# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_bools_resu_u_exists(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))<=>?[X4]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X3))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X4)))))),file('i/f/res_quan/RES__EXISTS', ch4s_resu_u_quans_RESu_u_EXISTS)).
fof(2, axiom,~(p(s(t_bool,f0))),file('i/f/res_quan/RES__EXISTS', aHLu_FALSITY)).
fof(53, axiom,![X1]:![X4]:![X24]:s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X24)))=s(t_bool,happ(s(t_fun(X1,t_bool),X24),s(X1,X4))),file('i/f/res_quan/RES__EXISTS', ah4s_bools_INu_u_DEF)).
fof(58, axiom,![X1]:![X4]:![X26]:(p(s(t_bool,h4s_bools_resu_u_exists(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X26))))<=>?[X24]:(p(s(t_bool,h4s_bools_in(s(X1,X24),s(t_fun(X1,t_bool),X4))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X26),s(X1,X24)))))),file('i/f/res_quan/RES__EXISTS', ah4s_bools_RESu_u_EXISTSu_u_DEF)).
fof(59, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_bools_resu_u_exists(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))<=>?[X4]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X3))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X4)))))),file('i/f/res_quan/RES__EXISTS', ah4s_bools_RESu_u_EXISTSu_u_THM)).
fof(65, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f0)),file('i/f/res_quan/RES__EXISTS', aHLu_BOOLu_CASES)).
fof(80, axiom,p(s(t_bool,t)),file('i/f/res_quan/RES__EXISTS', aHLu_TRUTH)).
# SZS output end CNFRefutation
