# 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]:((p(s(t_bool,h4s_quotients_respects(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),X11))))&(p(s(t_bool,h4s_quotients_respects(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),X12))))&s(t_fun(X1,X2),h4s_quotients_u_2du_2du_3e(s(t_fun(X1,X4),X5),s(t_fun(X3,X2),X9),s(t_fun(X4,X3),X11)))=s(t_fun(X1,X2),h4s_quotients_u_2du_2du_3e(s(t_fun(X1,X4),X5),s(t_fun(X3,X2),X9),s(t_fun(X4,X3),X12)))))=>![X13]:![X14]:(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,happ(s(t_fun(X4,X3),X11),s(X4,X13))))),s(X3,happ(s(t_fun(X4,X3),X12),s(X4,X14)))))))))),file('i/f/quotient/FUN__REL__IMP', ch4s_quotients_FUNu_u_RELu_u_IMP)).
fof(3, axiom,![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]:((p(s(t_bool,h4s_quotients_respects(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),X11))))&p(s(t_bool,h4s_quotients_respects(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),X12)))))=>(s(t_fun(X1,X2),h4s_quotients_u_2du_2du_3e(s(t_fun(X1,X4),X5),s(t_fun(X3,X2),X9),s(t_fun(X4,X3),X11)))=s(t_fun(X1,X2),h4s_quotients_u_2du_2du_3e(s(t_fun(X1,X4),X5),s(t_fun(X3,X2),X9),s(t_fun(X4,X3),X12)))<=>![X13]:![X14]:(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,happ(s(t_fun(X4,X3),X11),s(X4,X13))))),s(X3,happ(s(t_fun(X4,X3),X12),s(X4,X14))))))))))),file('i/f/quotient/FUN__REL__IMP', ah4s_quotients_FUNu_u_RELu_u_EQUALS)).
# SZS output end CNFRefutation
