# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_bool,h4s_arithmetics_u_3cu_3d(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_fcps_dimindex(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value))))),file('i/f/words/dimindex__dimword__le__iso', ch4s_wordss_dimindexu_u_dimwordu_u_leu_u_iso)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/words/dimindex__dimword__le__iso', aHLu_FALSITY)).
fof(8, axiom,![X5]:![X6]:s(t_bool,h4s_primu_u_recs_u_3c(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,X6)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X6))),file('i/f/words/dimindex__dimword__le__iso', ah4s_numerals_numeralu_u_distribu_c22)).
fof(9, axiom,![X5]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/words/dimindex__dimword__le__iso', ah4s_numerals_numeralu_u_ltu_c2)).
fof(10, axiom,![X7]:(p(s(t_bool,h4s_primu_u_recs_u_3c(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,X7))))=>![X5]:![X6]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X6))),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X5)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5)))),file('i/f/words/dimindex__dimword__le__iso', ah4s_arithmetics_EXPu_u_BASEu_u_LEu_u_MONO)).
fof(11, axiom,![X1]:s(t_h4s_nums_num,h4s_wordss_dimword(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_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))),file('i/f/words/dimindex__dimword__le__iso', ah4s_wordss_dimwordu_u_def)).
fof(12, 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/words/dimindex__dimword__le__iso', ah4s_fcps_dimindexu_u_def)).
fof(13, axiom,![X5]:![X6]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X6))))))<=>~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5)))))),file('i/f/words/dimindex__dimword__le__iso', ah4s_numerals_numeralu_u_ltu_c5)).
# SZS output end CNFRefutation
