# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(![X4]:![X5]:![X6]:![X7]:s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_h4s_pairs_prod(X2,t_bool)),t_fun(X1,t_bool)),happ(s(t_fun(X2,t_fun(t_fun(X1,t_h4s_pairs_prod(X2,t_bool)),t_fun(X1,t_bool))),happ(s(t_fun(t_fun(X2,t_fun(X2,t_bool)),t_fun(X2,t_fun(t_fun(X1,t_h4s_pairs_prod(X2,t_bool)),t_fun(X1,t_bool)))),X3),s(t_fun(X2,t_fun(X2,t_bool)),X4))),s(X2,X5))),s(t_fun(X1,t_h4s_pairs_prod(X2,t_bool)),X6))),s(X1,X7)))=s(t_bool,h4s_quotientu_u_pairs_u_23u_23u_23(s(t_fun(X2,t_fun(X2,t_bool)),X4),s(t_fun(t_bool,t_fun(t_bool,t_bool)),d_equals),s(t_h4s_pairs_prod(X2,t_bool),h4s_pairs_u_2c(s(X2,X5),s(t_bool,t))),s(t_h4s_pairs_prod(X2,t_bool),happ(s(t_fun(X1,t_h4s_pairs_prod(X2,t_bool)),X6),s(X1,X7)))))=>![X5]:![X6]:![X4]:![X8]:s(t_bool,h4s_bools_in(s(X2,X5),s(t_fun(X2,t_bool),h4s_quotientu_u_predu_u_sets_gspecr(s(t_fun(X1,t_fun(X1,t_bool)),X8),s(t_fun(X2,t_fun(X2,t_bool)),X4),s(t_fun(X1,t_h4s_pairs_prod(X2,t_bool)),X6)))))=s(t_bool,h4s_bools_resu_u_exists(s(t_fun(X1,t_bool),h4s_quotients_respects(s(t_fun(X1,t_fun(X1,t_bool)),X8))),s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_h4s_pairs_prod(X2,t_bool)),t_fun(X1,t_bool)),happ(s(t_fun(X2,t_fun(t_fun(X1,t_h4s_pairs_prod(X2,t_bool)),t_fun(X1,t_bool))),happ(s(t_fun(t_fun(X2,t_fun(X2,t_bool)),t_fun(X2,t_fun(t_fun(X1,t_h4s_pairs_prod(X2,t_bool)),t_fun(X1,t_bool)))),X3),s(t_fun(X2,t_fun(X2,t_bool)),X4))),s(X2,X5))),s(t_fun(X1,t_h4s_pairs_prod(X2,t_bool)),X6)))))),file('i/f/quotient_pred_set/IN__GSPECR', ch4s_quotientu_u_predu_u_sets_INu_u_GSPECR)).
fof(9, axiom,![X2]:![X7]:![X13]:s(t_bool,h4s_bools_in(s(X2,X7),s(t_fun(X2,t_bool),X13)))=s(t_bool,happ(s(t_fun(X2,t_bool),X13),s(X2,X7))),file('i/f/quotient_pred_set/IN__GSPECR', ah4s_predu_u_sets_SPECIFICATION)).
fof(10, axiom,![X2]:![X1]:![X3]:(![X4]:![X5]:![X6]:![X7]:s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(t_fun(X2,t_h4s_pairs_prod(X1,t_bool)),t_fun(X2,t_bool)),happ(s(t_fun(X1,t_fun(t_fun(X2,t_h4s_pairs_prod(X1,t_bool)),t_fun(X2,t_bool))),happ(s(t_fun(t_fun(X1,t_fun(X1,t_bool)),t_fun(X1,t_fun(t_fun(X2,t_h4s_pairs_prod(X1,t_bool)),t_fun(X2,t_bool)))),X3),s(t_fun(X1,t_fun(X1,t_bool)),X4))),s(X1,X5))),s(t_fun(X2,t_h4s_pairs_prod(X1,t_bool)),X6))),s(X2,X7)))=s(t_bool,h4s_quotientu_u_pairs_u_23u_23u_23(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(t_fun(t_bool,t_fun(t_bool,t_bool)),d_equals),s(t_h4s_pairs_prod(X1,t_bool),h4s_pairs_u_2c(s(X1,X5),s(t_bool,t))),s(t_h4s_pairs_prod(X1,t_bool),happ(s(t_fun(X2,t_h4s_pairs_prod(X1,t_bool)),X6),s(X2,X7)))))=>![X5]:![X6]:![X4]:![X8]:s(t_bool,happ(s(t_fun(X1,t_bool),h4s_quotientu_u_predu_u_sets_gspecr(s(t_fun(X2,t_fun(X2,t_bool)),X8),s(t_fun(X1,t_fun(X1,t_bool)),X4),s(t_fun(X2,t_h4s_pairs_prod(X1,t_bool)),X6))),s(X1,X5)))=s(t_bool,h4s_bools_resu_u_exists(s(t_fun(X2,t_bool),h4s_quotients_respects(s(t_fun(X2,t_fun(X2,t_bool)),X8))),s(t_fun(X2,t_bool),happ(s(t_fun(t_fun(X2,t_h4s_pairs_prod(X1,t_bool)),t_fun(X2,t_bool)),happ(s(t_fun(X1,t_fun(t_fun(X2,t_h4s_pairs_prod(X1,t_bool)),t_fun(X2,t_bool))),happ(s(t_fun(t_fun(X1,t_fun(X1,t_bool)),t_fun(X1,t_fun(t_fun(X2,t_h4s_pairs_prod(X1,t_bool)),t_fun(X2,t_bool)))),X3),s(t_fun(X1,t_fun(X1,t_bool)),X4))),s(X1,X5))),s(t_fun(X2,t_h4s_pairs_prod(X1,t_bool)),X6)))))),file('i/f/quotient_pred_set/IN__GSPECR', ah4s_quotientu_u_predu_u_sets_GSPECRu_u_def)).
# SZS output end CNFRefutation
