# 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(2, axiom,p(s(t_bool,t)),file('i/f/relation/EqIsBothRSUBSET', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/relation/EqIsBothRSUBSET', aHLu_FALSITY)).
fof(4, axiom,![X1]:![X5]:(p(s(t_bool,h4s_relations_weakorder(s(t_fun(X1,t_fun(X1,t_bool)),X5))))=>![X4]:![X3]:(s(X1,X4)=s(X1,X3)<=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(X1,X4))),s(X1,X3))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(X1,X3))),s(X1,X4))))))),file('i/f/relation/EqIsBothRSUBSET', ah4s_relations_WeakOrderu_u_EQ)).
fof(5, axiom,![X1]:![X2]:p(s(t_bool,h4s_relations_weakorder(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_WeakOrder)).
fof(6, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/relation/EqIsBothRSUBSET', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
