# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:((p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X2,t_bool),X3))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_predu_u_sets_card(s(t_fun(X2,t_bool),X3))),s(t_h4s_nums_num,h4s_predu_u_sets_card(s(t_fun(X1,t_bool),X4)))))))=>~(p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X1,X2),X5),s(t_fun(X1,t_bool),X4),s(t_fun(X2,t_bool),X3)))))),file('i/f/pred_set/PHP', ch4s_predu_u_sets_PHP)).
fof(2, axiom,~(p(s(t_bool,f0))),file('i/f/pred_set/PHP', aHLu_FALSITY)).
fof(26, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:((p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X1,X2),X5),s(t_fun(X1,t_bool),X4),s(t_fun(X2,t_bool),X3))))&p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X2,t_bool),X3)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_predu_u_sets_card(s(t_fun(X1,t_bool),X4))),s(t_h4s_nums_num,h4s_predu_u_sets_card(s(t_fun(X2,t_bool),X3))))))),file('i/f/pred_set/PHP', ah4s_predu_u_sets_INJu_u_CARD)).
fof(29, axiom,![X16]:![X17]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X16)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X17))))),file('i/f/pred_set/PHP', ah4s_arithmetics_NOTu_u_LESS)).
fof(38, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t0)|s(t_bool,X3)=s(t_bool,f0)),file('i/f/pred_set/PHP', aHLu_BOOLu_CASES)).
fof(41, axiom,p(s(t_bool,t0)),file('i/f/pred_set/PHP', aHLu_TRUTH)).
fof(43, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t0)<=>p(s(t_bool,X3))),file('i/f/pred_set/PHP', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
