# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X1,t_fun(X1,t_bool)),X7),s(t_fun(X1,X2),X6),s(t_fun(X2,X1),X5))))=>![X8]:![X9]:![X10]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X3,t_fun(X3,t_bool)),X8),s(t_fun(X3,X4),X9),s(t_fun(X4,X3),X10))))=>![X11]:![X12]:s(t_h4s_pairs_prod(X2,X4),h4s_pairs_u_2c(s(X2,X11),s(X4,X12)))=s(t_h4s_pairs_prod(X2,X4),h4s_pairs_u_23u_23(s(t_fun(X1,X2),X6),s(t_fun(X3,X4),X9),s(t_h4s_pairs_prod(X1,X3),h4s_pairs_u_2c(s(X1,happ(s(t_fun(X2,X1),X5),s(X2,X11))),s(X3,happ(s(t_fun(X4,X3),X10),s(X4,X12))))))))),file('i/f/quotient_pair/COMMA__PRS', ch4s_quotientu_u_pairs_COMMAu_u_PRS)).
fof(2, axiom,![X3]:![X1]:![X4]:![X2]:![X13]:![X14]:![X15]:![X16]:s(t_h4s_pairs_prod(X3,X4),h4s_pairs_u_23u_23(s(t_fun(X1,X3),X16),s(t_fun(X2,X4),X15),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X14),s(X2,X13)))))=s(t_h4s_pairs_prod(X3,X4),h4s_pairs_u_2c(s(X3,happ(s(t_fun(X1,X3),X16),s(X1,X14))),s(X4,happ(s(t_fun(X2,X4),X15),s(X2,X13))))),file('i/f/quotient_pair/COMMA__PRS', ah4s_pairs_PAIRu_u_MAPu_u_THM)).
fof(7, axiom,![X1]:![X3]:![X19]:![X20]:![X21]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X1,t_fun(X1,t_bool)),X21),s(t_fun(X1,X3),X20),s(t_fun(X3,X1),X19))))=>![X11]:s(X3,happ(s(t_fun(X1,X3),X20),s(X1,happ(s(t_fun(X3,X1),X19),s(X3,X11)))))=s(X3,X11)),file('i/f/quotient_pair/COMMA__PRS', ah4s_quotients_QUOTIENTu_u_ABSu_u_REP)).
# SZS output end CNFRefutation
