# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:(p(s(t_bool,h4s_quotients_equiv(s(t_fun(X1,t_fun(X1,t_bool)),X6))))=>((p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X6),s(X1,X5))),s(X1,X4))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X6),s(X1,X3))),s(X1,X2)))))=>(s(X1,X5)=s(X1,X3)=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X6),s(X1,X4))),s(X1,X2))))))),file('i/f/quotient/EQUALS__EQUIV__IMPLIES', ch4s_quotients_EQUALSu_u_EQUIVu_u_IMPLIES)).
fof(54, axiom,![X1]:![X33]:(p(s(t_bool,h4s_quotients_equiv(s(t_fun(X1,t_fun(X1,t_bool)),X33))))<=>![X15]:![X21]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X33),s(X1,X15))),s(X1,X21))))<=>s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X33),s(X1,X15)))=s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X33),s(X1,X21))))),file('i/f/quotient/EQUALS__EQUIV__IMPLIES', ah4s_quotients_EQUIVu_u_def)).
# SZS output end CNFRefutation
