# 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_bool,t_fun(X1,t_bool)),X2),s(t_bool,X3))),s(X1,X4)))=s(t_bool,X3)=>![X5]:![X3]:(p(s(t_bool,h4s_bools_resu_u_forall(s(t_fun(X1,t_bool),X5),s(t_fun(X1,t_bool),happ(s(t_fun(t_bool,t_fun(X1,t_bool)),X2),s(t_bool,X3))))))<=>(s(t_fun(X1,t_bool),X5)=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)|p(s(t_bool,X3))))),file('i/f/res_quan/RES__FORALL__NULL', ch4s_resu_u_quans_RESu_u_FORALLu_u_NULL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/res_quan/RES__FORALL__NULL', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/res_quan/RES__FORALL__NULL', aHLu_FALSITY)).
fof(16, axiom,![X8]:(s(t_bool,t)=s(t_bool,X8)<=>p(s(t_bool,X8))),file('i/f/res_quan/RES__FORALL__NULL', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(18, axiom,![X8]:(s(t_bool,f)=s(t_bool,X8)<=>~(p(s(t_bool,X8)))),file('i/f/res_quan/RES__FORALL__NULL', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(33, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)|s(t_bool,X8)=s(t_bool,f)),file('i/f/res_quan/RES__FORALL__NULL', aHLu_BOOLu_CASES)).
fof(36, axiom,![X1]:![X4]:~(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/res_quan/RES__FORALL__NULL', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(38, axiom,![X1]:![X8]:![X20]:(s(t_fun(X1,t_bool),X20)=s(t_fun(X1,t_bool),X8)<=>![X4]:s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X20)))=s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X8)))),file('i/f/res_quan/RES__FORALL__NULL', ah4s_predu_u_sets_EXTENSION)).
fof(39, axiom,![X1]:![X18]:![X9]:(p(s(t_bool,h4s_bools_resu_u_forall(s(t_fun(X1,t_bool),X9),s(t_fun(X1,t_bool),X18))))<=>![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X9))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X18),s(X1,X4)))))),file('i/f/res_quan/RES__FORALL__NULL', ah4s_resu_u_quans_RESu_u_FORALL)).
# SZS output end CNFRefutation
