# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_relations_symmetric(s(t_fun(X1,t_fun(X1,t_bool)),X2))))=>s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_inv(s(t_fun(X1,t_fun(X1,t_bool)),X2)))=s(t_fun(X1,t_fun(X1,t_bool)),X2)),file('i/f/relation/symmetric__inv__identity', ch4s_relations_symmetricu_u_invu_u_identity)).
fof(6, axiom,![X11]:![X12]:![X13]:![X14]:(![X4]:s(X12,happ(s(t_fun(X11,X12),X13),s(X11,X4)))=s(X12,happ(s(t_fun(X11,X12),X14),s(X11,X4)))=>s(t_fun(X11,X12),X13)=s(t_fun(X11,X12),X14)),file('i/f/relation/symmetric__inv__identity', aHLu_EXT)).
fof(8, axiom,![X1]:![X5]:![X4]:![X2]:s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_inv(s(t_fun(X1,t_fun(X1,t_bool)),X2))),s(X1,X4))),s(X1,X5)))=s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X5))),s(X1,X4))),file('i/f/relation/symmetric__inv__identity', ah4s_relations_invu_u_DEF)).
fof(9, axiom,![X1]:![X2]:(p(s(t_bool,h4s_relations_symmetric(s(t_fun(X1,t_fun(X1,t_bool)),X2))))<=>![X4]:![X5]:s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X4))),s(X1,X5)))=s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X5))),s(X1,X4)))),file('i/f/relation/symmetric__inv__identity', ah4s_relations_symmetricu_u_def)).
# SZS output end CNFRefutation
