# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))))<=>(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X3))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X2)))))),file('i/f/util_prob/SUBSET__INTER', ch4s_utilu_u_probs_SUBSETu_u_INTER)).
fof(2, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/util_prob/SUBSET__INTER', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(26, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))))<=>(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X3))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X2)))))),file('i/f/util_prob/SUBSET__INTER', ah4s_predu_u_sets_SUBSETu_u_INTER)).
fof(63, axiom,![X1]:![X5]:![X6]:s(X1,h4s_bools_cond(s(t_bool,t0),s(X1,X6),s(X1,X5)))=s(X1,X6),file('i/f/util_prob/SUBSET__INTER', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(69, axiom,![X5]:![X6]:![X26]:(p(s(t_bool,h4s_bools_cond(s(t_bool,X26),s(t_bool,X6),s(t_bool,X5))))<=>((~(p(s(t_bool,X26)))|p(s(t_bool,X6)))&(p(s(t_bool,X26))|p(s(t_bool,X5))))),file('i/f/util_prob/SUBSET__INTER', ah4s_bools_CONDu_u_EXPAND)).
# SZS output end CNFRefutation
