# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(s(t_fun(X2,X1),X3)=s(t_fun(X2,X1),h4s_relations_wfrec(s(t_fun(X2,t_fun(X2,t_bool)),X4),s(t_fun(t_fun(X2,X1),t_fun(X2,X1)),X5)))=>(p(s(t_bool,h4s_relations_wf(s(t_fun(X2,t_fun(X2,t_bool)),X4))))=>![X6]:s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X6)))=s(X1,happ(s(t_fun(X2,X1),happ(s(t_fun(t_fun(X2,X1),t_fun(X2,X1)),X5),s(t_fun(X2,X1),h4s_relations_restrict(s(t_fun(X2,X1),X3),s(t_fun(X2,t_fun(X2,t_bool)),X4),s(X2,X6))))),s(X2,X6))))),file('i/f/relation/WFREC__COROLLARY', ch4s_relations_WFRECu_u_COROLLARY)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/relation/WFREC__COROLLARY', aHLu_TRUTH)).
fof(7, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/relation/WFREC__COROLLARY', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(8, axiom,![X1]:![X2]:![X4]:![X5]:(p(s(t_bool,h4s_relations_wf(s(t_fun(X2,t_fun(X2,t_bool)),X4))))=>![X6]:s(X1,happ(s(t_fun(X2,X1),h4s_relations_wfrec(s(t_fun(X2,t_fun(X2,t_bool)),X4),s(t_fun(t_fun(X2,X1),t_fun(X2,X1)),X5))),s(X2,X6)))=s(X1,happ(s(t_fun(X2,X1),happ(s(t_fun(t_fun(X2,X1),t_fun(X2,X1)),X5),s(t_fun(X2,X1),h4s_relations_restrict(s(t_fun(X2,X1),h4s_relations_wfrec(s(t_fun(X2,t_fun(X2,t_bool)),X4),s(t_fun(t_fun(X2,X1),t_fun(X2,X1)),X5))),s(t_fun(X2,t_fun(X2,t_bool)),X4),s(X2,X6))))),s(X2,X6)))),file('i/f/relation/WFREC__COROLLARY', ah4s_relations_WFRECu_u_THM)).
# SZS output end CNFRefutation
