum(X2,t_h4s_ones_one),happ(s(t_fun(X1,t_h4s_sums_sum(X2,t_h4s_ones_one)),X19),s(X1,X20)))=s(t_h4s_sums_sum(X2,t_h4s_ones_one),h4s_sums_inr(s(t_h4s_ones_one,h4s_ones_one0)))|?[X16]:?[X4]:?[X21]:(![X20]:?[X22]:((p(s(t_bool,X22))<=>s(X1,X20)=s(X1,X4))&s(t_h4s_sums_sum(X2,t_h4s_ones_one),happ(s(t_fun(X1,t_h4s_sums_sum(X2,t_h4s_ones_one)),X19),s(X1,X20)))=s(t_h4s_sums_sum(X2,t_h4s_ones_one),h4s_bools_cond(s(t_bool,X22),s(t_h4s_sums_sum(X2,t_h4s_ones_one),h4s_sums_inl(s(X2,X21))),s(t_h4s_sums_sum(X2,t_h4s_ones_one),happ(s(t_fun(X1,t_h4s_sums_sum(X2,t_h4s_ones_one)),X16),s(X1,X20))))))&p(s(t_bool,happ(s(t_fun(t_fun(X1,t_h4s_sums_sum(X2,t_h4s_ones_one)),t_bool),X18),s(t_fun(X1,t_h4s_sums_sum(X2,t_h4s_ones_one)),X16))))))=>p(s(t_bool,happ(s(t_fun(t_fun(X1,t_h4s_sums_sum(X2,t_h4s_ones_one)),t_bool),X18),s(t_fun(X1,t_h4s_sums_sum(X2,t_h4s_ones_one)),X19)))))=>p(s(t_bool,happ(s(t_fun(t_fun(X1,t_h4s_sums_sum(X2,t_h4s_ones_one)),t_bool),X18),s(t_fun(X1,t_h4s_sums_sum(X2,t_h4s_ones_one)),X10)))))),file('i/f/finite_map/is__fmap__rules_c0', ah4s_finiteu_u_maps_isu_u_fmapu_u_def)).
fof(13, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/finite_map/is__fmap__rules_c0', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
