# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:p(s(t_bool,happ(s(t_fun(t_h4s_ones_one,t_bool),X1),s(t_h4s_ones_one,X2))))<=>p(s(t_bool,happ(s(t_fun(t_h4s_ones_one,t_bool),X1),s(t_h4s_ones_one,h4s_ones_one0))))),file('i/f/one/FORALL__ONE', ch4s_ones_FORALLu_u_ONE)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/one/FORALL__ONE', aHLu_TRUTH)).
fof(7, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/one/FORALL__ONE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(13, axiom,![X1]:(p(s(t_bool,happ(s(t_fun(t_h4s_ones_one,t_bool),X1),s(t_h4s_ones_one,h4s_ones_one0))))=>![X2]:p(s(t_bool,happ(s(t_fun(t_h4s_ones_one,t_bool),X1),s(t_h4s_ones_one,X2))))),file('i/f/one/FORALL__ONE', ah4s_ones_oneu_u_induction)).
fof(14, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/one/FORALL__ONE', aHLu_BOOLu_CASES)).
fof(15, axiom,~(p(s(t_bool,f))),file('i/f/one/FORALL__ONE', aHLu_FALSITY)).
# SZS output end CNFRefutation
