# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((?[X4]:p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X4))))&![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X4))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X4))))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,h4s_mins_u_40(s(t_fun(X1,t_bool),X3))))))),file('i/f/bool/SELECT__ELIM__THM', ch4s_bools_SELECTu_u_ELIMu_u_THM)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bool/SELECT__ELIM__THM', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/bool/SELECT__ELIM__THM', aHLu_FALSITY)).
fof(4, axiom,![X1]:![X4]:![X3]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X4))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,h4s_mins_u_40(s(t_fun(X1,t_bool),X3))))))),file('i/f/bool/SELECT__ELIM__THM', ah4s_bools_SELECTu_u_AX)).
fof(5, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/bool/SELECT__ELIM__THM', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
