# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:![X8]:((p(s(t_bool,h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X2,t_fun(X2,t_bool)),X8),s(t_fun(X1,t_fun(X1,t_bool)),X7),s(t_fun(X2,X1),X6),s(t_fun(X2,X1),X5))))&p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X8),s(X2,X4))),s(X2,X3)))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X7),s(X1,happ(s(t_fun(X2,X1),X6),s(X2,X4))))),s(X1,happ(s(t_fun(X2,X1),X5),s(X2,X3))))))),file('i/f/quotient/FUN__REL__IMP0', ch4s_quotients_FUNu_u_RELu_u_IMP0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/quotient/FUN__REL__IMP0', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/quotient/FUN__REL__IMP0', aHLu_FALSITY)).
fof(4, axiom,![X1]:![X2]:![X5]:![X6]:![X7]:![X8]:(p(s(t_bool,h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X2,t_fun(X2,t_bool)),X8),s(t_fun(X1,t_fun(X1,t_bool)),X7),s(t_fun(X2,X1),X6),s(t_fun(X2,X1),X5))))<=>![X4]:![X3]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X8),s(X2,X4))),s(X2,X3))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X7),s(X1,happ(s(t_fun(X2,X1),X6),s(X2,X4))))),s(X1,happ(s(t_fun(X2,X1),X5),s(X2,X3)))))))),file('i/f/quotient/FUN__REL__IMP0', ah4s_quotients_FUNu_u_REL)).
fof(5, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)|s(t_bool,X9)=s(t_bool,f0)),file('i/f/quotient/FUN__REL__IMP0', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
