# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_relations_wf(s(t_fun(X1,t_fun(X1,t_bool)),X2))))&![X4]:![X5]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X3),s(X1,X4))),s(X1,X5))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X4))),s(X1,X5))))))=>p(s(t_bool,h4s_relations_wf(s(t_fun(X1,t_fun(X1,t_bool)),X3))))),file('i/f/relation/WF__SUBSET', ch4s_relations_WFu_u_SUBSET)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/relation/WF__SUBSET', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/relation/WF__SUBSET', aHLu_FALSITY)).
fof(5, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/relation/WF__SUBSET', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(6, axiom,![X1]:![X2]:(p(s(t_bool,h4s_relations_wf(s(t_fun(X1,t_fun(X1,t_bool)),X2))))<=>![X7]:(?[X8]:p(s(t_bool,happ(s(t_fun(X1,t_bool),X7),s(X1,X8))))=>?[X9]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),X7),s(X1,X9))))&![X10]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X10))),s(X1,X9))))=>~(p(s(t_bool,happ(s(t_fun(X1,t_bool),X7),s(X1,X10))))))))),file('i/f/relation/WF__SUBSET', ah4s_relations_WFu_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/WF__SUBSET', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
