# 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))),happ(s(t_fun(t_fun(X1,t_fun(X1,t_bool)),t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(X1,t_fun(X1,t_bool)))),happ(s(t_fun(t_fun(X1,t_bool),t_fun(t_fun(X1,t_fun(X1,t_bool)),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,f))),file('i/f/poset/poset__refl', aHLu_FALSITY)).
fof(5, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/poset/poset__refl', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(33, axiom,![X1]:![X21]:![X22]:(![X2]:(s(X1,X2)=s(X1,X21)=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X22),s(X1,X2)))))<=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X22),s(X1,X21))))),file('i/f/poset/poset__refl', ah4s_bools_UNWINDu_u_FORALLu_u_THM2)).
fof(36, axiom,(p(s(t_bool,f))<=>![X11]:p(s(t_bool,X11))),file('i/f/poset/poset__refl', ah4s_bools_Fu_u_DEF)).
fof(48, 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))),happ(s(t_fun(t_fun(X1,t_fun(X1,t_bool)),t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(X1,t_fun(X1,t_bool)))),happ(s(t_fun(t_fun(X1,t_bool),t_fun(t_fun(X1,t_fun(X1,t_bool)),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]:![X9]:((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,X9))))&(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,X9))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X9))),s(X1,X2)))))))=>s(X1,X2)=s(X1,X9))&![X2]:![X9]:![X31]:((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,X9))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X31))))&(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,X9))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X9))),s(X1,X31))))))))=>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,X31))))))))),file('i/f/poset/poset__refl', ah4s_posets_posetu_u_def)).
fof(54, axiom,p(s(t_bool,t)),file('i/f/poset/poset__refl', aHLu_TRUTH)).
fof(56, axiom,![X11]:(s(t_bool,X11)=s(t_bool,t)<=>p(s(t_bool,X11))),file('i/f/poset/poset__refl', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
