# 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,X6),X8),s(t_fun(X6,X5),X7))))=>![X10]:![X11]:![X12]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X3,t_fun(X3,t_bool)),X10),s(t_fun(X3,X4),X11),s(t_fun(X4,X3),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_combins_c(s(t_fun(X6,t_fun(X4,X2)),X16),s(X4,X17),s(X6,X18)))=s(X2,happ(s(t_fun(X1,X2),X14),s(X1,h4s_combins_c(s(t_fun(X5,t_fun(X3,X1)),happ(s(t_fun(t_fun(X6,t_fun(X4,X2)),t_fun(X5,t_fun(X3,X1))),h4s_quotients_u_2du_2du_3e(s(t_fun(X5,X6),X8),s(t_fun(t_fun(X4,X2),t_fun(X3,X1)),h4s_quotients_u_2du_2du_3e(s(t_fun(X3,X4),X11),s(t_fun(X2,X1),X15))))),s(t_fun(X6,t_fun(X4,X2)),X16))),s(X3,happ(s(t_fun(X4,X3),X12),s(X4,X17))),s(X5,happ(s(t_fun(X6,X5),X7),s(X6,X18)))))))))),file('i/f/quotient/C__PRS', ch4s_quotients_Cu_u_PRS)).
fof(8, axiom,![X1]:![X5]:![X3]:![X18]:![X17]:![X16]:s(X1,h4s_combins_c(s(t_fun(X5,t_fun(X3,X1)),X16),s(X3,X17),s(X5,X18)))=s(X1,happ(s(t_fun(X3,X1),happ(s(t_fun(X5,t_fun(X3,X1)),X16),s(X5,X18))),s(X3,X17))),file('i/f/quotient/C__PRS', ah4s_combins_Cu_u_THM)).
fof(9, axiom,![X5]:![X3]:![X23]:![X24]:![X25]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X5,t_fun(X5,t_bool)),X25),s(t_fun(X5,X3),X24),s(t_fun(X3,X5),X23))))=>![X26]:s(X3,happ(s(t_fun(X5,X3),X24),s(X5,happ(s(t_fun(X3,X5),X23),s(X3,X26)))))=s(X3,X26)),file('i/f/quotient/C__PRS', ah4s_quotients_QUOTIENTu_u_ABSu_u_REP)).
fof(10, axiom,![X6]:![X3]:![X1]:![X5]:![X17]:![X27]:![X22]:![X16]:s(X6,happ(s(t_fun(X5,X6),happ(s(t_fun(t_fun(X1,X3),t_fun(X5,X6)),h4s_quotients_u_2du_2du_3e(s(t_fun(X5,X1),X16),s(t_fun(X3,X6),X22))),s(t_fun(X1,X3),X27))),s(X5,X17)))=s(X6,happ(s(t_fun(X3,X6),X22),s(X3,happ(s(t_fun(X1,X3),X27),s(X1,happ(s(t_fun(X5,X1),X16),s(X5,X17))))))),file('i/f/quotient/C__PRS', ah4s_quotients_FUNu_u_MAPu_u_THM)).
# SZS output end CNFRefutation
