# 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(X4,t_fun(X4,t_bool)),X7),s(t_fun(X4,X1),X6),s(t_fun(X1,X4),X5))))=>![X8]:![X9]:![X10]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X3,t_fun(X3,t_bool)),X8),s(t_fun(X3,X2),X9),s(t_fun(X2,X3),X10))))=>![X11]:![X12]:![X13]:![X14]:((p(s(t_bool,happ(s(t_fun(t_fun(X4,t_fun(X4,X3)),t_bool),happ(s(t_fun(t_fun(X4,t_fun(X4,X3)),t_fun(t_fun(X4,t_fun(X4,X3)),t_bool)),h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X4,t_fun(X4,t_bool)),X7),s(t_fun(t_fun(X4,X3),t_fun(t_fun(X4,X3),t_bool)),h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X4,t_fun(X4,t_bool)),X7),s(t_fun(X3,t_fun(X3,t_bool)),X8))))),s(t_fun(X4,t_fun(X4,X3)),X11))),s(t_fun(X4,t_fun(X4,X3)),X12))))&p(s(t_bool,happ(s(t_fun(X4,t_bool),happ(s(t_fun(X4,t_fun(X4,t_bool)),X7),s(X4,X13))),s(X4,X14)))))=>p(s(t_bool,happ(s(t_fun(X3,t_bool),happ(s(t_fun(X3,t_fun(X3,t_bool)),X8),s(X3,h4s_combins_w(s(t_fun(X4,t_fun(X4,X3)),X11),s(X4,X13))))),s(X3,h4s_combins_w(s(t_fun(X4,t_fun(X4,X3)),X12),s(X4,X14))))))))),file('i/f/quotient/W__RSP', ch4s_quotients_Wu_u_RSP)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/quotient/W__RSP', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/quotient/W__RSP', aHLu_FALSITY)).
fof(4, axiom,![X3]:![X4]:![X15]:![X16]:![X8]:![X7]:(p(s(t_bool,happ(s(t_fun(t_fun(X4,X3),t_bool),happ(s(t_fun(t_fun(X4,X3),t_fun(t_fun(X4,X3),t_bool)),h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X4,t_fun(X4,t_bool)),X7),s(t_fun(X3,t_fun(X3,t_bool)),X8))),s(t_fun(X4,X3),X16))),s(t_fun(X4,X3),X15))))<=>![X17]:![X18]:(p(s(t_bool,happ(s(t_fun(X4,t_bool),happ(s(t_fun(X4,t_fun(X4,t_bool)),X7),s(X4,X17))),s(X4,X18))))=>p(s(t_bool,happ(s(t_fun(X3,t_bool),happ(s(t_fun(X3,t_fun(X3,t_bool)),X8),s(X3,happ(s(t_fun(X4,X3),X16),s(X4,X17))))),s(X3,happ(s(t_fun(X4,X3),X15),s(X4,X18)))))))),file('i/f/quotient/W__RSP', ah4s_quotients_FUNu_u_REL)).
fof(5, axiom,![X19]:(s(t_bool,X19)=s(t_bool,t)|s(t_bool,X19)=s(t_bool,f)),file('i/f/quotient/W__RSP', aHLu_BOOLu_CASES)).
fof(7, axiom,![X3]:![X4]:![X17]:![X16]:s(X3,h4s_combins_w(s(t_fun(X4,t_fun(X4,X3)),X16),s(X4,X17)))=s(X3,happ(s(t_fun(X4,X3),happ(s(t_fun(X4,t_fun(X4,X3)),X16),s(X4,X17))),s(X4,X17))),file('i/f/quotient/W__RSP', ah4s_combins_Wu_u_THM)).
# SZS output end CNFRefutation
