# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_relations_wf(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_emptyu_u_rel)))),file('i/f/relation/WF__EMPTY__REL', ch4s_relations_WFu_u_EMPTYu_u_REL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/relation/WF__EMPTY__REL', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/relation/WF__EMPTY__REL', aHLu_FALSITY)).
fof(9, axiom,![X1]:![X4]:(p(s(t_bool,h4s_relations_wf(s(t_fun(X1,t_fun(X1,t_bool)),X4))))<=>![X5]:(?[X6]:p(s(t_bool,happ(s(t_fun(X1,t_bool),X5),s(X1,X6))))=>?[X7]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),X5),s(X1,X7))))&![X8]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X8))),s(X1,X7))))=>~(p(s(t_bool,happ(s(t_fun(X1,t_bool),X5),s(X1,X8))))))))),file('i/f/relation/WF__EMPTY__REL', ah4s_relations_WFu_u_DEF)).
fof(10, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/relation/WF__EMPTY__REL', aHLu_BOOLu_CASES)).
fof(12, axiom,![X1]:![X13]:![X3]:s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_emptyu_u_rel),s(X1,X3))),s(X1,X13)))=s(t_bool,f),file('i/f/relation/WF__EMPTY__REL', ah4s_relations_EMPTYu_u_RELu_u_DEF)).
# SZS output end CNFRefutation
