# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((![X4]:![X5]:(p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X4),s(X1,X5))),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X4))),s(X1,X5)))))&![X4]:![X5]:(?[X6]:(p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X4),s(X1,X6))),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),h4s_setu_u_relations_tc(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X4))),s(X1,X6))))&(p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X6),s(X1,X5))),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),h4s_setu_u_relations_tc(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X6))),s(X1,X5)))))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X4))),s(X1,X5))))))=>![X4]:![X5]:(p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X4),s(X1,X5))),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),h4s_setu_u_relations_tc(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X4))),s(X1,X5)))))),file('i/f/set_relation/tc__strongind', ch4s_setu_u_relations_tcu_u_strongind)).
fof(6, axiom,![X1]:![X4]:![X16]:s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X16)))=s(t_bool,happ(s(t_fun(X1,t_bool),X16),s(X1,X4))),file('i/f/set_relation/tc__strongind', ah4s_predu_u_sets_SPECIFICATION)).
fof(7, axiom,![X1]:![X2]:![X3]:((![X4]:![X5]:(p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3),s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X4),s(X1,X5))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X2),s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X4),s(X1,X5)))))))&![X4]:![X5]:(?[X6]:(p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),h4s_setu_u_relations_tc(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))),s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X4),s(X1,X6))))))&(p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X2),s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X4),s(X1,X6))))))&(p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),h4s_setu_u_relations_tc(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))),s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X6),s(X1,X5))))))&p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X2),s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X6),s(X1,X5)))))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X2),s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X4),s(X1,X5))))))))=>![X17]:(p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),h4s_setu_u_relations_tc(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))),s(t_h4s_pairs_prod(X1,X1),X17))))=>p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X2),s(t_h4s_pairs_prod(X1,X1),X17)))))),file('i/f/set_relation/tc__strongind', ah4s_setu_u_relations_tcu_u_strongind0)).
fof(8, axiom,![X18]:![X1]:![X19]:![X5]:![X4]:![X14]:s(X18,happ(s(t_fun(t_h4s_pairs_prod(X1,X19),X18),h4s_pairs_uncurry(s(t_fun(X1,t_fun(X19,X18)),X14))),s(t_h4s_pairs_prod(X1,X19),h4s_pairs_u_2c(s(X1,X4),s(X19,X5)))))=s(X18,happ(s(t_fun(X19,X18),happ(s(t_fun(X1,t_fun(X19,X18)),X14),s(X1,X4))),s(X19,X5))),file('i/f/set_relation/tc__strongind', ah4s_pairs_UNCURRYu_u_DEF)).
# SZS output end CNFRefutation
