# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(![X5]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X5))))=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,X5))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X5))))))=>(p(s(t_bool,h4s_bools_resu_u_forall(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X4))))=>p(s(t_bool,h4s_bools_resu_u_forall(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3)))))),file('i/f/quotient/RES__FORALL__REGULAR', ch4s_quotients_RESu_u_FORALLu_u_REGULAR)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/quotient/RES__FORALL__REGULAR', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/quotient/RES__FORALL__REGULAR', aHLu_FALSITY)).
fof(4, axiom,![X1]:![X6]:![X4]:(p(s(t_bool,h4s_bools_resu_u_forall(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X6))))<=>![X5]:(p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X4))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X6),s(X1,X5)))))),file('i/f/quotient/RES__FORALL__REGULAR', ah4s_resu_u_quans_RESu_u_FORALL)).
fof(5, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/quotient/RES__FORALL__REGULAR', aHLu_BOOLu_CASES)).
fof(9, axiom,![X1]:![X5]:![X4]:s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X4)))=s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,X5))),file('i/f/quotient/RES__FORALL__REGULAR', ah4s_predu_u_sets_SPECIFICATION)).
# SZS output end CNFRefutation
