# 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))))&p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_inf(s(t_fun(t_h4s_realaxs_real,t_bool),X2))),s(t_h4s_realaxs_real,X1)))))=>?[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_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X1)))))),file('i/f/util_prob/INF__GREATER', ch4s_utilu_u_probs_INFu_u_GREATER)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/util_prob/INF__GREATER', aHLu_FALSITY)).
fof(21, axiom,![X12]:![X3]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X12))))<=>~(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X12),s(t_h4s_realaxs_real,X3)))))),file('i/f/util_prob/INF__GREATER', ah4s_reals_realu_u_lte0)).
fof(22, axiom,![X9]:![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,X9),s(t_h4s_realaxs_real,X3))))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X9),s(t_h4s_realaxs_real,h4s_reals_inf(s(t_fun(t_h4s_realaxs_real,t_bool),X2))))))),file('i/f/util_prob/INF__GREATER', ah4s_utilu_u_probs_LEu_u_INF)).
fof(28, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/util_prob/INF__GREATER', aHLu_BOOLu_CASES)).
fof(29, axiom,p(s(t_bool,t)),file('i/f/util_prob/INF__GREATER', aHLu_TRUTH)).
fof(31, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/util_prob/INF__GREATER', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
