# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(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)),h4s_relations_runion(s(t_fun(X1,t_fun(X2,t_bool)),X5),s(t_fun(X1,t_fun(X2,t_bool)),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)),X5))))))|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)))))))),file('i/f/relation/IN__RDOM__RUNION', ch4s_relations_INu_u_RDOMu_u_RUNION)).
fof(2, axiom,![X1]:![X3]:![X6]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X6)))=s(t_bool,happ(s(t_fun(X1,t_bool),X6),s(X1,X3))),file('i/f/relation/IN__RDOM__RUNION', ah4s_bools_INu_u_DEF)).
fof(3, axiom,![X1]:![X2]:![X3]:![X7]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),h4s_relations_rdom(s(t_fun(X1,t_fun(X2,t_bool)),X7))),s(X1,X3))))<=>?[X8]:p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),X7),s(X1,X3))),s(X2,X8))))),file('i/f/relation/IN__RDOM__RUNION', ah4s_relations_RDOMu_u_DEF)).
fof(6, axiom,![X1]:![X2]:![X8]:![X3]:![X4]:![X5]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),h4s_relations_runion(s(t_fun(X1,t_fun(X2,t_bool)),X5),s(t_fun(X1,t_fun(X2,t_bool)),X4))),s(X1,X3))),s(X2,X8))))<=>(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),X5),s(X1,X3))),s(X2,X8))))|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,X8)))))),file('i/f/relation/IN__RDOM__RUNION', ah4s_relations_RUNION0)).
# SZS output end CNFRefutation
