# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X3,t_fun(X3,t_bool)),X7),s(t_fun(X3,X1),X6),s(t_fun(X1,X3),X5))))=>![X8]:![X9]:![X10]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X4,t_fun(X4,t_bool)),X8),s(t_fun(X4,X2),X9),s(t_fun(X2,X4),X10))))=>![X11]:![X12]:(p(s(t_bool,h4s_quotientu_u_pairs_u_23u_23u_23(s(t_fun(X3,t_fun(X3,t_bool)),X7),s(t_fun(X4,t_fun(X4,t_bool)),X8),s(t_h4s_pairs_prod(X3,X4),X11),s(t_h4s_pairs_prod(X3,X4),X12))))=>p(s(t_bool,happ(s(t_fun(X3,t_bool),happ(s(t_fun(X3,t_fun(X3,t_bool)),X7),s(X3,h4s_pairs_fst(s(t_h4s_pairs_prod(X3,X4),X11))))),s(X3,h4s_pairs_fst(s(t_h4s_pairs_prod(X3,X4),X12))))))))),file('i/f/quotient_pair/FST__RSP', ch4s_quotientu_u_pairs_FSTu_u_RSP)).
fof(3, axiom,![X3]:![X1]:![X4]:![X2]:![X18]:![X19]:![X20]:![X21]:![X8]:![X7]:(p(s(t_bool,h4s_quotientu_u_pairs_u_23u_23u_23(s(t_fun(X3,t_fun(X1,t_bool)),X7),s(t_fun(X4,t_fun(X2,t_bool)),X8),s(t_h4s_pairs_prod(X3,X4),h4s_pairs_u_2c(s(X3,X21),s(X4,X20))),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X19),s(X2,X18))))))<=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X3,t_fun(X1,t_bool)),X7),s(X3,X21))),s(X1,X19))))&p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X4,t_fun(X2,t_bool)),X8),s(X4,X20))),s(X2,X18)))))),file('i/f/quotient_pair/FST__RSP', ah4s_quotientu_u_pairs_PAIRu_u_RELu_u_THM)).
fof(4, axiom,![X4]:![X3]:![X22]:![X17]:s(X3,h4s_pairs_fst(s(t_h4s_pairs_prod(X3,X4),h4s_pairs_u_2c(s(X3,X17),s(X4,X22)))))=s(X3,X17),file('i/f/quotient_pair/FST__RSP', ah4s_pairs_FST0)).
fof(5, axiom,![X3]:![X4]:![X17]:?[X23]:?[X24]:s(t_h4s_pairs_prod(X3,X4),X17)=s(t_h4s_pairs_prod(X3,X4),h4s_pairs_u_2c(s(X3,X23),s(X4,X24))),file('i/f/quotient_pair/FST__RSP', ah4s_pairs_ABSu_u_PAIRu_u_THM)).
# SZS output end CNFRefutation
