# 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),happ(s(t_fun(t_h4s_ones_one,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(3, axiom,~(p(s(t_bool,f))),file('i/f/finite_map/is__fmap__rules_c0', aHLu_FALSITY)).
fof(19, axiom,![X5]:(s(t_bool,f)=s(t_bool,X5)<=>~(p(s(t_bool,X5)))),file('i/f/finite_map/is__fmap__rules_c0', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(58, axiom,![X1]:![X2]:![X6]:(p(s(t_bool,h4s_finiteu_u_maps_isu_u_fmap(s(t_fun(X1,t_h4s_sums_sum(X2,t_h4s_ones_one)),X6))))<=>![X25]:(![X26]:((![X27]:s(t_h4s_sums_sum(X2,t_h4s_ones_one),happ(s(t_fun(X1,t_h4s_sums_sum(X2,t_h4s_ones_one)),X26),s(X1,X27)))=s(t_h4s_sums_sum(X2,t_h4s_ones_one),happ(s(t_fun(t_h4s_ones_one,t_h4s_sums_sum(X2,t_h4s_ones_one)),h4s_sums_inr),s(t_h4s_ones_one,h4s_ones_one0)))|?[X23]:?[X4]:?[X28]:(![X27]:?[X29]:((p(s(t_bool,X29))<=>s(X1,X27)=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)),X26),s(X1,X27)))=s(t_h4s_sums_sum(X2,t_h4s_ones_one),h4s_bools_cond(s(t_bool,X29),s(t_h4s_sums_sum(X2,t_h4s_ones_one),happ(s(t_fun(X2,t_h4s_sums_sum(X2,t_h4s_ones_one)),h4s_sums_inl),s(X2,X28))),s(t_h4s_sums_sum(X2,t_h4s_ones_one),happ(s(t_fun(X1,t_h4s_sums_sum(X2,t_h4s_ones_one)),X23),s(X1,X27))))))&p(s(t_bool,happ(s(t_fun(t_fun(X1,t_h4s_sums_sum(X2,t_h4s_ones_one)),t_bool),X25),s(t_fun(X1,t_h4s_sums_sum(X2,t_h4s_ones_one)),X23))))))=>p(s(t_bool,happ(s(t_fun(t_fun(X1,t_h4s_sums_sum(X2,t_h4s_ones_one)),t_bool),X25),s(t_fun(X1,t_h4s_sums_sum(X2,t_h4s_ones_one)),X26)))))=>p(s(t_bool,happ(s(t_fun(t_fun(X1,t_h4s_sums_sum(X2,t_h4s_ones_one)),t_bool),X25),s(t_fun(X1,t_h4s_sums_sum(X2,t_h4s_ones_one)),X6)))))),file('i/f/finite_map/is__fmap__rules_c0', ah4s_finiteu_u_maps_isu_u_fmapu_u_def)).
# SZS output end CNFRefutation
