# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_operators_assoc(s(t_fun(X1,t_fun(X1,X1)),X2))))<=>![X3]:![X4]:![X5]:s(X1,happ(s(t_fun(X1,X1),happ(s(t_fun(X1,t_fun(X1,X1)),X2),s(X1,happ(s(t_fun(X1,X1),happ(s(t_fun(X1,t_fun(X1,X1)),X2),s(X1,X3))),s(X1,X4))))),s(X1,X5)))=s(X1,happ(s(t_fun(X1,X1),happ(s(t_fun(X1,t_fun(X1,X1)),X2),s(X1,X3))),s(X1,happ(s(t_fun(X1,X1),happ(s(t_fun(X1,t_fun(X1,X1)),X2),s(X1,X4))),s(X1,X5)))))),file('i/f/operator/ASSOC__SYM', ch4s_operators_ASSOCu_u_SYM)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/operator/ASSOC__SYM', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/operator/ASSOC__SYM', aHLu_FALSITY)).
fof(4, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f0)),file('i/f/operator/ASSOC__SYM', aHLu_BOOLu_CASES)).
fof(7, axiom,![X1]:![X2]:(p(s(t_bool,h4s_operators_assoc(s(t_fun(X1,t_fun(X1,X1)),X2))))<=>![X3]:![X4]:![X5]:s(X1,happ(s(t_fun(X1,X1),happ(s(t_fun(X1,t_fun(X1,X1)),X2),s(X1,X3))),s(X1,happ(s(t_fun(X1,X1),happ(s(t_fun(X1,t_fun(X1,X1)),X2),s(X1,X4))),s(X1,X5)))))=s(X1,happ(s(t_fun(X1,X1),happ(s(t_fun(X1,t_fun(X1,X1)),X2),s(X1,happ(s(t_fun(X1,X1),happ(s(t_fun(X1,t_fun(X1,X1)),X2),s(X1,X3))),s(X1,X4))))),s(X1,X5)))),file('i/f/operator/ASSOC__SYM', ah4s_operators_ASSOCu_u_DEF)).
# SZS output end CNFRefutation
