# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_bool,h4s_operators_fcomm(s(t_fun(X1,t_fun(X1,X1)),X2),s(t_fun(X1,t_fun(X1,X1)),X2)))=s(t_bool,h4s_operators_assoc(s(t_fun(X1,t_fun(X1,X1)),X2))),file('i/f/operator/FCOMM__ASSOC', ch4s_operators_FCOMMu_u_ASSOC)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/operator/FCOMM__ASSOC', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/operator/FCOMM__ASSOC', aHLu_FALSITY)).
fof(4, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f0)),file('i/f/operator/FCOMM__ASSOC', aHLu_BOOLu_CASES)).
fof(9, axiom,![X1]:![X2]:(p(s(t_bool,h4s_operators_assoc(s(t_fun(X1,t_fun(X1,X1)),X2))))<=>![X7]:![X8]:![X9]:s(X1,happ(s(t_fun(X1,X1),happ(s(t_fun(X1,t_fun(X1,X1)),X2),s(X1,X7))),s(X1,happ(s(t_fun(X1,X1),happ(s(t_fun(X1,t_fun(X1,X1)),X2),s(X1,X8))),s(X1,X9)))))=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,X7))),s(X1,X8))))),s(X1,X9)))),file('i/f/operator/FCOMM__ASSOC', ah4s_operators_ASSOCu_u_DEF)).
fof(10, axiom,![X10]:![X1]:![X11]:![X6]:![X2]:(p(s(t_bool,h4s_operators_fcomm(s(t_fun(X1,t_fun(X11,X1)),X2),s(t_fun(X10,t_fun(X1,X1)),X6))))<=>![X7]:![X8]:![X9]:s(X1,happ(s(t_fun(X1,X1),happ(s(t_fun(X10,t_fun(X1,X1)),X6),s(X10,X7))),s(X1,happ(s(t_fun(X11,X1),happ(s(t_fun(X1,t_fun(X11,X1)),X2),s(X1,X8))),s(X11,X9)))))=s(X1,happ(s(t_fun(X11,X1),happ(s(t_fun(X1,t_fun(X11,X1)),X2),s(X1,happ(s(t_fun(X1,X1),happ(s(t_fun(X10,t_fun(X1,X1)),X6),s(X10,X7))),s(X1,X8))))),s(X11,X9)))),file('i/f/operator/FCOMM__ASSOC', ah4s_operators_FCOMMu_u_DEF)).
# SZS output end CNFRefutation
