# 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]:(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,X6))),s(X2,happ(s(t_fun(X1,X2),X3),s(X1,happ(s(t_fun(X2,X1),X4),s(X2,X7)))))))))),file('i/f/quotient/REP__ABS__RSP', ch4s_quotients_REPu_u_ABSu_u_RSP)).
fof(3, axiom,![X2]:![X1]:![X3]:![X4]:![X13]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X2,t_fun(X2,t_bool)),X13),s(t_fun(X2,X1),X4),s(t_fun(X1,X2),X3))))=>![X14]:s(X1,happ(s(t_fun(X2,X1),X4),s(X2,happ(s(t_fun(X1,X2),X3),s(X1,X14)))))=s(X1,X14)),file('i/f/quotient/REP__ABS__RSP', ah4s_quotients_QUOTIENTu_u_ABSu_u_REP)).
fof(4, axiom,![X2]:![X1]:![X3]:![X4]:![X13]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X2,t_fun(X2,t_bool)),X13),s(t_fun(X2,X1),X4),s(t_fun(X1,X2),X3))))=>![X14]:p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X13),s(X2,happ(s(t_fun(X1,X2),X3),s(X1,X14))))),s(X2,happ(s(t_fun(X1,X2),X3),s(X1,X14))))))),file('i/f/quotient/REP__ABS__RSP', ah4s_quotients_QUOTIENTu_u_REPu_u_REFL)).
fof(5, axiom,![X1]:![X2]:![X3]:![X4]:![X13]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X2,t_fun(X2,t_bool)),X13),s(t_fun(X2,X1),X4),s(t_fun(X1,X2),X3))))=>![X15]:![X16]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X13),s(X2,X15))),s(X2,X16))))<=>(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X13),s(X2,X15))),s(X2,X15))))&(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X13),s(X2,X16))),s(X2,X16))))&s(X1,happ(s(t_fun(X2,X1),X4),s(X2,X15)))=s(X1,happ(s(t_fun(X2,X1),X4),s(X2,X16))))))),file('i/f/quotient/REP__ABS__RSP', ah4s_quotients_QUOTIENTu_u_REL)).
# SZS output end CNFRefutation
