# 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(45, axiom,![X2]:![X1]:![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))))<=>(![X26]:s(X2,happ(s(t_fun(X1,X2),X4),s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X26)))))=s(X2,X26)&(![X26]: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,X26))))),s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X26))))))&![X11]:![X27]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(X1,X11))),s(X1,X27))))<=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(X1,X11))),s(X1,X11))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(X1,X27))),s(X1,X27))))&s(X2,happ(s(t_fun(X1,X2),X4),s(X1,X11)))=s(X2,happ(s(t_fun(X1,X2),X4),s(X1,X27))))))))),file('i/f/quotient/EQUALS__PRS', ah4s_quotients_QUOTIENTu_u_def)).
fof(47, 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))))=>![X26]:![X28]:(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,X26))))),s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X28))))))<=>s(X2,X26)=s(X2,X28))),file('i/f/quotient/EQUALS__PRS', ah4s_quotients_QUOTIENTu_u_RELu_u_REP)).
# SZS output end CNFRefutation
