# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(![X3]:![X4]:s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X2),s(t_fun(X1,t_bool),X3))),s(X1,X4)))=s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X4)))=>![X5]:(![X3]:![X6]:![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool))),X5),s(t_fun(X1,t_bool),X3))),s(t_fun(X1,t_bool),X6))),s(X1,X4))))<=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X4))))|p(s(t_bool,happ(s(t_fun(X1,t_bool),X6),s(X1,X4))))))=>![X6]:![X3]:![X7]:(p(s(t_bool,h4s_bools_resu_u_exists(s(t_fun(X1,t_bool),X7),s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool))),X5),s(t_fun(X1,t_bool),X3))),s(t_fun(X1,t_bool),X6))))))<=>(p(s(t_bool,h4s_bools_resu_u_exists(s(t_fun(X1,t_bool),X7),s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X2),s(t_fun(X1,t_bool),X3))))))|p(s(t_bool,h4s_bools_resu_u_exists(s(t_fun(X1,t_bool),X7),s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X2),s(t_fun(X1,t_bool),X6)))))))))),file('i/f/res_quan/RES__EXISTS__DISJ__DIST', ch4s_resu_u_quans_RESu_u_EXISTSu_u_DISJu_u_DIST)).
fof(4, axiom,![X1]:![X13]:![X7]:(p(s(t_bool,h4s_bools_resu_u_exists(s(t_fun(X1,t_bool),X7),s(t_fun(X1,t_bool),X13))))<=>?[X14]:(p(s(t_bool,h4s_bools_in(s(X1,X14),s(t_fun(X1,t_bool),X7))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X13),s(X1,X14)))))),file('i/f/res_quan/RES__EXISTS__DISJ__DIST', ah4s_resu_u_quans_RESu_u_EXISTS)).
fof(5, axiom,![X15]:![X16]:![X13]:![X17]:(![X14]:s(X16,happ(s(t_fun(X15,X16),X13),s(X15,X14)))=s(X16,happ(s(t_fun(X15,X16),X17),s(X15,X14)))=>s(t_fun(X15,X16),X13)=s(t_fun(X15,X16),X17)),file('i/f/res_quan/RES__EXISTS__DISJ__DIST', aHLu_EXT)).
fof(7, axiom,![X1]:![X14]:![X7]:s(t_bool,h4s_bools_in(s(X1,X14),s(t_fun(X1,t_bool),X7)))=s(t_bool,happ(s(t_fun(X1,t_bool),X7),s(X1,X14))),file('i/f/res_quan/RES__EXISTS__DISJ__DIST', ah4s_predu_u_sets_SPECIFICATION)).
# SZS output end CNFRefutation
