# 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),happ(s(t_fun(X1,t_fun(X1,t_bool)),X3),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)),X3),s(X1,happ(s(t_fun(X1,X1),X2),s(X1,X4))))),s(X1,happ(s(t_fun(X1,X1),X2),s(X1,X5)))))))=>![X4]:![X5]:(p(s(t_bool,h4s_relations_sc(s(t_fun(X1,t_fun(X1,t_bool)),X3),s(X1,X4),s(X1,X5))))=>p(s(t_bool,h4s_relations_sc(s(t_fun(X1,t_fun(X1,t_bool)),X3),s(X1,happ(s(t_fun(X1,X1),X2),s(X1,X4))),s(X1,happ(s(t_fun(X1,X1),X2),s(X1,X5)))))))),file('i/f/relation/SC__lifts__monotonicities', ch4s_relations_SCu_u_liftsu_u_monotonicities)).
fof(2, axiom,~(p(s(t_bool,f0))),file('i/f/relation/SC__lifts__monotonicities', aHLu_FALSITY)).
fof(18, axiom,![X1]:![X5]:![X4]:![X3]:(p(s(t_bool,h4s_relations_sc(s(t_fun(X1,t_fun(X1,t_bool)),X3),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)),X3),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)),X3),s(X1,X5))),s(X1,X4)))))),file('i/f/relation/SC__lifts__monotonicities', ah4s_relations_SCu_u_DEF)).
fof(20, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f0)),file('i/f/relation/SC__lifts__monotonicities', aHLu_BOOLu_CASES)).
fof(21, axiom,p(s(t_bool,t)),file('i/f/relation/SC__lifts__monotonicities', aHLu_TRUTH)).
fof(23, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/relation/SC__lifts__monotonicities', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
