# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![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)),h4s_fixedpoints_empty)))=s(t_fun(X1,t_fun(X2,t_bool)),X3),file('i/f/fixedPoint/fnsum__empty_c0', ch4s_fixedPoints_fnsumu_u_emptyu_c0)).
fof(2, axiom,![X4]:![X5]:![X3]:![X6]:(![X7]:s(X5,happ(s(t_fun(X4,X5),X3),s(X4,X7)))=s(X5,happ(s(t_fun(X4,X5),X6),s(X4,X7)))=>s(t_fun(X4,X5),X3)=s(t_fun(X4,X5),X6)),file('i/f/fixedPoint/fnsum__empty_c0', aHLu_EXT)).
fof(4, axiom,![X1]:![X2]:![X8]:![X9]:![X10]: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)),X9),s(t_fun(X2,t_fun(X1,t_bool)),X8))),s(X2,X10)))=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)),X9),s(X2,X10))),s(t_fun(X1,t_bool),happ(s(t_fun(X2,t_fun(X1,t_bool)),X8),s(X2,X10))))),file('i/f/fixedPoint/fnsum__empty_c0', ah4s_fixedPoints_fnsumu_u_def)).
fof(5, axiom,![X1]:![X2]:![X7]:s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),h4s_fixedpoints_empty),s(X1,X7)))=s(t_fun(X2,t_bool),h4s_predu_u_sets_empty),file('i/f/fixedPoint/fnsum__empty_c0', ah4s_fixedPoints_emptyu_u_def)).
fof(6, axiom,![X1]:![X11]:s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X11),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))=s(t_fun(X1,t_bool),X11),file('i/f/fixedPoint/fnsum__empty_c0', ah4s_predu_u_sets_UNIONu_u_EMPTYu_c1)).
# SZS output end CNFRefutation
