# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X3))))|p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X2)))))=>p(s(t_bool,h4s_predu_u_sets_finite(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))))))),file('i/f/pred_set/FINITE__INTER', ch4s_predu_u_sets_FINITEu_u_INTER)).
fof(7, axiom,![X12]:![X13]:![X14]:((p(s(t_bool,X14))<=>s(t_bool,X13)=s(t_bool,X12))<=>((p(s(t_bool,X14))|(p(s(t_bool,X13))|p(s(t_bool,X12))))&((p(s(t_bool,X14))|(~(p(s(t_bool,X12)))|~(p(s(t_bool,X13)))))&((p(s(t_bool,X13))|(~(p(s(t_bool,X12)))|~(p(s(t_bool,X14)))))&(p(s(t_bool,X12))|(~(p(s(t_bool,X13)))|~(p(s(t_bool,X14))))))))),file('i/f/pred_set/FINITE__INTER', ah4s_sats_dcu_u_eq)).
fof(14, axiom,![X1]:![X15]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X15))))=>![X4]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X15))))=>p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X4)))))),file('i/f/pred_set/FINITE__INTER', ah4s_predu_u_sets_SUBSETu_u_FINITE)).
fof(15, axiom,![X1]:![X5]:![X4]:![X15]:(p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X15),s(t_fun(X1,t_bool),X4))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X15))))&p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X4)))))),file('i/f/pred_set/FINITE__INTER', ah4s_predu_u_sets_INu_u_INTER)).
fof(16, axiom,![X1]:![X4]:![X15]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X15),s(t_fun(X1,t_bool),X4))))<=>![X5]:(p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X15))))=>p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X4)))))),file('i/f/pred_set/FINITE__INTER', ah4s_predu_u_sets_SUBSETu_u_DEF)).
# SZS output end CNFRefutation
