# 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),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X3))),s(X1,X4))))<=>s(X1,X4)=s(X1,X3))=>![X3]:s(X1,h4s_mins_u_40(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X3)))))=s(X1,X3)),file('i/f/bool/SELECT__REFL', ch4s_bools_SELECTu_u_REFL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bool/SELECT__REFL', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/bool/SELECT__REFL', aHLu_FALSITY)).
fof(4, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/bool/SELECT__REFL', aHLu_BOOLu_CASES)).
fof(6, axiom,![X1]:![X3]:![X10]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),X10),s(X1,X3))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X10),s(X1,h4s_mins_u_40(s(t_fun(X1,t_bool),X10))))))),file('i/f/bool/SELECT__REFL', ah4s_bools_SELECTu_u_AX)).
# SZS output end CNFRefutation
