# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(![X4]:![X5]:((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),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X4))),s(X1,X5)))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X5)))))=>![X4]:![X5]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X4))))&p(s(t_bool,h4s_relations_rc(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X4),s(X1,X5)))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X5)))))),file('i/f/relation/RC__lifts__invariants', ch4s_relations_RCu_u_liftsu_u_invariants)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/relation/RC__lifts__invariants', aHLu_FALSITY)).
fof(22, axiom,![X1]:![X5]:![X4]:![X2]:(p(s(t_bool,h4s_relations_rc(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X4),s(X1,X5))))<=>(s(X1,X4)=s(X1,X5)|p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X4))),s(X1,X5)))))),file('i/f/relation/RC__lifts__invariants', ah4s_relations_RCu_u_DEF)).
fof(23, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/relation/RC__lifts__invariants', aHLu_BOOLu_CASES)).
fof(24, axiom,p(s(t_bool,t)),file('i/f/relation/RC__lifts__invariants', aHLu_TRUTH)).
fof(26, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/relation/RC__lifts__invariants', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
