# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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/one__induction', ch4s_ones_oneu_u_induction)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/one/one__induction', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/one/one__induction', aHLu_FALSITY)).
fof(12, axiom,(p(s(t_bool,f))<=>![X6]:p(s(t_bool,X6))),file('i/f/one/one__induction', ah4s_bools_Fu_u_DEF)).
fof(27, axiom,![X6]:(s(t_bool,f)=s(t_bool,X6)<=>~(p(s(t_bool,X6)))),file('i/f/one/one__induction', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(72, axiom,![X24]:s(t_h4s_ones_one,X24)=s(t_h4s_ones_one,h4s_ones_one0),file('i/f/one/one__induction', ah4s_ones_one1)).
fof(77, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/one/one__induction', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
