# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(8, axiom,![X8]:![X10]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X8))))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X10))))))<=>(~(s(t_h4s_nums_num,X8)=s(t_h4s_nums_num,h4s_nums_0))|~(s(t_h4s_nums_num,X10)=s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/integer_word/INT__ZERO__LT__INT__MIN', ah4s_integers_INTu_u_LTu_u_CALCULATEu_c2)).
fof(17, axiom,![X8]:![X10]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X8)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,X8))),file('i/f/integer_word/INT__ZERO__LT__INT__MIN', ah4s_arithmetics_LESSu_u_EQ)).
fof(19, axiom,![X1]:((p(s(t_bool,X1))=>p(s(t_bool,f)))<=>s(t_bool,X1)=s(t_bool,f)),file('i/f/integer_word/INT__ZERO__LT__INT__MIN', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(31, axiom,![X7]:s(t_h4s_integers_int,h4s_integeru_u_words_intu_u_min(s(t_h4s_bools_itself(X7),h4s_bools_theu_u_value)))=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(X7),h4s_bools_theu_u_value))))))),file('i/f/integer_word/INT__ZERO__LT__INT__MIN', ah4s_integeru_u_words_INTu_u_MIN0)).
fof(34, axiom,![X7]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_wordss_intu_u_max(s(t_h4s_bools_itself(X7),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(X7),h4s_bools_theu_u_value)))))),file('i/f/integer_word/INT__ZERO__LT__INT__MIN', ah4s_wordss_BOUNDu_u_ORDERu_c0)).
fof(50, axiom,![X1]:(s(t_bool,f)=s(t_bool,X1)<=>~(p(s(t_bool,X1)))),file('i/f/integer_word/INT__ZERO__LT__INT__MIN', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(51, axiom,![X8]:![X10]:(~(s(t_h4s_nums_num,X10)=s(t_h4s_nums_num,X8))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,X8))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,X10)))))),file('i/f/integer_word/INT__ZERO__LT__INT__MIN', ah4s_arithmetics_NOTu_u_NUMu_u_EQ)).
fof(58, axiom,![X21]:![X22]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X21))),s(t_h4s_nums_num,X21)))=s(t_h4s_nums_num,X22),file('i/f/integer_word/INT__ZERO__LT__INT__MIN', ah4s_arithmetics_ADDu_u_SUB)).
fof(87, axiom,![X13]:![X8]:![X10]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,X13))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X13))))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X13)))))),file('i/f/integer_word/INT__ZERO__LT__INT__MIN', ah4s_arithmetics_SUBu_u_RIGHTu_u_LESS)).
fof(133, conjecture,![X7]:p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integeru_u_words_intu_u_min(s(t_h4s_bools_itself(X7),h4s_bools_theu_u_value))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))),file('i/f/integer_word/INT__ZERO__LT__INT__MIN', ch4s_integeru_u_words_INTu_u_ZEROu_u_LTu_u_INTu_u_MIN)).
# SZS output end CNFRefutation
