# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(s(t_fun(X1,t_fun(X2,t_bool)),X4)=s(t_fun(X1,t_fun(X2,t_bool)),X3)<=>(p(s(t_bool,happ(s(t_fun(t_fun(X1,t_fun(X2,t_bool)),t_bool),happ(s(t_fun(t_fun(X1,t_fun(X2,t_bool)),t_fun(t_fun(X1,t_fun(X2,t_bool)),t_bool)),h4s_relations_rsubset),s(t_fun(X1,t_fun(X2,t_bool)),X4))),s(t_fun(X1,t_fun(X2,t_bool)),X3))))&p(s(t_bool,happ(s(t_fun(t_fun(X1,t_fun(X2,t_bool)),t_bool),happ(s(t_fun(t_fun(X1,t_fun(X2,t_bool)),t_fun(t_fun(X1,t_fun(X2,t_bool)),t_bool)),h4s_relations_rsubset),s(t_fun(X1,t_fun(X2,t_bool)),X3))),s(t_fun(X1,t_fun(X2,t_bool)),X4)))))),file('i/f/relation/EqIsBothRSUBSET', ch4s_relations_EqIsBothRSUBSET)).
fof(55, axiom,![X1]:![X2]:![X27]:![X28]:(p(s(t_bool,happ(s(t_fun(t_fun(X1,t_fun(X2,t_bool)),t_bool),happ(s(t_fun(t_fun(X1,t_fun(X2,t_bool)),t_fun(t_fun(X1,t_fun(X2,t_bool)),t_bool)),h4s_relations_rsubset),s(t_fun(X1,t_fun(X2,t_bool)),X28))),s(t_fun(X1,t_fun(X2,t_bool)),X27))))<=>![X15]:![X4]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),X28),s(X1,X15))),s(X2,X4))))=>p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),X27),s(X1,X15))),s(X2,X4)))))),file('i/f/relation/EqIsBothRSUBSET', ah4s_relations_RSUBSET0)).
fof(58, axiom,![X1]:![X2]:p(s(t_bool,h4s_relations_antisymmetric(s(t_fun(t_fun(X1,t_fun(X2,t_bool)),t_fun(t_fun(X1,t_fun(X2,t_bool)),t_bool)),h4s_relations_rsubset)))),file('i/f/relation/EqIsBothRSUBSET', ah4s_relations_RSUBSETu_u_antisymmetric)).
fof(79, axiom,![X1]:![X29]:(p(s(t_bool,h4s_relations_antisymmetric(s(t_fun(X1,t_fun(X1,t_bool)),X29))))<=>![X15]:![X4]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X29),s(X1,X15))),s(X1,X4))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X29),s(X1,X4))),s(X1,X15)))))=>s(X1,X15)=s(X1,X4))),file('i/f/relation/EqIsBothRSUBSET', ah4s_relations_antisymmetricu_u_def)).
# SZS output end CNFRefutation
