# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(![X3]:![X4]:s(t_h4s_pairs_prod(X1,t_bool),happ(s(t_fun(X1,t_h4s_pairs_prod(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_h4s_pairs_prod(X1,t_bool))),X2),s(t_fun(X1,t_bool),X3))),s(X1,X4)))=s(t_h4s_pairs_prod(X1,t_bool),happ(s(t_fun(t_bool,t_h4s_pairs_prod(X1,t_bool)),happ(s(t_fun(X1,t_fun(t_bool,t_h4s_pairs_prod(X1,t_bool))),h4s_pairs_u_2c),s(X1,X4))),s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X3)))))=>![X3]:s(t_fun(X1,t_bool),h4s_predu_u_sets_gspec(s(t_fun(X1,t_h4s_pairs_prod(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_h4s_pairs_prod(X1,t_bool))),X2),s(t_fun(X1,t_bool),X3)))))=s(t_fun(X1,t_bool),X3)),file('i/f/pred_set/GSPEC__ID', ch4s_predu_u_sets_GSPECu_u_ID)).
fof(43, axiom,![X1]:![X2]:(![X22]:![X4]:s(t_h4s_pairs_prod(X1,t_bool),happ(s(t_fun(X1,t_h4s_pairs_prod(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_h4s_pairs_prod(X1,t_bool))),X2),s(t_fun(X1,t_bool),X22))),s(X1,X4)))=s(t_h4s_pairs_prod(X1,t_bool),happ(s(t_fun(t_bool,t_h4s_pairs_prod(X1,t_bool)),happ(s(t_fun(X1,t_fun(t_bool,t_h4s_pairs_prod(X1,t_bool))),h4s_pairs_u_2c),s(X1,X4))),s(t_bool,happ(s(t_fun(X1,t_bool),X22),s(X1,X4)))))=>![X22]:s(t_fun(X1,t_bool),h4s_predu_u_sets_gspec(s(t_fun(X1,t_h4s_pairs_prod(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_h4s_pairs_prod(X1,t_bool))),X2),s(t_fun(X1,t_bool),X22)))))=s(t_fun(X1,t_bool),X22)),file('i/f/pred_set/GSPEC__ID', ah4s_predu_u_sets_GSPECu_u_ETA)).
fof(50, axiom,![X1]:![X4]:![X22]:s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X22)))=s(t_bool,happ(s(t_fun(X1,t_bool),X22),s(X1,X4))),file('i/f/pred_set/GSPEC__ID', ah4s_predu_u_sets_SPECIFICATION)).
# SZS output end CNFRefutation
