# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((![X5]:![X6]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X5))),s(X1,X6))))<=>s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X5)))=s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X6))))&![X5]:![X6]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X3),s(X2,X5))),s(X2,X6))))<=>s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X3),s(X2,X5)))=s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X3),s(X2,X6)))))=>![X5]:p(s(t_bool,h4s_quotientu_u_pairs_u_23u_23u_23(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(t_fun(X2,t_fun(X2,t_bool)),X3),s(t_h4s_pairs_prod(X1,X2),X5),s(t_h4s_pairs_prod(X1,X2),X5))))),file('i/f/quotient_pair/PAIR__REL__REFL', ch4s_quotientu_u_pairs_PAIRu_u_RELu_u_REFL)).
fof(6, axiom,![X1]:![X8]:![X2]:![X9]:![X10]:![X11]:![X12]:![X13]:![X3]:![X4]:(p(s(t_bool,h4s_quotientu_u_pairs_u_23u_23u_23(s(t_fun(X1,t_fun(X8,t_bool)),X4),s(t_fun(X2,t_fun(X9,t_bool)),X3),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X13),s(X2,X12))),s(t_h4s_pairs_prod(X8,X9),h4s_pairs_u_2c(s(X8,X11),s(X9,X10))))))<=>(p(s(t_bool,happ(s(t_fun(X8,t_bool),happ(s(t_fun(X1,t_fun(X8,t_bool)),X4),s(X1,X13))),s(X8,X11))))&p(s(t_bool,happ(s(t_fun(X9,t_bool),happ(s(t_fun(X2,t_fun(X9,t_bool)),X3),s(X2,X12))),s(X9,X10)))))),file('i/f/quotient_pair/PAIR__REL__REFL', ah4s_quotientu_u_pairs_PAIRu_u_RELu_u_THM)).
fof(7, axiom,![X1]:![X2]:![X5]:?[X14]:?[X15]:s(t_h4s_pairs_prod(X1,X2),X5)=s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X14),s(X2,X15))),file('i/f/quotient_pair/PAIR__REL__REFL', ah4s_pairs_ABSu_u_PAIRu_u_THM)).
# SZS output end CNFRefutation
