# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),h4s_setu_u_relations_relu_u_tou_u_reln(s(t_fun(X1,t_fun(X2,t_bool)),h4s_setu_u_relations_relnu_u_tou_u_rel(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X3)))))=s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X3),file('i/f/set_relation/reln__to__rel__inv', ch4s_setu_u_relations_relnu_u_tou_u_relu_u_inv)).
fof(2, axiom,![X1]:![X2]:![X4]:![X5]:s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X2),X4),s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),h4s_setu_u_relations_relu_u_tou_u_reln(s(t_fun(X1,t_fun(X2,t_bool)),X5)))))=s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),X5),s(X1,h4s_pairs_fst(s(t_h4s_pairs_prod(X1,X2),X4))))),s(X2,h4s_pairs_snd(s(t_h4s_pairs_prod(X1,X2),X4))))),file('i/f/set_relation/reln__to__rel__inv', ah4s_setu_u_relations_inu_u_relu_u_tou_u_reln)).
fof(3, axiom,![X1]:![X2]:![X6]:![X7]:![X3]:s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),h4s_setu_u_relations_relnu_u_tou_u_rel(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X3))),s(X1,X7))),s(X2,X6)))=s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X7),s(X2,X6))),s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X3))),file('i/f/set_relation/reln__to__rel__inv', ah4s_setu_u_relations_relnu_u_tou_u_relu_u_app)).
fof(5, axiom,![X1]:![X2]:![X7]:s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,h4s_pairs_fst(s(t_h4s_pairs_prod(X1,X2),X7))),s(X2,h4s_pairs_snd(s(t_h4s_pairs_prod(X1,X2),X7)))))=s(t_h4s_pairs_prod(X1,X2),X7),file('i/f/set_relation/reln__to__rel__inv', ah4s_pairs_PAIR)).
fof(6, axiom,![X1]:![X12]:![X13]:(s(t_fun(X1,t_bool),X13)=s(t_fun(X1,t_bool),X12)<=>![X7]:s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X13)))=s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X12)))),file('i/f/set_relation/reln__to__rel__inv', ah4s_predu_u_sets_EXTENSION)).
# SZS output end CNFRefutation
