# 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(X6,t_fun(X6,t_bool)),X9),s(t_fun(X6,X1),X8),s(t_fun(X1,X6),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,X2),X11),s(t_fun(X2,X5),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]:![X20]:![X21]:((p(s(t_bool,happ(s(t_fun(t_fun(X6,t_fun(X5,X4)),t_bool),happ(s(t_fun(t_fun(X6,t_fun(X5,X4)),t_fun(t_fun(X6,t_fun(X5,X4)),t_bool)),h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X6,t_fun(X6,t_bool)),X9),s(t_fun(t_fun(X5,X4),t_fun(t_fun(X5,X4),t_bool)),h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X5,t_fun(X5,t_bool)),X10),s(t_fun(X4,t_fun(X4,t_bool)),X13))))),s(t_fun(X6,t_fun(X5,X4)),X16))),s(t_fun(X6,t_fun(X5,X4)),X17))))&(p(s(t_bool,happ(s(t_fun(X5,t_bool),happ(s(t_fun(X5,t_fun(X5,t_bool)),X10),s(X5,X18))),s(X5,X19))))&p(s(t_bool,happ(s(t_fun(X6,t_bool),happ(s(t_fun(X6,t_fun(X6,t_bool)),X9),s(X6,X20))),s(X6,X21))))))=>p(s(t_bool,happ(s(t_fun(X4,t_bool),happ(s(t_fun(X4,t_fun(X4,t_bool)),X13),s(X4,h4s_combins_c(s(t_fun(X6,t_fun(X5,X4)),X16),s(X5,X18),s(X6,X20))))),s(X4,h4s_combins_c(s(t_fun(X6,t_fun(X5,X4)),X17),s(X5,X19),s(X6,X21)))))))))),file('i/f/quotient/C__RSP', ch4s_quotients_Cu_u_RSP)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/quotient/C__RSP', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/quotient/C__RSP', aHLu_FALSITY)).
fof(4, axiom,![X5]:![X6]:![X22]:![X23]:![X10]:![X9]:(p(s(t_bool,happ(s(t_fun(t_fun(X6,X5),t_bool),happ(s(t_fun(t_fun(X6,X5),t_fun(t_fun(X6,X5),t_bool)),h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X6,t_fun(X6,t_bool)),X9),s(t_fun(X5,t_fun(X5,t_bool)),X10))),s(t_fun(X6,X5),X23))),s(t_fun(X6,X5),X22))))<=>![X24]:![X25]:(p(s(t_bool,happ(s(t_fun(X6,t_bool),happ(s(t_fun(X6,t_fun(X6,t_bool)),X9),s(X6,X24))),s(X6,X25))))=>p(s(t_bool,happ(s(t_fun(X5,t_bool),happ(s(t_fun(X5,t_fun(X5,t_bool)),X10),s(X5,happ(s(t_fun(X6,X5),X23),s(X6,X24))))),s(X5,happ(s(t_fun(X6,X5),X22),s(X6,X25)))))))),file('i/f/quotient/C__RSP', ah4s_quotients_FUNu_u_REL)).
fof(5, axiom,![X26]:(s(t_bool,X26)=s(t_bool,t)|s(t_bool,X26)=s(t_bool,f)),file('i/f/quotient/C__RSP', aHLu_BOOLu_CASES)).
fof(7, axiom,![X4]:![X6]:![X5]:![X25]:![X24]:![X23]:s(X4,h4s_combins_c(s(t_fun(X6,t_fun(X5,X4)),X23),s(X5,X24),s(X6,X25)))=s(X4,happ(s(t_fun(X5,X4),happ(s(t_fun(X6,t_fun(X5,X4)),X23),s(X6,X25))),s(X5,X24))),file('i/f/quotient/C__RSP', ah4s_combins_Cu_u_THM)).
# SZS output end CNFRefutation
