# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:![X8]:![X9]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X3,t_fun(X3,t_bool)),X9),s(t_fun(X3,X5),X8),s(t_fun(X5,X3),X7))))=>![X10]:![X11]:![X12]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X4,t_fun(X4,t_bool)),X10),s(t_fun(X4,X6),X11),s(t_fun(X6,X4),X12))))=>![X13]:![X14]:![X15]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X1,t_fun(X1,t_bool)),X13),s(t_fun(X1,X2),X14),s(t_fun(X2,X1),X15))))=>![X16]:![X17]:s(X2,h4s_pairs_uncurry(s(t_fun(X5,t_fun(X6,X2)),X16),s(t_h4s_pairs_prod(X5,X6),X17)))=s(X2,happ(s(t_fun(X1,X2),X14),s(X1,h4s_pairs_uncurry(s(t_fun(X3,t_fun(X4,X1)),happ(s(t_fun(t_fun(X5,t_fun(X6,X2)),t_fun(X3,t_fun(X4,X1))),h4s_quotients_u_2du_2du_3e(s(t_fun(X3,X5),X8),s(t_fun(t_fun(X6,X2),t_fun(X4,X1)),h4s_quotients_u_2du_2du_3e(s(t_fun(X4,X6),X11),s(t_fun(X2,X1),X15))))),s(t_fun(X5,t_fun(X6,X2)),X16))),s(t_h4s_pairs_prod(X3,X4),h4s_pairs_u_23u_23(s(t_fun(X5,X3),X7),s(t_fun(X6,X4),X12),s(t_h4s_pairs_prod(X5,X6),X17)))))))))),file('i/f/quotient_pair/UNCURRY__PRS', ch4s_quotientu_u_pairs_UNCURRYu_u_PRS)).
fof(3, axiom,![X1]:![X3]:![X4]:![X22]:![X21]:![X16]:s(X1,h4s_pairs_uncurry(s(t_fun(X3,t_fun(X4,X1)),X16),s(t_h4s_pairs_prod(X3,X4),h4s_pairs_u_2c(s(X3,X21),s(X4,X22)))))=s(X1,happ(s(t_fun(X4,X1),happ(s(t_fun(X3,t_fun(X4,X1)),X16),s(X3,X21))),s(X4,X22))),file('i/f/quotient_pair/UNCURRY__PRS', ah4s_pairs_UNCURRYu_u_DEF)).
fof(4, axiom,![X4]:![X3]:![X5]:![X1]:![X22]:![X21]:![X20]:![X16]:s(t_h4s_pairs_prod(X4,X5),h4s_pairs_u_23u_23(s(t_fun(X3,X4),X16),s(t_fun(X1,X5),X20),s(t_h4s_pairs_prod(X3,X1),h4s_pairs_u_2c(s(X3,X21),s(X1,X22)))))=s(t_h4s_pairs_prod(X4,X5),h4s_pairs_u_2c(s(X4,happ(s(t_fun(X3,X4),X16),s(X3,X21))),s(X5,happ(s(t_fun(X1,X5),X20),s(X1,X22))))),file('i/f/quotient_pair/UNCURRY__PRS', ah4s_pairs_PAIRu_u_MAPu_u_THM)).
fof(5, axiom,![X3]:![X4]:![X21]:?[X23]:?[X24]:s(t_h4s_pairs_prod(X3,X4),X21)=s(t_h4s_pairs_prod(X3,X4),h4s_pairs_u_2c(s(X3,X23),s(X4,X24))),file('i/f/quotient_pair/UNCURRY__PRS', ah4s_pairs_ABSu_u_PAIRu_u_THM)).
fof(6, axiom,![X5]:![X4]:![X1]:![X3]:![X21]:![X25]:![X20]:![X16]:s(X5,happ(s(t_fun(X3,X5),happ(s(t_fun(t_fun(X1,X4),t_fun(X3,X5)),h4s_quotients_u_2du_2du_3e(s(t_fun(X3,X1),X16),s(t_fun(X4,X5),X20))),s(t_fun(X1,X4),X25))),s(X3,X21)))=s(X5,happ(s(t_fun(X4,X5),X20),s(X4,happ(s(t_fun(X1,X4),X25),s(X1,happ(s(t_fun(X3,X1),X16),s(X3,X21))))))),file('i/f/quotient_pair/UNCURRY__PRS', ah4s_quotients_FUNu_u_MAPu_u_THM)).
fof(10, axiom,![X3]:![X4]:![X26]:![X27]:![X28]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X3,t_fun(X3,t_bool)),X28),s(t_fun(X3,X4),X27),s(t_fun(X4,X3),X26))))=>![X29]:s(X4,happ(s(t_fun(X3,X4),X27),s(X3,happ(s(t_fun(X4,X3),X26),s(X4,X29)))))=s(X4,X29)),file('i/f/quotient_pair/UNCURRY__PRS', ah4s_quotients_QUOTIENTu_u_ABSu_u_REP)).
# SZS output end CNFRefutation
