# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,happ(s(t_fun(t_fun(X1,t_fun(X1,t_bool)),t_bool),happ(s(t_fun(t_fun(X1,t_fun(X1,t_bool)),t_fun(t_fun(X1,t_fun(X1,t_bool)),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(41, axiom,![X1]:![X9]:![X7]: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,X7))),s(X1,X9)))=s(t_bool,f),file('i/f/relation/REMPTY__SUBSET_c1', ah4s_relations_EMPTYu_u_RELu_u_DEF)).
fof(42, axiom,![X1]:![X2]:p(s(t_bool,happ(s(t_fun(t_fun(X1,t_fun(X1,t_bool)),t_bool),happ(s(t_fun(t_fun(X1,t_fun(X1,t_bool)),t_fun(t_fun(X1,t_fun(X1,t_bool)),t_bool)),h4s_relations_rsubset),s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_emptyu_u_rel))),s(t_fun(X1,t_fun(X1,t_bool)),X2)))),file('i/f/relation/REMPTY__SUBSET_c1', ah4s_relations_REMPTYu_u_SUBSETu_c0)).
fof(52, axiom,![X1]:![X20]:![X29]:![X30]:(p(s(t_bool,happ(s(t_fun(t_fun(X1,t_fun(X20,t_bool)),t_bool),happ(s(t_fun(t_fun(X1,t_fun(X20,t_bool)),t_fun(t_fun(X1,t_fun(X20,t_bool)),t_bool)),h4s_relations_rsubset),s(t_fun(X1,t_fun(X20,t_bool)),X30))),s(t_fun(X1,t_fun(X20,t_bool)),X29))))<=>![X7]:![X9]:(p(s(t_bool,happ(s(t_fun(X20,t_bool),happ(s(t_fun(X1,t_fun(X20,t_bool)),X30),s(X1,X7))),s(X20,X9))))=>p(s(t_bool,happ(s(t_fun(X20,t_bool),happ(s(t_fun(X1,t_fun(X20,t_bool)),X29),s(X1,X7))),s(X20,X9)))))),file('i/f/relation/REMPTY__SUBSET_c1', ah4s_relations_RSUBSET0)).
fof(53, axiom,![X1]:![X20]:![X29]:![X30]:((p(s(t_bool,happ(s(t_fun(t_fun(X1,t_fun(X20,t_bool)),t_bool),happ(s(t_fun(t_fun(X1,t_fun(X20,t_bool)),t_fun(t_fun(X1,t_fun(X20,t_bool)),t_bool)),h4s_relations_rsubset),s(t_fun(X1,t_fun(X20,t_bool)),X30))),s(t_fun(X1,t_fun(X20,t_bool)),X29))))&p(s(t_bool,happ(s(t_fun(t_fun(X1,t_fun(X20,t_bool)),t_bool),happ(s(t_fun(t_fun(X1,t_fun(X20,t_bool)),t_fun(t_fun(X1,t_fun(X20,t_bool)),t_bool)),h4s_relations_rsubset),s(t_fun(X1,t_fun(X20,t_bool)),X29))),s(t_fun(X1,t_fun(X20,t_bool)),X30)))))=>s(t_fun(X1,t_fun(X20,t_bool)),X30)=s(t_fun(X1,t_fun(X20,t_bool)),X29)),file('i/f/relation/REMPTY__SUBSET_c1', ah4s_relations_RSUBSETu_u_ANTISYM)).
fof(62, axiom,~(p(s(t_bool,f))),file('i/f/relation/REMPTY__SUBSET_c1', aHLu_FALSITY)).
# SZS output end CNFRefutation
