# 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]:s(t_h4s_lists_list(X2),happ(s(t_fun(t_h4s_lists_list(t_h4s_lists_list(X2)),t_h4s_lists_list(X2)),h4s_lists_flat),s(t_h4s_lists_list(t_h4s_lists_list(X2)),X6)))=s(t_h4s_lists_list(X2),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X2)),h4s_lists_map(s(t_fun(X1,X2),X4))),s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(t_h4s_lists_list(X1)),t_h4s_lists_list(X1)),h4s_lists_flat),s(t_h4s_lists_list(t_h4s_lists_list(X1)),happ(s(t_fun(t_h4s_lists_list(t_h4s_lists_list(X2)),t_h4s_lists_list(t_h4s_lists_list(X1))),h4s_lists_map(s(t_fun(t_h4s_lists_list(X2),t_h4s_lists_list(X1)),h4s_lists_map(s(t_fun(X2,X1),X3))))),s(t_h4s_lists_list(t_h4s_lists_list(X2)),X6)))))))),file('i/f/quotient_list/FLAT__PRS', ch4s_quotientu_u_lists_FLATu_u_PRS)).
fof(7, 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))))<=>(![X13]:s(X2,happ(s(t_fun(X1,X2),X4),s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X13)))))=s(X2,X13)&(![X13]: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,X13))))),s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X13))))))&![X16]:![X17]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(X1,X16))),s(X1,X17))))<=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(X1,X16))),s(X1,X16))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(X1,X17))),s(X1,X17))))&s(X2,happ(s(t_fun(X1,X2),X4),s(X1,X16)))=s(X2,happ(s(t_fun(X1,X2),X4),s(X1,X17))))))))),file('i/f/quotient_list/FLAT__PRS', ah4s_quotients_QUOTIENTu_u_def)).
fof(27, axiom,![X2]:![X1]:![X6]:![X9]:s(t_h4s_lists_list(X2),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X2)),h4s_lists_map(s(t_fun(X1,X2),X9))),s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(t_h4s_lists_list(X1)),t_h4s_lists_list(X1)),h4s_lists_flat),s(t_h4s_lists_list(t_h4s_lists_list(X1)),X6)))))=s(t_h4s_lists_list(X2),happ(s(t_fun(t_h4s_lists_list(t_h4s_lists_list(X2)),t_h4s_lists_list(X2)),h4s_lists_flat),s(t_h4s_lists_list(t_h4s_lists_list(X2)),happ(s(t_fun(t_h4s_lists_list(t_h4s_lists_list(X1)),t_h4s_lists_list(t_h4s_lists_list(X2))),h4s_lists_map(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X2)),h4s_lists_map(s(t_fun(X1,X2),X9))))),s(t_h4s_lists_list(t_h4s_lists_list(X1)),X6))))),file('i/f/quotient_list/FLAT__PRS', ah4s_richu_u_lists_MAPu_u_FLAT)).
fof(42, 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))))=>p(s(t_bool,h4s_quotients_quotient(s(t_fun(t_h4s_lists_list(X1),t_fun(t_h4s_lists_list(X1),t_bool)),h4s_lists_listu_u_rel(s(t_fun(X1,t_fun(X1,t_bool)),X5))),s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X2)),h4s_lists_map(s(t_fun(X1,X2),X4))),s(t_fun(t_h4s_lists_list(X2),t_h4s_lists_list(X1)),h4s_lists_map(s(t_fun(X2,X1),X3))))))),file('i/f/quotient_list/FLAT__PRS', ah4s_quotientu_u_lists_LISTu_u_QUOTIENT)).
# SZS output end CNFRefutation
