# 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_bools_itself(X1),t_bool),X2),s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))=>![X3]:p(s(t_bool,happ(s(t_fun(t_h4s_bools_itself(X1),t_bool),X2),s(t_h4s_bools_itself(X1),X3))))),file('i/f/bool/itself__induction', ch4s_bools_itselfu_u_induction)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bool/itself__induction', aHLu_TRUTH)).
fof(5, axiom,![X8]:(s(t_bool,t)=s(t_bool,X8)<=>p(s(t_bool,X8))),file('i/f/bool/itself__induction', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(73, axiom,![X1]:![X3]:s(t_h4s_bools_itself(X1),X3)=s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value),file('i/f/bool/itself__induction', ah4s_bools_ITSELFu_u_UNIQUE)).
fof(75, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)|s(t_bool,X8)=s(t_bool,f)),file('i/f/bool/itself__induction', aHLu_BOOLu_CASES)).
fof(81, axiom,~(s(t_bool,t)=s(t_bool,f)),file('i/f/bool/itself__induction', ah4s_bools_BOOLu_u_EQu_u_DISTINCTu_c0)).
# SZS output end CNFRefutation
