# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, 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_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_zero))))))))))),file('i/f/words/INT__MIN__5', ch4s_wordss_INTu_u_MINu_u_5)).
fof(3, axiom,![X4]: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,X4)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X4))),file('i/f/words/INT__MIN__5', ah4s_arithmetics_TIMES2)).
fof(4, axiom,![X4]:![X5]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X5)))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X5))))),file('i/f/words/INT__MIN__5', ah4s_numerals_numeralu_u_distribu_c8)).
fof(5, axiom,![X6]:s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X6)))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,X6))))),file('i/f/words/INT__MIN__5', ah4s_numeralu_u_bits_iDUBu_u_NUMERAL)).
fof(6, axiom,![X1]:s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(t_h4s_fcps_bit0(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_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(X1),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__5', ah4s_fcps_indexu_u_bit0)).
fof(7, 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__5', ah4s_fcps_indexu_u_one)).
fof(8, axiom,![X4]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X4)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X4))),file('i/f/words/INT__MIN__5', ah4s_numerals_numeralu_u_sucu_c1)).
fof(9, axiom,![X4]: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,X4)))))=s(t_bool,t),file('i/f/words/INT__MIN__5', ah4s_numerals_numeralu_u_ltu_c1)).
fof(10, axiom,![X4]: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,X4)))))))=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,X4))))))),file('i/f/words/INT__MIN__5', ah4s_numerals_numeralu_u_preu_c2)).
fof(11, axiom,![X4]:s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X4)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,X4))))),file('i/f/words/INT__MIN__5', ah4s_numerals_iDUBu_u_removalu_c0)).
fof(12, axiom,![X4]:s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X4)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X4))))),file('i/f/words/INT__MIN__5', ah4s_numerals_iDUBu_u_removalu_c1)).
fof(13, axiom,![X7]:s(t_h4s_nums_num,h4s_numerals_texpu_u_help(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X7))),file('i/f/words/INT__MIN__5', ah4s_numerals_numeralu_u_texpu_u_helpu_c0)).
fof(14, axiom,![X4]:![X7]:s(t_h4s_nums_num,h4s_numerals_texpu_u_help(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_numerals_texpu_u_help(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X7))))),file('i/f/words/INT__MIN__5', ah4s_numerals_numeralu_u_texpu_u_helpu_c2)).
fof(15, axiom,![X4]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4))),file('i/f/words/INT__MIN__5', ah4s_numerals_numeralu_u_addu_c7)).
fof(16, 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__5', ah4s_numerals_numeralu_u_preu_c1)).
fof(17, axiom,![X4]:s(t_h4s_nums_num,h4s_numerals_isub(s(t_bool,t),s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,X4),file('i/f/words/INT__MIN__5', ah4s_numerals_iSUBu_u_THMu_c1)).
fof(18, 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__5', ah4s_numerals_iDUBu_u_removalu_c2)).
fof(19, axiom,![X3]:s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X3))),file('i/f/words/INT__MIN__5', ah4s_numerals_iDUB0)).
fof(20, axiom,![X1]:s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(X1),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(X1),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__5', ah4s_wordss_INTu_u_MINu_u_def)).
fof(21, axiom,![X1]:s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(t_h4s_fcps_bit1(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_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(X1),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__5', ah4s_fcps_indexu_u_bit1)).
fof(22, axiom,![X1]:s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_fcps_bit0(X1),t_bool),h4s_predu_u_sets_univ)))=s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ))),file('i/f/words/INT__MIN__5', ah4s_fcps_finiteu_u_bit0)).
fof(23, 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__5', ah4s_fcps_finiteu_u_one)).
fof(24, axiom,![X4]:![X5]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X5)))))=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,X4),s(t_h4s_nums_num,X5))))))),file('i/f/words/INT__MIN__5', ah4s_numerals_numeralu_u_distribu_c2)).
fof(25, axiom,![X4]:![X5]: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,X4))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X5)))))))=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,X4),s(t_h4s_nums_num,X5))))))),file('i/f/words/INT__MIN__5', ah4s_numerals_numeralu_u_addu_c4)).
fof(26, axiom,![X4]:![X5]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X5)))))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4))),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,X4),s(t_h4s_nums_num,X5))))),s(t_h4s_nums_num,h4s_nums_0))),file('i/f/words/INT__MIN__5', ah4s_numerals_numeralu_u_sub)).
fof(27, axiom,![X4]:![X5]: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,X4))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X5)))))=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,X4),s(t_h4s_nums_num,X5))))),file('i/f/words/INT__MIN__5', ah4s_numerals_iSUBu_u_THMu_c3)).
fof(28, axiom,![X1]:![X8]:![X9]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X9),s(X1,X8)))=s(X1,X9),file('i/f/words/INT__MIN__5', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(32, axiom,![X15]:(s(t_bool,X15)=s(t_bool,t)<=>p(s(t_bool,X15))),file('i/f/words/INT__MIN__5', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(33, axiom,![X4]:![X5]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X5)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X5))),file('i/f/words/INT__MIN__5', ah4s_numerals_numeralu_u_ltu_c3)).
fof(35, axiom,![X4]:![X7]:s(t_h4s_nums_num,h4s_numerals_texpu_u_help(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,X7)))=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,X4))))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X7))))),file('i/f/words/INT__MIN__5', ah4s_numerals_numeralu_u_texpu_u_helpu_c1)).
fof(36, axiom,![X4]: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,X4)))))))=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,X4))),s(t_h4s_nums_num,h4s_arithmetics_zero))))),file('i/f/words/INT__MIN__5', ah4s_numerals_TWOu_u_EXPu_u_THMu_c2)).
# SZS output end CNFRefutation
