# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_quotients_u_2du_2du_3e(s(t_fun(X1,X2),X6),s(t_fun(t_bool,t_bool),X5),s(t_fun(X2,t_bool),X4)))))=s(t_bool,happ(s(t_fun(t_bool,t_bool),X5),s(t_bool,h4s_bools_in(s(X2,happ(s(t_fun(X1,X2),X6),s(X1,X3))),s(t_fun(X2,t_bool),X4))))),file('i/f/quotient/IN__FUN', ch4s_quotients_INu_u_FUN)).
fof(6, axiom,![X1]:![X3]:![X10]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X10)))=s(t_bool,happ(s(t_fun(X1,t_bool),X10),s(X1,X3))),file('i/f/quotient/IN__FUN', ah4s_bools_INu_u_DEF)).
fof(9, axiom,![X11]:![X2]:![X12]:![X1]:![X3]:![X13]:![X5]:![X6]:s(X11,happ(s(t_fun(X1,X11),h4s_quotients_u_2du_2du_3e(s(t_fun(X1,X12),X6),s(t_fun(X2,X11),X5),s(t_fun(X12,X2),X13))),s(X1,X3)))=s(X11,happ(s(t_fun(X2,X11),X5),s(X2,happ(s(t_fun(X12,X2),X13),s(X12,happ(s(t_fun(X1,X12),X6),s(X1,X3))))))),file('i/f/quotient/IN__FUN', ah4s_quotients_FUNu_u_MAPu_u_THM)).
# SZS output end CNFRefutation
