# 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,p(s(t_bool,t)),file('i/f/bool/RES__FORALL__CONG', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/bool/RES__FORALL__CONG', aHLu_FALSITY)).
fof(4, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f0)),file('i/f/bool/RES__FORALL__CONG', aHLu_BOOLu_CASES)).
fof(6, axiom,![X1]:![X6]:![X10]:(p(s(t_bool,h4s_bools_resu_u_forall(s(t_fun(X1,t_bool),X6),s(t_fun(X1,t_bool),X10))))<=>![X11]:(p(s(t_bool,h4s_bools_in(s(X1,X11),s(t_fun(X1,t_bool),X6))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X10),s(X1,X11)))))),file('i/f/bool/RES__FORALL__CONG', ah4s_bools_RESu_u_FORALLu_u_DEF)).
fof(7, axiom,![X12]:![X13]:((p(s(t_bool,X13))=>p(s(t_bool,X12)))=>((p(s(t_bool,X12))=>p(s(t_bool,X13)))=>s(t_bool,X13)=s(t_bool,X12))),file('i/f/bool/RES__FORALL__CONG', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
# SZS output end CNFRefutation
