# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(t_fun(X2,X1),X4),s(t_fun(X1,X2),X3))))=>![X6]:![X7]:![X8]:![X9]:((p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(X2,X8))),s(X2,X9))))&p(s(t_bool,h4s_lists_listu_u_rel(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(t_h4s_lists_list(X2),X6),s(t_h4s_lists_list(X2),X7)))))=>p(s(t_bool,h4s_lists_listu_u_rel(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(t_h4s_lists_list(X2),h4s_lists_cons(s(X2,X8),s(t_h4s_lists_list(X2),X6))),s(t_h4s_lists_list(X2),h4s_lists_cons(s(X2,X9),s(t_h4s_lists_list(X2),X7)))))))),file('i/f/quotient_list/CONS__RSP', ch4s_quotientu_u_lists_CONSu_u_RSP)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/quotient_list/CONS__RSP', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/quotient_list/CONS__RSP', aHLu_FALSITY)).
fof(9, axiom,![X2]:![X1]:![X11]:![X12]:![X13]:![X14]:![X5]:(p(s(t_bool,h4s_lists_listu_u_rel(s(t_fun(X2,t_fun(X1,t_bool)),X5),s(t_h4s_lists_list(X2),h4s_lists_cons(s(X2,X14),s(t_h4s_lists_list(X2),X13))),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X12),s(t_h4s_lists_list(X1),X11))))))<=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X2,t_fun(X1,t_bool)),X5),s(X2,X14))),s(X1,X12))))&p(s(t_bool,h4s_lists_listu_u_rel(s(t_fun(X2,t_fun(X1,t_bool)),X5),s(t_h4s_lists_list(X2),X13),s(t_h4s_lists_list(X1),X11)))))),file('i/f/quotient_list/CONS__RSP', ah4s_lists_LISTu_u_RELu_u_defu_c3)).
fof(10, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)|s(t_bool,X10)=s(t_bool,f)),file('i/f/quotient_list/CONS__RSP', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
