# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_ones_one,t_bool),h4s_predu_u_sets_univ)))),file('i/f/fcp/finite__one', ch4s_fcps_finiteu_u_one)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/fcp/finite__one', aHLu_FALSITY)).
fof(18, axiom,![X9]:![X11]:(p(s(t_bool,h4s_predu_u_sets_sing(s(t_fun(X9,t_bool),X11))))<=>(s(t_h4s_nums_num,h4s_predu_u_sets_card(s(t_fun(X9,t_bool),X11)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))&p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X9,t_bool),X11)))))),file('i/f/fcp/finite__one', ah4s_predu_u_sets_SINGu_u_IFFu_u_CARD1)).
fof(19, axiom,![X9]:![X10]:p(s(t_bool,h4s_bools_in(s(X9,X10),s(t_fun(X9,t_bool),h4s_predu_u_sets_univ)))),file('i/f/fcp/finite__one', ah4s_predu_u_sets_INu_u_UNIV)).
fof(20, axiom,![X12]:![X13]:![X14]:![X15]:(![X10]:s(X13,happ(s(t_fun(X12,X13),X14),s(X12,X10)))=s(X13,happ(s(t_fun(X12,X13),X15),s(X12,X10)))=>s(t_fun(X12,X13),X14)=s(t_fun(X12,X13),X15)),file('i/f/fcp/finite__one', aHLu_EXT)).
fof(22, axiom,![X9]:![X10]:![X17]:s(t_bool,h4s_bools_in(s(X9,X10),s(t_fun(X9,t_bool),X17)))=s(t_bool,happ(s(t_fun(X9,t_bool),X17),s(X9,X10))),file('i/f/fcp/finite__one', ah4s_predu_u_sets_SPECIFICATION)).
fof(23, axiom,![X9]:![X11]:(p(s(t_bool,h4s_predu_u_sets_sing(s(t_fun(X9,t_bool),X11))))<=>?[X10]:s(t_fun(X9,t_bool),X11)=s(t_fun(X9,t_bool),h4s_predu_u_sets_insert(s(X9,X10),s(t_fun(X9,t_bool),h4s_predu_u_sets_empty)))),file('i/f/fcp/finite__one', ah4s_predu_u_sets_SINGu_u_DEF)).
fof(24, axiom,![X9]:![X18]:![X10]:(p(s(t_bool,h4s_bools_in(s(X9,X10),s(t_fun(X9,t_bool),h4s_predu_u_sets_insert(s(X9,X18),s(t_fun(X9,t_bool),h4s_predu_u_sets_empty))))))<=>s(X9,X10)=s(X9,X18)),file('i/f/fcp/finite__one', ah4s_predu_u_sets_INu_u_SING)).
fof(25, axiom,![X17]:(p(s(t_bool,happ(s(t_fun(t_h4s_ones_one,t_bool),X17),s(t_h4s_ones_one,h4s_ones_one0))))=>![X10]:p(s(t_bool,happ(s(t_fun(t_h4s_ones_one,t_bool),X17),s(t_h4s_ones_one,X10))))),file('i/f/fcp/finite__one', ah4s_ones_oneu_u_induction)).
fof(26, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/fcp/finite__one', aHLu_BOOLu_CASES)).
fof(27, axiom,p(s(t_bool,t)),file('i/f/fcp/finite__one', aHLu_TRUTH)).
fof(29, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/fcp/finite__one', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
