# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(![X3]:![X4]:s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X2),s(t_fun(X1,t_bool),X3))),s(X1,X4)))=s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X4)))=>![X3]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,h4s_mins_u_40(s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X2),s(t_fun(X1,t_bool),X3))))))))<=>?[X4]:p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X4)))))),file('i/f/bool/SELECT__THM', ch4s_bools_SELECTu_u_THM)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bool/SELECT__THM', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/bool/SELECT__THM', aHLu_FALSITY)).
fof(4, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/bool/SELECT__THM', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(5, axiom,(p(s(t_bool,f))<=>![X7]:p(s(t_bool,X7))),file('i/f/bool/SELECT__THM', ah4s_bools_Fu_u_DEF)).
fof(15, axiom,![X7]:(s(t_bool,t)=s(t_bool,X7)<=>p(s(t_bool,X7))),file('i/f/bool/SELECT__THM', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(16, axiom,![X7]:(s(t_bool,f)=s(t_bool,X7)<=>~(p(s(t_bool,X7)))),file('i/f/bool/SELECT__THM', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(61, axiom,~(s(t_bool,t)=s(t_bool,f)),file('i/f/bool/SELECT__THM', ah4s_bools_BOOLu_u_EQu_u_DISTINCTu_c0)).
fof(67, axiom,![X1]:![X4]:s(t_bool,d_exists(s(t_fun(X1,t_bool),X4)))=s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,h4s_mins_u_40(s(t_fun(X1,t_bool),X4))))),file('i/f/bool/SELECT__THM', ah4s_bools_EXISTSu_u_DEF)).
fof(75, axiom,![X1]:![X11]:(p(s(t_bool,d_exists(s(t_fun(X1,t_bool),X11))))<=>?[X4]:p(s(t_bool,happ(s(t_fun(X1,t_bool),X11),s(X1,X4))))),file('i/f/bool/SELECT__THM', ah4s_bools_EXISTSu_u_THM)).
# SZS output end CNFRefutation
