# 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(X3,t_fun(X3,t_bool)),X7),s(t_fun(X3,X1),X6),s(t_fun(X1,X3),X5))))=>![X8]:![X9]:![X10]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X4,t_fun(X4,t_bool)),X8),s(t_fun(X4,X2),X9),s(t_fun(X2,X4),X10))))=>![X11]:![X12]:![X13]:![X14]:((p(s(t_bool,happ(s(t_fun(X3,t_bool),happ(s(t_fun(X3,t_fun(X3,t_bool)),X7),s(X3,X11))),s(X3,X13))))&p(s(t_bool,happ(s(t_fun(X4,t_bool),happ(s(t_fun(X4,t_fun(X4,t_bool)),X8),s(X4,X12))),s(X4,X14)))))=>p(s(t_bool,h4s_quotientu_u_pairs_u_23u_23u_23(s(t_fun(X3,t_fun(X3,t_bool)),X7),s(t_fun(X4,t_fun(X4,t_bool)),X8),s(t_h4s_pairs_prod(X3,X4),h4s_pairs_u_2c(s(X3,X11),s(X4,X12))),s(t_h4s_pairs_prod(X3,X4),h4s_pairs_u_2c(s(X3,X13),s(X4,X14))))))))),file('i/f/quotient_pair/COMMA__RSP', ch4s_quotientu_u_pairs_COMMAu_u_RSP)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/quotient_pair/COMMA__RSP', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/quotient_pair/COMMA__RSP', aHLu_FALSITY)).
fof(6, axiom,![X3]:![X1]:![X4]:![X2]:![X16]:![X17]:![X18]:![X19]:![X8]:![X7]:(p(s(t_bool,h4s_quotientu_u_pairs_u_23u_23u_23(s(t_fun(X3,t_fun(X1,t_bool)),X7),s(t_fun(X4,t_fun(X2,t_bool)),X8),s(t_h4s_pairs_prod(X3,X4),h4s_pairs_u_2c(s(X3,X19),s(X4,X18))),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X17),s(X2,X16))))))<=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X3,t_fun(X1,t_bool)),X7),s(X3,X19))),s(X1,X17))))&p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X4,t_fun(X2,t_bool)),X8),s(X4,X18))),s(X2,X16)))))),file('i/f/quotient_pair/COMMA__RSP', ah4s_quotientu_u_pairs_PAIRu_u_RELu_u_THM)).
fof(7, axiom,![X15]:(s(t_bool,X15)=s(t_bool,t)|s(t_bool,X15)=s(t_bool,f)),file('i/f/quotient_pair/COMMA__RSP', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
