# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(![X4]:![X5]:(s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X4)))=s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X5)))=>s(X2,X4)=s(X2,X5))=>![X6]:(~(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X2,t_bool),X6)))))=>~(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_image(s(t_fun(X2,X1),X3),s(t_fun(X2,t_bool),X6))))))))),file('i/f/pred_set/IMAGE__11__INFINITE', ch4s_predu_u_sets_IMAGEu_u_11u_u_INFINITE)).
fof(2, axiom,~(p(s(t_bool,f0))),file('i/f/pred_set/IMAGE__11__INFINITE', aHLu_FALSITY)).
fof(27, axiom,![X1]:![X2]:![X3]:(![X4]:![X5]:(s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X4)))=s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X5)))<=>s(X2,X4)=s(X2,X5))=>![X6]:s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_image(s(t_fun(X2,X1),X3),s(t_fun(X2,t_bool),X6)))))=s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X2,t_bool),X6)))),file('i/f/pred_set/IMAGE__11__INFINITE', ah4s_predu_u_sets_INJECTIVEu_u_IMAGEu_u_FINITE)).
fof(30, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)|s(t_bool,X9)=s(t_bool,f0)),file('i/f/pred_set/IMAGE__11__INFINITE', aHLu_BOOLu_CASES)).
fof(32, axiom,p(s(t_bool,t)),file('i/f/pred_set/IMAGE__11__INFINITE', aHLu_TRUTH)).
fof(34, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)<=>p(s(t_bool,X9))),file('i/f/pred_set/IMAGE__11__INFINITE', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
