# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_relations_rsubset(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_emptyu_u_rel))))<=>s(t_fun(X1,t_fun(X1,t_bool)),X2)=s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_emptyu_u_rel)),file('i/f/relation/REMPTY__SUBSET_c1', ch4s_relations_REMPTYu_u_SUBSETu_c1)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/relation/REMPTY__SUBSET_c1', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/relation/REMPTY__SUBSET_c1', aHLu_FALSITY)).
fof(4, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/relation/REMPTY__SUBSET_c1', aHLu_BOOLu_CASES)).
fof(5, axiom,![X4]:![X5]:![X6]:![X7]:(![X8]:s(X5,happ(s(t_fun(X4,X5),X6),s(X4,X8)))=s(X5,happ(s(t_fun(X4,X5),X7),s(X4,X8)))=>s(t_fun(X4,X5),X6)=s(t_fun(X4,X5),X7)),file('i/f/relation/REMPTY__SUBSET_c1', aHLu_EXT)).
fof(11, axiom,![X3]:(s(t_bool,f)=s(t_bool,X3)<=>~(p(s(t_bool,X3)))),file('i/f/relation/REMPTY__SUBSET_c1', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(14, axiom,![X1]:![X9]:![X8]:s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_emptyu_u_rel),s(X1,X8))),s(X1,X9)))=s(t_bool,f),file('i/f/relation/REMPTY__SUBSET_c1', ah4s_relations_EMPTYu_u_RELu_u_DEF)).
fof(15, axiom,![X1]:![X10]:![X16]:![X17]:(p(s(t_bool,h4s_relations_rsubset(s(t_fun(X1,t_fun(X10,t_bool)),X17),s(t_fun(X1,t_fun(X10,t_bool)),X16))))<=>![X8]:![X9]:(p(s(t_bool,happ(s(t_fun(X10,t_bool),happ(s(t_fun(X1,t_fun(X10,t_bool)),X17),s(X1,X8))),s(X10,X9))))=>p(s(t_bool,happ(s(t_fun(X10,t_bool),happ(s(t_fun(X1,t_fun(X10,t_bool)),X16),s(X1,X8))),s(X10,X9)))))),file('i/f/relation/REMPTY__SUBSET_c1', ah4s_relations_RSUBSET0)).
# SZS output end CNFRefutation
