# 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,X6))),s(X2,X7))))&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)))))=>s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(X2,X6))),s(X2,X8)))=s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(X2,X7))),s(X2,X9))))),file('i/f/quotient/EQUALS__RSP', ch4s_quotients_EQUALSu_u_RSP)).
fof(3, axiom,![X15]:![X16]:((p(s(t_bool,X16))=>p(s(t_bool,X15)))=>((p(s(t_bool,X15))=>p(s(t_bool,X16)))=>s(t_bool,X16)=s(t_bool,X15))),file('i/f/quotient/EQUALS__RSP', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(4, axiom,![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))))=>![X14]:![X17]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(X2,X14))),s(X2,X17))))=>p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(X2,X17))),s(X2,X14)))))),file('i/f/quotient/EQUALS__RSP', ah4s_quotients_QUOTIENTu_u_SYM)).
fof(5, axiom,![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))))=>![X14]:![X17]:![X18]:((p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(X2,X14))),s(X2,X17))))&p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(X2,X17))),s(X2,X18)))))=>p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(X2,X14))),s(X2,X18)))))),file('i/f/quotient/EQUALS__RSP', ah4s_quotients_QUOTIENTu_u_TRANS)).
# SZS output end CNFRefutation
