# 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(X1,t_fun(X1,t_bool)),X5),s(t_fun(X1,X2),X4),s(t_fun(X2,X1),X3))))=>![X6]:![X7]:(s(X2,X6)=s(X2,X7)<=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X6))))),s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X7)))))))),file('i/f/quotient/EQUALS__PRS', ch4s_quotients_EQUALSu_u_PRS)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/quotient/EQUALS__PRS', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/quotient/EQUALS__PRS', aHLu_FALSITY)).
fof(6, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(t_fun(X1,X2),X4),s(t_fun(X2,X1),X3))))=>![X8]:![X9]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X8))))),s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X9))))))<=>s(X2,X8)=s(X2,X9))),file('i/f/quotient/EQUALS__PRS', ah4s_quotients_QUOTIENTu_u_RELu_u_REP)).
fof(7, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)|s(t_bool,X10)=s(t_bool,f)),file('i/f/quotient/EQUALS__PRS', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
