# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/words/dimindex__64', aHLu_FALSITY)).
fof(5, axiom,s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(t_h4s_fcps_bit0(t_h4s_fcps_bit1(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_zero))))))))))))))),file('i/f/words/dimindex__64', ah4s_wordss_dimwordu_u_6)).
fof(6, axiom,s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(t_h4s_fcps_bit1(t_h4s_fcps_bit1(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_zero))))))))))))))),file('i/f/words/dimindex__64', ah4s_wordss_INTu_u_MINu_u_7)).
fof(7, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/words/dimindex__64', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(9, axiom,![X8]:![X9]:![X10]:s(X8,h4s_bools_cond(s(t_bool,t),s(X8,X10),s(X8,X9)))=s(X8,X10),file('i/f/words/dimindex__64', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(10, axiom,![X11]:![X12]:s(t_h4s_nums_num,h4s_numerals_texpu_u_help(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X11))),s(t_h4s_nums_num,X12)))=s(t_h4s_nums_num,h4s_numerals_texpu_u_help(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X11))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12))))),file('i/f/words/dimindex__64', ah4s_numerals_numeralu_u_texpu_u_helpu_c2)).
fof(12, 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/dimindex__64', ah4s_numerals_numeralu_u_preu_c1)).
fof(13, axiom,![X12]:s(t_h4s_nums_num,h4s_numerals_texpu_u_help(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X12)))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X12))),file('i/f/words/dimindex__64', ah4s_numerals_numeralu_u_texpu_u_helpu_c0)).
fof(14, axiom,![X11]: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,X11)))))))=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,X11))))))),file('i/f/words/dimindex__64', ah4s_numerals_numeralu_u_preu_c2)).
fof(15, axiom,![X11]:![X12]:s(t_h4s_nums_num,h4s_numerals_texpu_u_help(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X11))),s(t_h4s_nums_num,X12)))=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,X11))))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12))))),file('i/f/words/dimindex__64', ah4s_numerals_numeralu_u_texpu_u_helpu_c1)).
fof(17, axiom,s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/words/dimindex__64', ah4s_numerals_numeralu_u_sucu_c0)).
fof(32, axiom,![X8]:s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X8),h4s_bools_theu_u_value)))=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_wordss_intu_u_min(s(t_h4s_bools_itself(X8),h4s_bools_theu_u_value))))),file('i/f/words/dimindex__64', ah4s_wordss_dimwordu_u_ISu_u_TWICEu_u_INTu_u_MIN)).
fof(38, 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/dimindex__64', ah4s_numerals_iDUBu_u_removalu_c2)).
fof(39, 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/dimindex__64', ah4s_fcps_indexu_u_one)).
fof(40, axiom,![X11]:![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X11))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X14)))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X14))))),file('i/f/words/dimindex__64', ah4s_numerals_numeralu_u_distribu_c8)).
fof(41, 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/dimindex__64', ah4s_wordss_INTu_u_MINu_u_def)).
fof(42, axiom,![X11]: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,X11)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X11))),file('i/f/words/dimindex__64', ah4s_arithmetics_TIMES2)).
fof(43, axiom,![X11]:s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X11)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,X11))))),file('i/f/words/dimindex__64', ah4s_numerals_iDUBu_u_removalu_c0)).
fof(44, axiom,![X11]:s(t_h4s_nums_num,h4s_numerals_isub(s(t_bool,t),s(t_h4s_nums_num,X11),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,X11),file('i/f/words/dimindex__64', ah4s_numerals_iSUBu_u_THMu_c1)).
fof(45, axiom,![X20]:s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X20)))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,X20))))),file('i/f/words/dimindex__64', ah4s_numeralu_u_bits_iDUBu_u_NUMERAL)).
fof(46, axiom,![X11]:![X14]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X14)))))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X11))),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,X11),s(t_h4s_nums_num,X14))))),s(t_h4s_nums_num,h4s_nums_0))),file('i/f/words/dimindex__64', ah4s_numerals_numeralu_u_sub)).
fof(47, 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/dimindex__64', ah4s_numerals_iDUB0)).
fof(48, 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/dimindex__64', ah4s_fcps_finiteu_u_one)).
fof(55, axiom,s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(t_h4s_fcps_bit0(t_h4s_fcps_bit1(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_zero))))))))))))),file('i/f/words/dimindex__64', ah4s_wordss_INTu_u_MINu_u_6)).
fof(78, 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/dimindex__64', ah4s_fcps_indexu_u_bit0)).
fof(89, 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/dimindex__64', ah4s_fcps_finiteu_u_bit0)).
fof(90, axiom,![X11]:s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X11)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X11))))),file('i/f/words/dimindex__64', ah4s_numerals_iDUBu_u_removalu_c1)).
fof(93, axiom,![X11]: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_bit1(s(t_h4s_nums_num,X11)))))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(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,X11))))),s(t_h4s_nums_num,h4s_arithmetics_zero))))),file('i/f/words/dimindex__64', ah4s_numerals_TWOu_u_EXPu_u_THMu_c1)).
fof(94, axiom,![X11]:![X14]:s(t_h4s_nums_num,h4s_numerals_isub(s(t_bool,t),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X11))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X14)))))=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_numerals_isub(s(t_bool,t),s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X14))))),file('i/f/words/dimindex__64', ah4s_numerals_iSUBu_u_THMu_c8)).
fof(95, axiom,![X11]:![X14]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X11))),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X14))))))<=>~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X11)))))),file('i/f/words/dimindex__64', ah4s_numerals_numeralu_u_ltu_c5)).
fof(96, axiom,![X11]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/words/dimindex__64', ah4s_numerals_numeralu_u_ltu_c2)).
fof(133, conjecture,s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(t_h4s_fcps_bit0(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_zero))))))))))))))),file('i/f/words/dimindex__64', ch4s_wordss_dimindexu_u_64)).
# SZS output end CNFRefutation
