# 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,X4),X8),s(t_fun(X4,X3),X7))))=>![X10]:![X11]:![X12]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X5,t_fun(X5,t_bool)),X10),s(t_fun(X5,X6),X11),s(t_fun(X6,X5),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]:![X18]:s(X2,h4s_pairs_curry(s(t_fun(t_h4s_pairs_prod(X4,X6),X2),X16),s(X4,X17),s(X6,X18)))=s(X2,happ(s(t_fun(X1,X2),X14),s(X1,h4s_pairs_curry(s(t_fun(t_h4s_pairs_prod(X3,X5),X1),h4s_quotients_u_2du_2du_3e(s(t_fun(t_h4s_pairs_prod(X3,X5),t_h4s_pairs_prod(X4,X6)),h4s_pairs_u_23u_23(s(t_fun(X3,X4),X8),s(t_fun(X5,X6),X11))),s(t_fun(X2,X1),X15),s(t_fun(t_h4s_pairs_prod(X4,X6),X2),X16))),s(X3,happ(s(t_fun(X4,X3),X7),s(X4,X17))),s(X5,happ(s(t_fun(X6,X5),X12),s(X6,X18)))))))))),file('i/f/quotient_pair/CURRY__PRS', ch4s_quotientu_u_pairs_CURRYu_u_PRS)).
fof(3, axiom,![X1]:![X3]:![X5]:![X23]:![X22]:![X16]:s(X1,h4s_pairs_curry(s(t_fun(t_h4s_pairs_prod(X3,X5),X1),X16),s(X3,X22),s(X5,X23)))=s(X1,happ(s(t_fun(t_h4s_pairs_prod(X3,X5),X1),X16),s(t_h4s_pairs_prod(X3,X5),h4s_pairs_u_2c(s(X3,X22),s(X5,X23))))),file('i/f/quotient_pair/CURRY__PRS', ah4s_pairs_CURRYu_u_DEF)).
fof(4, axiom,![X4]:![X5]:![X1]:![X3]:![X22]:![X24]:![X21]:![X16]:s(X4,happ(s(t_fun(X3,X4),h4s_quotients_u_2du_2du_3e(s(t_fun(X3,X1),X16),s(t_fun(X5,X4),X21),s(t_fun(X1,X5),X24))),s(X3,X22)))=s(X4,happ(s(t_fun(X5,X4),X21),s(X5,happ(s(t_fun(X1,X5),X24),s(X1,happ(s(t_fun(X3,X1),X16),s(X3,X22))))))),file('i/f/quotient_pair/CURRY__PRS', ah4s_quotients_FUNu_u_MAPu_u_THM)).
fof(5, axiom,![X5]:![X3]:![X4]:![X1]:![X23]:![X22]:![X21]:![X16]:s(t_h4s_pairs_prod(X5,X4),happ(s(t_fun(t_h4s_pairs_prod(X3,X1),t_h4s_pairs_prod(X5,X4)),h4s_pairs_u_23u_23(s(t_fun(X3,X5),X16),s(t_fun(X1,X4),X21))),s(t_h4s_pairs_prod(X3,X1),h4s_pairs_u_2c(s(X3,X22),s(X1,X23)))))=s(t_h4s_pairs_prod(X5,X4),h4s_pairs_u_2c(s(X5,happ(s(t_fun(X3,X5),X16),s(X3,X22))),s(X4,happ(s(t_fun(X1,X4),X21),s(X1,X23))))),file('i/f/quotient_pair/CURRY__PRS', ah4s_pairs_PAIRu_u_MAPu_u_THM)).
fof(9, axiom,![X3]:![X5]:![X25]:![X26]:![X27]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X3,t_fun(X3,t_bool)),X27),s(t_fun(X3,X5),X26),s(t_fun(X5,X3),X25))))=>![X17]:s(X5,happ(s(t_fun(X3,X5),X26),s(X3,happ(s(t_fun(X5,X3),X25),s(X5,X17)))))=s(X5,X17)),file('i/f/quotient_pair/CURRY__PRS', ah4s_quotients_QUOTIENTu_u_ABSu_u_REP)).
# SZS output end CNFRefutation
