# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,h4s_posets_poset(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(X1,t_fun(X1,t_bool))),h4s_pairs_u_2c(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_fun(X1,t_bool)),X4))))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X2)))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X2))),s(X1,X2))))),file('i/f/poset/poset__refl', ch4s_posets_posetu_u_refl)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/poset/poset__refl', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/poset/poset__refl', aHLu_FALSITY)).
fof(6, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/poset/poset__refl', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(9, axiom,![X1]:![X3]:![X4]:(p(s(t_bool,h4s_posets_poset(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(X1,t_fun(X1,t_bool))),h4s_pairs_u_2c(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_fun(X1,t_bool)),X4))))))<=>(?[X2]:p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X2))))&(![X2]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X2))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X2))),s(X1,X2)))))&(![X2]:![X10]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X2))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X10))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X2))),s(X1,X10))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X10))),s(X1,X2)))))))=>s(X1,X2)=s(X1,X10))&![X2]:![X10]:![X12]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X2))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X10))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X12))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X2))),s(X1,X10))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X10))),s(X1,X12))))))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X2))),s(X1,X12))))))))),file('i/f/poset/poset__refl', ah4s_posets_posetu_u_def)).
fof(12, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/poset/poset__refl', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
