# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_relations_rdom(s(t_fun(X1,t_fun(X2,t_bool)),X4))))))<=>?[X5]:p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),X4),s(X1,X3))),s(X2,X5))))),file('i/f/relation/IN__RDOM', ch4s_relations_INu_u_RDOM)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/relation/IN__RDOM', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/relation/IN__RDOM', aHLu_FALSITY)).
fof(6, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),h4s_relations_rdom(s(t_fun(X1,t_fun(X2,t_bool)),X4))),s(X1,X3))))<=>?[X5]:p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),X4),s(X1,X3))),s(X2,X5))))),file('i/f/relation/IN__RDOM', ah4s_relations_RDOMu_u_DEF)).
fof(7, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/relation/IN__RDOM', aHLu_BOOLu_CASES)).
fof(9, axiom,![X1]:![X3]:![X11]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X11)))=s(t_bool,happ(s(t_fun(X1,t_bool),X11),s(X1,X3))),file('i/f/relation/IN__RDOM', ah4s_bools_INu_u_DEF)).
# SZS output end CNFRefutation
