# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_bigunion(s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_image(s(t_fun(X2,t_fun(X1,t_bool)),X5),s(t_fun(X2,t_bool),X4))))))))<=>?[X6]:(p(s(t_bool,h4s_bools_in(s(X2,X6),s(t_fun(X2,t_bool),X4))))&p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),happ(s(t_fun(X2,t_fun(X1,t_bool)),X5),s(X2,X6)))))))),file('i/f/util_prob/IN__BIGUNION__IMAGE', ch4s_utilu_u_probs_INu_u_BIGUNIONu_u_IMAGE)).
fof(2, axiom,![X7]:![X8]:((p(s(t_bool,X8))=>p(s(t_bool,X7)))=>((p(s(t_bool,X7))=>p(s(t_bool,X8)))=>s(t_bool,X8)=s(t_bool,X7))),file('i/f/util_prob/IN__BIGUNION__IMAGE', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(25, axiom,![X2]:![X6]:![X21]:(p(s(t_bool,h4s_bools_in(s(X2,X6),s(t_fun(X2,t_bool),h4s_predu_u_sets_bigunion(s(t_fun(t_fun(X2,t_bool),t_bool),X21))))))<=>?[X4]:(p(s(t_bool,h4s_bools_in(s(X2,X6),s(t_fun(X2,t_bool),X4))))&p(s(t_bool,h4s_bools_in(s(t_fun(X2,t_bool),X4),s(t_fun(t_fun(X2,t_bool),t_bool),X21)))))),file('i/f/util_prob/IN__BIGUNION__IMAGE', ah4s_predu_u_sets_INu_u_BIGUNION)).
fof(26, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_image(s(t_fun(X2,X1),X5),s(t_fun(X2,t_bool),X4))))))<=>?[X6]:(s(X1,X3)=s(X1,happ(s(t_fun(X2,X1),X5),s(X2,X6)))&p(s(t_bool,h4s_bools_in(s(X2,X6),s(t_fun(X2,t_bool),X4)))))),file('i/f/util_prob/IN__BIGUNION__IMAGE', ah4s_predu_u_sets_INu_u_IMAGE)).
# SZS output end CNFRefutation
