# 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)),h4s_fixedpoints_fnsum(s(t_fun(X1,t_fun(X2,t_bool)),X4),s(t_fun(X1,t_fun(X2,t_bool)),X3)))=s(t_fun(X1,t_fun(X2,t_bool)),h4s_fixedpoints_fnsum(s(t_fun(X1,t_fun(X2,t_bool)),X3),s(t_fun(X1,t_fun(X2,t_bool)),X4))),file('i/f/fixedPoint/fnsum__COMM', ch4s_fixedPoints_fnsumu_u_COMM)).
fof(2, axiom,![X1]:![X2]:![X5]:![X6]:![X7]:s(t_fun(X1,t_bool),happ(s(t_fun(X2,t_fun(X1,t_bool)),h4s_fixedpoints_fnsum(s(t_fun(X2,t_fun(X1,t_bool)),X6),s(t_fun(X2,t_fun(X1,t_bool)),X5))),s(X2,X7)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),happ(s(t_fun(X2,t_fun(X1,t_bool)),X6),s(X2,X7))),s(t_fun(X1,t_bool),happ(s(t_fun(X2,t_fun(X1,t_bool)),X5),s(X2,X7))))),file('i/f/fixedPoint/fnsum__COMM', ah4s_fixedPoints_fnsumu_u_def)).
fof(3, axiom,![X1]:![X8]:![X9]:s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X9),s(t_fun(X1,t_bool),X8)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X8),s(t_fun(X1,t_bool),X9))),file('i/f/fixedPoint/fnsum__COMM', ah4s_predu_u_sets_UNIONu_u_COMM)).
fof(4, axiom,![X10]:![X11]:![X4]:![X3]:(![X12]:s(X11,happ(s(t_fun(X10,X11),X4),s(X10,X12)))=s(X11,happ(s(t_fun(X10,X11),X3),s(X10,X12)))=>s(t_fun(X10,X11),X4)=s(t_fun(X10,X11),X3)),file('i/f/fixedPoint/fnsum__COMM', aHLu_EXT)).
# SZS output end CNFRefutation
