# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/pred_set/IMAGE__11__INFINITE', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f0))),file('i/f/pred_set/IMAGE__11__INFINITE', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f0)),file('i/f/pred_set/IMAGE__11__INFINITE', aHLu_BOOLu_CASES)).
fof(5, axiom,![X7]:![X8]:![X4]:(![X6]:![X9]:(s(X7,happ(s(t_fun(X8,X7),X4),s(X8,X6)))=s(X7,happ(s(t_fun(X8,X7),X4),s(X8,X9)))<=>s(X8,X6)=s(X8,X9))=>![X10]:s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X7,t_bool),h4s_predu_u_sets_image(s(t_fun(X8,X7),X4),s(t_fun(X8,t_bool),X10)))))=s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X8,t_bool),X10)))),file('i/f/pred_set/IMAGE__11__INFINITE', ah4s_predu_u_sets_INJECTIVEu_u_IMAGEu_u_FINITE)).
fof(55, axiom,![X1]:(s(t_bool,X1)=s(t_bool,f0)<=>~(p(s(t_bool,X1)))),file('i/f/pred_set/IMAGE__11__INFINITE', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(133, conjecture,![X7]:![X8]:![X4]:(![X6]:![X9]:(s(X7,happ(s(t_fun(X8,X7),X4),s(X8,X6)))=s(X7,happ(s(t_fun(X8,X7),X4),s(X8,X9)))=>s(X8,X6)=s(X8,X9))=>![X10]:(~(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X8,t_bool),X10)))))=>~(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X7,t_bool),h4s_predu_u_sets_image(s(t_fun(X8,X7),X4),s(t_fun(X8,t_bool),X10))))))))),file('i/f/pred_set/IMAGE__11__INFINITE', ch4s_predu_u_sets_IMAGEu_u_11u_u_INFINITE)).
# SZS output end CNFRefutation
