# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_quotients_u_2du_2du_3e(s(t_fun(X1,X2),X5),s(t_fun(t_bool,t_bool),h4s_combins_i),s(t_fun(X2,t_bool),X4)))))=s(t_bool,h4s_bools_in(s(X2,happ(s(t_fun(X1,X2),X5),s(X1,X3))),s(t_fun(X2,t_bool),X4))),file('i/f/quotient_pred_set/IN__SET__MAP', ch4s_quotientu_u_predu_u_sets_INu_u_SETu_u_MAP)).
fof(4, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f0)),file('i/f/quotient_pred_set/IN__SET__MAP', aHLu_BOOLu_CASES)).
fof(8, axiom,![X1]:![X3]:s(X1,happ(s(t_fun(X1,X1),h4s_combins_i),s(X1,X3)))=s(X1,X3),file('i/f/quotient_pred_set/IN__SET__MAP', ah4s_combins_Iu_u_THM)).
fof(9, axiom,![X1]:![X3]:![X10]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X10)))=s(t_bool,happ(s(t_fun(X1,t_bool),X10),s(X1,X3))),file('i/f/quotient_pred_set/IN__SET__MAP', ah4s_predu_u_sets_SPECIFICATION)).
fof(10, axiom,![X11]:![X2]:![X12]:![X1]:![X3]:![X13]:![X9]:![X5]:s(X11,happ(s(t_fun(X1,X11),h4s_quotients_u_2du_2du_3e(s(t_fun(X1,X12),X5),s(t_fun(X2,X11),X9),s(t_fun(X12,X2),X13))),s(X1,X3)))=s(X11,happ(s(t_fun(X2,X11),X9),s(X2,happ(s(t_fun(X12,X2),X13),s(X12,happ(s(t_fun(X1,X12),X5),s(X1,X3))))))),file('i/f/quotient_pred_set/IN__SET__MAP', ah4s_quotients_FUNu_u_MAPu_u_THM)).
# SZS output end CNFRefutation
