# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(~(s(t_h4s_integers_int,X2)=s(t_h4s_integers_int,X1))|p(s(t_bool,h4s_integers_intu_u_ge(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1))))),file('i/f/HolSmt/t007', ch4s_HolSmts_t007)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/HolSmt/t007', aHLu_TRUTH)).
fof(18, axiom,![X5]:(s(t_bool,t)=s(t_bool,X5)<=>p(s(t_bool,X5))),file('i/f/HolSmt/t007', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(20, axiom,![X5]:(s(t_bool,f)=s(t_bool,X5)<=>~(p(s(t_bool,X5)))),file('i/f/HolSmt/t007', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(30, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/HolSmt/t007', aHLu_BOOLu_CASES)).
fof(32, axiom,![X1]:![X2]:s(t_bool,h4s_integers_intu_u_ge(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1)))=s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X2))),file('i/f/HolSmt/t007', ah4s_integers_intu_u_ge0)).
fof(33, axiom,![X1]:![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X2))),file('i/f/HolSmt/t007', ah4s_integers_INTu_u_ADDu_u_COMM)).
fof(34, axiom,![X12]:![X1]:![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X12)))))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1))),s(t_h4s_integers_int,X12))),file('i/f/HolSmt/t007', ah4s_integers_INTu_u_ADDu_u_ASSOC)).
fof(36, axiom,![X1]:![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1)))))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X2))),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X1))))),file('i/f/HolSmt/t007', ah4s_integers_INTu_u_NEGu_u_ADD)).
fof(37, axiom,![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X2)))))=s(t_h4s_integers_int,X2),file('i/f/HolSmt/t007', ah4s_integers_INTu_u_NEGNEG)).
fof(38, axiom,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_nums_0)))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/HolSmt/t007', ah4s_integers_INTu_u_NEGu_u_0)).
fof(40, axiom,![X11]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,X11)))=s(t_h4s_integers_int,X11),file('i/f/HolSmt/t007', ah4s_integers_INTu_u_ADDu_u_REDUCEu_c0)).
fof(42, axiom,![X1]:![X2]:s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1)))=s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X2))))))),file('i/f/HolSmt/t007', ah4s_intu_u_ariths_leu_u_moveu_u_allu_u_right)).
fof(43, axiom,![X1]:![X2]:(s(t_h4s_integers_int,X2)=s(t_h4s_integers_int,X1)<=>s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X2)))))),file('i/f/HolSmt/t007', ah4s_intu_u_ariths_equ_u_moveu_u_allu_u_right)).
fof(45, axiom,![X14]:s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),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_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X14)))))))))))=s(t_bool,f),file('i/f/HolSmt/t007', ah4s_integers_INTu_u_LEu_u_REDUCEu_c2)).
fof(46, axiom,![X1]:![X2]:(~(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1)))))<=>p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X2))))),file('i/f/HolSmt/t007', ah4s_integers_INTu_u_NOTu_u_LE)).
fof(47, axiom,![X1]:![X2]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1)))=s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(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_integers_int,X1))),file('i/f/HolSmt/t007', ah4s_intu_u_ariths_lessu_u_tou_u_lequ_u_samer)).
# SZS output end CNFRefutation
