# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_primu_u_recs_u_3c(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_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))),file('i/f/words/INT__MIN__LT__DIMWORD', ch4s_wordss_INTu_u_MINu_u_LTu_u_DIMWORD)).
fof(34, axiom,![X16]:![X17]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X16)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X17))),s(t_h4s_nums_num,X16))),file('i/f/words/INT__MIN__LT__DIMWORD', ah4s_arithmetics_LESSu_u_EQ)).
fof(40, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(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_intu_u_min(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))=s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),file('i/f/words/INT__MIN__LT__DIMWORD', ah4s_wordss_dimwordu_u_subu_u_intu_u_min)).
fof(41, axiom,![X1]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))),file('i/f/words/INT__MIN__LT__DIMWORD', ah4s_wordss_ZEROu_u_LTu_u_INTu_u_MIN)).
fof(43, axiom,![X16]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X16)))),file('i/f/words/INT__MIN__LT__DIMWORD', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(55, axiom,![X16]:![X17]:(~(s(t_h4s_nums_num,X17)=s(t_h4s_nums_num,X16))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X17))),s(t_h4s_nums_num,X16))))|p(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,X17)))))),file('i/f/words/INT__MIN__LT__DIMWORD', ah4s_arithmetics_NOTu_u_NUMu_u_EQ)).
fof(56, axiom,![X10]:![X16]:![X17]:(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X16)))=s(t_h4s_nums_num,X10)<=>(s(t_h4s_nums_num,X17)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X10)))|(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X16))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/words/INT__MIN__LT__DIMWORD', ah4s_arithmetics_SUBu_u_RIGHTu_u_EQ)).
fof(57, axiom,![X16]:![X17]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X16)))))<=>p(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,X17))))),file('i/f/words/INT__MIN__LT__DIMWORD', ah4s_arithmetics_NOTu_u_LEQ)).
# SZS output end CNFRefutation
