# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(7, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/words/INT__MIN__9', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(8, axiom,![X8]:![X10]:![X11]:s(X8,h4s_bools_cond(s(t_bool,t),s(X8,X11),s(X8,X10)))=s(X8,X11),file('i/f/words/INT__MIN__9', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(9, axiom,![X12]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X12)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X12))),file('i/f/words/INT__MIN__9', ah4s_arithmetics_TIMES2)).
fof(10, axiom,![X12]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X12))),file('i/f/words/INT__MIN__9', ah4s_numerals_numeralu_u_sucu_c1)).
fof(11, axiom,![X12]:![X13]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X13)))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X13))))))),file('i/f/words/INT__MIN__9', ah4s_numerals_numeralu_u_distribu_c2)).
fof(12, axiom,![X12]:![X13]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X13)))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X13))))),file('i/f/words/INT__MIN__9', ah4s_numerals_numeralu_u_distribu_c8)).
fof(13, axiom,![X12]:![X13]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X13)))))))=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X13))))))),file('i/f/words/INT__MIN__9', ah4s_numerals_numeralu_u_addu_c4)).
fof(14, axiom,![X12]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X12))),file('i/f/words/INT__MIN__9', ah4s_numerals_numeralu_u_addu_c7)).
fof(15, axiom,![X12]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X12)))))=s(t_bool,t),file('i/f/words/INT__MIN__9', ah4s_numerals_numeralu_u_ltu_c1)).
fof(16, axiom,![X12]:![X13]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X13)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X13))),file('i/f/words/INT__MIN__9', ah4s_numerals_numeralu_u_ltu_c3)).
fof(17, axiom,s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,h4s_arithmetics_zero),file('i/f/words/INT__MIN__9', ah4s_numerals_numeralu_u_preu_c1)).
fof(18, axiom,![X12]:s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12)))))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12))))))),file('i/f/words/INT__MIN__9', ah4s_numerals_numeralu_u_preu_c2)).
fof(19, axiom,![X12]:s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X12)))))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12))))),file('i/f/words/INT__MIN__9', ah4s_numerals_numeralu_u_preu_c3)).
fof(20, axiom,![X6]:s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X6))),file('i/f/words/INT__MIN__9', ah4s_numerals_iDUB0)).
fof(21, axiom,![X12]:s(t_h4s_nums_num,h4s_numerals_isub(s(t_bool,t),s(t_h4s_nums_num,X12),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,X12),file('i/f/words/INT__MIN__9', ah4s_numerals_iSUBu_u_THMu_c1)).
fof(22, axiom,![X12]:![X13]:s(t_h4s_nums_num,h4s_numerals_isub(s(t_bool,t),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X13)))))=s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,h4s_numerals_isub(s(t_bool,t),s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X13))))),file('i/f/words/INT__MIN__9', ah4s_numerals_iSUBu_u_THMu_c3)).
fof(23, axiom,![X12]:![X13]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X13)))))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_numerals_isub(s(t_bool,t),s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X13))))),s(t_h4s_nums_num,h4s_nums_0))),file('i/f/words/INT__MIN__9', ah4s_numerals_numeralu_u_sub)).
fof(24, axiom,![X12]:s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,X12))))),file('i/f/words/INT__MIN__9', ah4s_numerals_iDUBu_u_removalu_c0)).
fof(25, axiom,![X12]:s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X12)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12))))),file('i/f/words/INT__MIN__9', ah4s_numerals_iDUBu_u_removalu_c1)).
fof(26, axiom,s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,h4s_arithmetics_zero),file('i/f/words/INT__MIN__9', ah4s_numerals_iDUBu_u_removalu_c2)).
fof(27, axiom,![X14]:s(t_h4s_nums_num,h4s_numerals_texpu_u_help(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X14))),file('i/f/words/INT__MIN__9', ah4s_numerals_numeralu_u_texpu_u_helpu_c0)).
fof(28, axiom,![X12]:![X14]:s(t_h4s_nums_num,h4s_numerals_texpu_u_help(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_numerals_texpu_u_help(s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12))))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X14))))),file('i/f/words/INT__MIN__9', ah4s_numerals_numeralu_u_texpu_u_helpu_c1)).
fof(29, axiom,![X12]:![X14]:s(t_h4s_nums_num,h4s_numerals_texpu_u_help(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_numerals_texpu_u_help(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X14))))),file('i/f/words/INT__MIN__9', ah4s_numerals_numeralu_u_texpu_u_helpu_c2)).
fof(30, axiom,![X12]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X12)))))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_numerals_texpu_u_help(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,h4s_arithmetics_zero))))),file('i/f/words/INT__MIN__9', ah4s_numerals_TWOu_u_EXPu_u_THMu_c2)).
fof(31, axiom,![X15]:s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X15)))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,X15))))),file('i/f/words/INT__MIN__9', ah4s_numeralu_u_bits_iDUBu_u_NUMERAL)).
fof(32, axiom,![X8]:s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(t_h4s_fcps_bit0(X8)),h4s_bools_theu_u_value)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X8,t_bool),h4s_predu_u_sets_univ))),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X8),h4s_bools_theu_u_value))))),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/words/INT__MIN__9', ah4s_fcps_indexu_u_bit0)).
fof(33, axiom,![X8]:s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_fcps_bit0(X8),t_bool),h4s_predu_u_sets_univ)))=s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X8,t_bool),h4s_predu_u_sets_univ))),file('i/f/words/INT__MIN__9', ah4s_fcps_finiteu_u_bit0)).
fof(34, axiom,![X8]:s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(t_h4s_fcps_bit1(X8)),h4s_bools_theu_u_value)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X8,t_bool),h4s_predu_u_sets_univ))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X8),h4s_bools_theu_u_value))))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),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/words/INT__MIN__9', ah4s_fcps_indexu_u_bit1)).
fof(35, axiom,s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(t_h4s_ones_one),h4s_bools_theu_u_value)))=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/words/INT__MIN__9', ah4s_fcps_indexu_u_one)).
fof(36, axiom,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/words/INT__MIN__9', ah4s_fcps_finiteu_u_one)).
fof(37, axiom,![X8]:s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(X8),h4s_bools_theu_u_value)))=s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X8),h4s_bools_theu_u_value))),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/words/INT__MIN__9', ah4s_wordss_INTu_u_MINu_u_def)).
fof(38, conjecture,s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(t_h4s_fcps_bit1(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_ones_one)))),h4s_bools_theu_u_value)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))))))))))),file('i/f/words/INT__MIN__9', ch4s_wordss_INTu_u_MINu_u_9)).
# SZS output end CNFRefutation
