# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ))))=>s(t_h4s_nums_num,h4s_predu_u_sets_card(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))=s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))),file('i/f/fcp/card__dimindex', ch4s_fcps_cardu_u_dimindex)).
fof(15, axiom,![X11]:![X12]:((p(s(t_bool,X12))=>p(s(t_bool,X11)))=>((p(s(t_bool,X11))=>p(s(t_bool,X12)))=>s(t_bool,X12)=s(t_bool,X11))),file('i/f/fcp/card__dimindex', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(30, axiom,![X1]:s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ))),s(t_h4s_nums_num,h4s_predu_u_sets_card(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/fcp/card__dimindex', ah4s_fcps_dimindexu_u_def)).
fof(36, axiom,![X1]:![X10]:p(s(t_bool,h4s_bools_in(s(X1,X10),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))),file('i/f/fcp/card__dimindex', ah4s_predu_u_sets_INu_u_UNIV)).
fof(42, axiom,![X1]:![X11]:![X12]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X12),s(X1,X11)))=s(X1,X12),file('i/f/fcp/card__dimindex', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(44, axiom,![X11]:![X12]:![X21]:(p(s(t_bool,h4s_bools_cond(s(t_bool,X21),s(t_bool,X12),s(t_bool,X11))))<=>((~(p(s(t_bool,X21)))|p(s(t_bool,X12)))&(p(s(t_bool,X21))|p(s(t_bool,X11))))),file('i/f/fcp/card__dimindex', ah4s_bools_CONDu_u_EXPAND)).
# SZS output end CNFRefutation
