# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_nums_num,t_bool),X2))))&(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_nums_num,t_bool),X1))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_fun(t_h4s_nums_num,t_bool),X1))))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_predu_u_sets_maxu_u_set(s(t_fun(t_h4s_nums_num,t_bool),X2))),s(t_h4s_nums_num,h4s_predu_u_sets_maxu_u_set(s(t_fun(t_h4s_nums_num,t_bool),X1))))))),file('i/f/pred_set/SUBSET__MAX__SET', ch4s_predu_u_sets_SUBSETu_u_MAXu_u_SET)).
fof(8, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/pred_set/SUBSET__MAX__SET', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(32, axiom,![X23]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,X23)))),file('i/f/pred_set/SUBSET__MAX__SET', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(33, axiom,![X24]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_nums_num,t_bool),X24))))=>((~(s(t_fun(t_h4s_nums_num,t_bool),X24)=s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_empty))=>(p(s(t_bool,h4s_bools_in(s(t_h4s_nums_num,h4s_predu_u_sets_maxu_u_set(s(t_fun(t_h4s_nums_num,t_bool),X24))),s(t_fun(t_h4s_nums_num,t_bool),X24))))&![X7]:(p(s(t_bool,h4s_bools_in(s(t_h4s_nums_num,X7),s(t_fun(t_h4s_nums_num,t_bool),X24))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_predu_u_sets_maxu_u_set(s(t_fun(t_h4s_nums_num,t_bool),X24)))))))))&(s(t_fun(t_h4s_nums_num,t_bool),X24)=s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_empty)=>s(t_h4s_nums_num,h4s_predu_u_sets_maxu_u_set(s(t_fun(t_h4s_nums_num,t_bool),X24)))=s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/pred_set/SUBSET__MAX__SET', ah4s_predu_u_sets_MAXu_u_SETu_u_DEF)).
fof(35, axiom,s(t_h4s_nums_num,h4s_predu_u_sets_maxu_u_set(s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_empty)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/pred_set/SUBSET__MAX__SET', ah4s_predu_u_sets_MAXu_u_SETu_u_THMu_c0)).
fof(40, axiom,![X17]:![X13]:![X24]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X17,t_bool),X24),s(t_fun(X17,t_bool),X13))))<=>![X9]:(p(s(t_bool,h4s_bools_in(s(X17,X9),s(t_fun(X17,t_bool),X24))))=>p(s(t_bool,h4s_bools_in(s(X17,X9),s(t_fun(X17,t_bool),X13)))))),file('i/f/pred_set/SUBSET__MAX__SET', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(41, axiom,![X17]:p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X17,t_bool),h4s_predu_u_sets_empty)))),file('i/f/pred_set/SUBSET__MAX__SET', ah4s_predu_u_sets_FINITEu_u_EMPTY)).
fof(42, axiom,![X22]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X22)))),file('i/f/pred_set/SUBSET__MAX__SET', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(45, axiom,![X17]:![X9]:~(p(s(t_bool,h4s_bools_in(s(X17,X9),s(t_fun(X17,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/SUBSET__MAX__SET', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
# SZS output end CNFRefutation
