# 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(X5,t_fun(X5,t_bool)),X9),s(t_fun(X5,X1),X8),s(t_fun(X1,X5),X7))))=>![X10]:![X11]:![X12]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X6,t_fun(X6,t_bool)),X10),s(t_fun(X6,X2),X11),s(t_fun(X2,X6),X12))))=>![X13]:![X14]:![X15]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X4,t_fun(X4,t_bool)),X13),s(t_fun(X4,X3),X14),s(t_fun(X3,X4),X15))))=>![X16]:![X17]:![X18]:![X19]:((p(s(t_bool,h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X6,t_fun(X6,t_bool)),X10),s(t_fun(X4,t_fun(X4,t_bool)),X13),s(t_fun(X6,X4),X16),s(t_fun(X6,X4),X17))))&p(s(t_bool,h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X5,t_fun(X5,t_bool)),X9),s(t_fun(X6,t_fun(X6,t_bool)),X10),s(t_fun(X5,X6),X18),s(t_fun(X5,X6),X19)))))=>p(s(t_bool,h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X5,t_fun(X5,t_bool)),X9),s(t_fun(X4,t_fun(X4,t_bool)),X13),s(t_fun(X5,X4),h4s_combins_o(s(t_fun(X6,X4),X16),s(t_fun(X5,X6),X18))),s(t_fun(X5,X4),h4s_combins_o(s(t_fun(X6,X4),X17),s(t_fun(X5,X6),X19)))))))))),file('i/f/quotient/o__RSP', ch4s_quotients_ou_u_RSP)).
fof(2, axiom,![X6]:![X5]:![X20]:![X21]:![X10]:![X9]:(p(s(t_bool,h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X5,t_fun(X5,t_bool)),X9),s(t_fun(X6,t_fun(X6,t_bool)),X10),s(t_fun(X5,X6),X21),s(t_fun(X5,X6),X20))))<=>![X22]:![X23]:(p(s(t_bool,happ(s(t_fun(X5,t_bool),happ(s(t_fun(X5,t_fun(X5,t_bool)),X9),s(X5,X22))),s(X5,X23))))=>p(s(t_bool,happ(s(t_fun(X6,t_bool),happ(s(t_fun(X6,t_fun(X6,t_bool)),X10),s(X6,happ(s(t_fun(X5,X6),X21),s(X5,X22))))),s(X6,happ(s(t_fun(X5,X6),X20),s(X5,X23)))))))),file('i/f/quotient/o__RSP', ah4s_quotients_FUNu_u_REL)).
fof(3, axiom,![X6]:![X5]:![X4]:![X22]:![X20]:![X21]:s(X6,happ(s(t_fun(X4,X6),h4s_combins_o(s(t_fun(X5,X6),X21),s(t_fun(X4,X5),X20))),s(X4,X22)))=s(X6,happ(s(t_fun(X5,X6),X21),s(X5,happ(s(t_fun(X4,X5),X20),s(X4,X22))))),file('i/f/quotient/o__RSP', ah4s_combins_ou_u_THM)).
# SZS output end CNFRefutation
