# 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(X1,t_fun(X1,t_bool)),X7),s(t_fun(X1,X3),X6),s(t_fun(X3,X1),X5))))=>![X8]:![X9]:![X10]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X2,t_fun(X2,t_bool)),X8),s(t_fun(X2,X4),X9),s(t_fun(X4,X2),X10))))=>![X11]:s(X3,h4s_pairs_fst(s(t_h4s_pairs_prod(X3,X4),X11)))=s(X3,happ(s(t_fun(X1,X3),X6),s(X1,h4s_pairs_fst(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_23u_23(s(t_fun(X3,X1),X5),s(t_fun(X4,X2),X10),s(t_h4s_pairs_prod(X3,X4),X11))))))))),file('i/f/quotient_pair/FST__PRS', ch4s_quotientu_u_pairs_FSTu_u_PRS)).
fof(3, axiom,![X2]:![X1]:![X17]:![X16]:s(X1,h4s_pairs_fst(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X16),s(X2,X17)))))=s(X1,X16),file('i/f/quotient_pair/FST__PRS', ah4s_pairs_FST0)).
fof(4, axiom,![X2]:![X1]:![X4]:![X3]:![X17]:![X16]:![X15]:![X14]:s(t_h4s_pairs_prod(X2,X4),h4s_pairs_u_23u_23(s(t_fun(X1,X2),X14),s(t_fun(X3,X4),X15),s(t_h4s_pairs_prod(X1,X3),h4s_pairs_u_2c(s(X1,X16),s(X3,X17)))))=s(t_h4s_pairs_prod(X2,X4),h4s_pairs_u_2c(s(X2,happ(s(t_fun(X1,X2),X14),s(X1,X16))),s(X4,happ(s(t_fun(X3,X4),X15),s(X3,X17))))),file('i/f/quotient_pair/FST__PRS', ah4s_pairs_PAIRu_u_MAPu_u_THM)).
fof(5, axiom,![X1]:![X2]:![X16]:?[X18]:?[X19]:s(t_h4s_pairs_prod(X1,X2),X16)=s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X18),s(X2,X19))),file('i/f/quotient_pair/FST__PRS', ah4s_pairs_ABSu_u_PAIRu_u_THM)).
fof(9, axiom,![X1]:![X2]:![X20]:![X21]:![X22]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X1,t_fun(X1,t_bool)),X22),s(t_fun(X1,X2),X21),s(t_fun(X2,X1),X20))))=>![X23]:s(X2,happ(s(t_fun(X1,X2),X21),s(X1,happ(s(t_fun(X2,X1),X20),s(X2,X23)))))=s(X2,X23)),file('i/f/quotient_pair/FST__PRS', ah4s_quotients_QUOTIENTu_u_ABSu_u_REP)).
# SZS output end CNFRefutation
