# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((?[X3]:p(s(t_bool,h4s_bools_in(s(t_h4s_realaxs_real,X3),s(t_fun(t_h4s_realaxs_real,t_bool),X2))))&![X3]:(p(s(t_bool,h4s_bools_in(s(t_h4s_realaxs_real,X3),s(t_fun(t_h4s_realaxs_real,t_bool),X2))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X3))))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,h4s_reals_inf(s(t_fun(t_h4s_realaxs_real,t_bool),X2))))))),file('i/f/util_prob/LE__INF', ch4s_utilu_u_probs_LEu_u_INF)).
fof(7, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/util_prob/LE__INF', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(29, axiom,![X1]:![X2]:((?[X3]:p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X2),s(t_h4s_realaxs_real,X3))))&![X3]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X2),s(t_h4s_realaxs_real,X3))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X3))))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,h4s_reals_inf(s(t_fun(t_h4s_realaxs_real,t_bool),X2))))))),file('i/f/util_prob/LE__INF', ah4s_reals_REALu_u_IMPu_u_LEu_u_INF)).
fof(37, axiom,![X15]:![X23]:(~(?[X3]:p(s(t_bool,happ(s(t_fun(X15,t_bool),X23),s(X15,X3)))))<=>![X3]:~(p(s(t_bool,happ(s(t_fun(X15,t_bool),X23),s(X15,X3)))))),file('i/f/util_prob/LE__INF', ah4s_bools_NOTu_u_EXISTSu_u_THM)).
fof(41, axiom,![X15]:![X25]:![X23]:(?[X3]:(p(s(t_bool,happ(s(t_fun(X15,t_bool),X23),s(X15,X3))))&p(s(t_bool,X25)))<=>(?[X3]:p(s(t_bool,happ(s(t_fun(X15,t_bool),X23),s(X15,X3))))&p(s(t_bool,X25)))),file('i/f/util_prob/LE__INF', ah4s_bools_LEFTu_u_EXISTSu_u_ANDu_u_THM)).
fof(49, axiom,![X15]:![X3]:![X23]:s(t_bool,h4s_bools_in(s(X15,X3),s(t_fun(X15,t_bool),X23)))=s(t_bool,happ(s(t_fun(X15,t_bool),X23),s(X15,X3))),file('i/f/util_prob/LE__INF', ah4s_predu_u_sets_SPECIFICATION)).
# SZS output end CNFRefutation
