# 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]:(![X6]:![X7]:![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),X6))),s(t_fun(X1,t_bool),X7))),s(X1,X4))))<=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),X6),s(X1,X4))))|p(s(t_bool,happ(s(t_fun(X1,t_bool),X7),s(X1,X4))))))=>![X3]:![X7]:![X6]:(p(s(t_bool,h4s_bools_resu_u_exists(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),X6))),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),X6),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),X3)))))))))),file('i/f/res_quan/RES__DISJ__EXISTS__DIST', ch4s_resu_u_quans_RESu_u_DISJu_u_EXISTSu_u_DIST)).
fof(4, axiom,![X1]:![X12]:![X6]:(p(s(t_bool,h4s_bools_resu_u_exists(s(t_fun(X1,t_bool),X6),s(t_fun(X1,t_bool),X12))))<=>?[X8]:(p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X6))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X12),s(X1,X8)))))),file('i/f/res_quan/RES__DISJ__EXISTS__DIST', ah4s_resu_u_quans_RESu_u_EXISTS)).
fof(5, axiom,![X13]:![X14]:![X12]:![X15]:(![X8]:s(X14,happ(s(t_fun(X13,X14),X12),s(X13,X8)))=s(X14,happ(s(t_fun(X13,X14),X15),s(X13,X8)))=>s(t_fun(X13,X14),X12)=s(t_fun(X13,X14),X15)),file('i/f/res_quan/RES__DISJ__EXISTS__DIST', aHLu_EXT)).
fof(6, axiom,![X1]:![X8]:![X6]:s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X6)))=s(t_bool,happ(s(t_fun(X1,t_bool),X6),s(X1,X8))),file('i/f/res_quan/RES__DISJ__EXISTS__DIST', ah4s_predu_u_sets_SPECIFICATION)).
# SZS output end CNFRefutation
