# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(![X3]:s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X3)))=s(t_bool,t)=>![X4]:s(t_bool,h4s_bools_resu_u_forall(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X2)))=s(t_bool,t)),file('i/f/bool/RES__FORALL__TRUE', ch4s_bools_RESu_u_FORALLu_u_TRUE)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bool/RES__FORALL__TRUE', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/bool/RES__FORALL__TRUE', aHLu_FALSITY)).
fof(4, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/bool/RES__FORALL__TRUE', aHLu_BOOLu_CASES)).
fof(7, axiom,(p(s(t_bool,f))<=>![X5]:p(s(t_bool,X5))),file('i/f/bool/RES__FORALL__TRUE', ah4s_bools_Fu_u_DEF)).
fof(10, axiom,![X1]:![X8]:![X4]:(p(s(t_bool,h4s_bools_resu_u_forall(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X8))))<=>![X3]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X4))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X8),s(X1,X3)))))),file('i/f/bool/RES__FORALL__TRUE', ah4s_bools_RESu_u_FORALLu_u_THM)).
# SZS output end CNFRefutation
