# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(s(t_fun(X1,t_bool),X5)=s(t_fun(X1,t_bool),X4)=>(![X6]:(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X4))))=>s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X6)))=s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X6))))=>s(t_bool,h4s_bools_resu_u_forall(s(t_fun(X1,t_bool),X5),s(t_fun(X1,t_bool),X3)))=s(t_bool,h4s_bools_resu_u_forall(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X2))))),file('i/f/bool/RES__FORALL__CONG', ch4s_bools_RESu_u_FORALLu_u_CONG)).
fof(2, axiom,![X7]:![X8]:((p(s(t_bool,X8))=>p(s(t_bool,X7)))=>((p(s(t_bool,X7))=>p(s(t_bool,X8)))=>s(t_bool,X8)=s(t_bool,X7))),file('i/f/bool/RES__FORALL__CONG', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(39, axiom,![X1]:![X6]:![X21]:(p(s(t_bool,h4s_bools_resu_u_forall(s(t_fun(X1,t_bool),X6),s(t_fun(X1,t_bool),X21))))<=>![X22]:(p(s(t_bool,h4s_bools_in(s(X1,X22),s(t_fun(X1,t_bool),X6))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X21),s(X1,X22)))))),file('i/f/bool/RES__FORALL__CONG', ah4s_bools_RESu_u_FORALLu_u_DEF)).
# SZS output end CNFRefutation
