# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_fun(t_h4s_pairs_prod(X1,X2),t_h4s_pairs_prod(X1,X2)),h4s_pairs_u_23u_23(s(t_fun(X1,X1),h4s_combins_i),s(t_fun(X2,X2),h4s_combins_i)))=s(t_fun(t_h4s_pairs_prod(X1,X2),t_h4s_pairs_prod(X1,X2)),h4s_combins_i),file('i/f/quotient_pair/PAIR__MAP__I', ch4s_quotientu_u_pairs_PAIRu_u_MAPu_u_I)).
fof(2, axiom,![X1]:![X3]:s(X1,happ(s(t_fun(X1,X1),h4s_combins_i),s(X1,X3)))=s(X1,X3),file('i/f/quotient_pair/PAIR__MAP__I', ah4s_combins_Iu_u_THM)).
fof(3, axiom,![X4]:![X5]:![X6]:![X7]:(![X3]:s(X5,happ(s(t_fun(X4,X5),X6),s(X4,X3)))=s(X5,happ(s(t_fun(X4,X5),X7),s(X4,X3)))=>s(t_fun(X4,X5),X6)=s(t_fun(X4,X5),X7)),file('i/f/quotient_pair/PAIR__MAP__I', aHLu_EXT)).
fof(5, axiom,![X1]:![X2]:![X3]:?[X9]:?[X10]:s(t_h4s_pairs_prod(X1,X2),X3)=s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X9),s(X2,X10))),file('i/f/quotient_pair/PAIR__MAP__I', ah4s_pairs_ABSu_u_PAIRu_u_THM)).
fof(6, axiom,![X2]:![X1]:![X11]:![X12]:![X13]:![X3]:![X7]:![X6]:s(t_h4s_pairs_prod(X2,X11),happ(s(t_fun(t_h4s_pairs_prod(X1,X12),t_h4s_pairs_prod(X2,X11)),h4s_pairs_u_23u_23(s(t_fun(X1,X2),X6),s(t_fun(X12,X11),X7))),s(t_h4s_pairs_prod(X1,X12),h4s_pairs_u_2c(s(X1,X3),s(X12,X13)))))=s(t_h4s_pairs_prod(X2,X11),h4s_pairs_u_2c(s(X2,happ(s(t_fun(X1,X2),X6),s(X1,X3))),s(X11,happ(s(t_fun(X12,X11),X7),s(X12,X13))))),file('i/f/quotient_pair/PAIR__MAP__I', ah4s_pairs_PAIRu_u_MAPu_u_THM)).
# SZS output end CNFRefutation
