# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))))=>s(t_bool,h4s_fcps_fcpu_u_index(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_nums_num,X3)))=s(t_bool,h4s_wordss_wordu_u_bit(s(t_h4s_nums_num,X3),s(t_h4s_fcps_cart(t_bool,X1),X2)))),file('i/f/words/word__bit0', ch4s_wordss_wordu_u_bit0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/words/word__bit0', aHLu_TRUTH)).
fof(10, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/words/word__bit0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(16, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_wordss_wordu_u_bit(s(t_h4s_nums_num,X3),s(t_h4s_fcps_cart(t_bool,X1),X2))))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),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))))))))))&p(s(t_bool,h4s_fcps_fcpu_u_index(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_nums_num,X3)))))),file('i/f/words/word__bit0', ah4s_wordss_wordu_u_bitu_u_def)).
fof(19, axiom,![X15]:![X16]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X15)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X16))),file('i/f/words/word__bit0', ah4s_arithmetics_ADDu_u_SYM)).
fof(20, axiom,![X15]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X15)))),file('i/f/words/word__bit0', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(21, axiom,![X15]:![X16]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X15)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15))),s(t_h4s_nums_num,X16))))),file('i/f/words/word__bit0', ah4s_arithmetics_NOTu_u_LEQ)).
fof(22, axiom,![X15]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(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,X15))),file('i/f/words/word__bit0', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(23, axiom,![X15]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X15),file('i/f/words/word__bit0', ah4s_numerals_numeralu_u_distribu_c1)).
fof(25, axiom,![X15]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X15))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/words/word__bit0', ah4s_numerals_numeralu_u_lteu_c1)).
fof(26, axiom,~(p(s(t_bool,f))),file('i/f/words/word__bit0', aHLu_FALSITY)).
fof(29, axiom,![X15]:![X16]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X15)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X16))),s(t_h4s_nums_num,X15))),file('i/f/words/word__bit0', ah4s_arithmetics_LESSu_u_EQ)).
fof(30, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/words/word__bit0', aHLu_BOOLu_CASES)).
fof(31, axiom,![X14]:![X15]:![X16]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14))))))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X14))),s(t_h4s_nums_num,X15))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,h4s_nums_0)))))),file('i/f/words/word__bit0', ah4s_arithmetics_SUBu_u_LEFTu_u_LESSu_u_EQ)).
# SZS output end CNFRefutation
