# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(~(p(s(t_bool,h4s_integers_intu_u_ge(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)))))))|~(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),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,h4s_arithmetics_zero)))))))))))))),file('i/f/HolSmt/t014', ch4s_HolSmts_t014)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/HolSmt/t014', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/t014', aHLu_FALSITY)).
fof(9, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)<=>p(s(t_bool,X2))),file('i/f/HolSmt/t014', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(29, axiom,![X2]:(s(t_bool,f)=s(t_bool,X2)<=>~(p(s(t_bool,X2)))),file('i/f/HolSmt/t014', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(50, 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/t014', ah4s_integers_INTu_u_NEGu_u_0)).
fof(51, axiom,![X6]: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,X6)))=s(t_h4s_integers_int,X6),file('i/f/HolSmt/t014', ah4s_integers_INTu_u_ADDu_u_REDUCEu_c0)).
fof(52, axiom,![X12]:![X1]: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,X12),s(t_h4s_integers_int,X1))),file('i/f/HolSmt/t014', ah4s_integers_INTu_u_ADDu_u_COMM)).
fof(54, axiom,![X12]:![X1]: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,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_neg(s(t_h4s_integers_int,X1))),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X12))))),file('i/f/HolSmt/t014', ah4s_integers_INTu_u_NEGu_u_ADD)).
fof(56, axiom,![X1]: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,X1)))))=s(t_h4s_integers_int,X1),file('i/f/HolSmt/t014', ah4s_integers_INTu_u_NEGNEG)).
fof(57, axiom,![X12]:![X1]:(s(t_h4s_integers_int,X1)=s(t_h4s_integers_int,X12)<=>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,X12),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X1)))))),file('i/f/HolSmt/t014', ah4s_intu_u_ariths_equ_u_moveu_u_allu_u_right)).
fof(60, axiom,![X12]:![X1]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X12)))=s(t_bool,h4s_integers_intu_u_le(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_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,X12))),file('i/f/HolSmt/t014', ah4s_intu_u_ariths_lessu_u_tou_u_lequ_u_samer)).
fof(61, axiom,![X12]:![X1]:s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X12)))=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,X12),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X1))))))),file('i/f/HolSmt/t014', ah4s_intu_u_ariths_leu_u_moveu_u_allu_u_right)).
fof(62, axiom,![X12]:![X1]:(~(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X12)))))<=>p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X12),s(t_h4s_integers_int,X1))))),file('i/f/HolSmt/t014', ah4s_integers_INTu_u_NOTu_u_LE)).
fof(64, axiom,![X12]:![X1]:s(t_bool,h4s_integers_intu_u_ge(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X12)))=s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X12),s(t_h4s_integers_int,X1))),file('i/f/HolSmt/t014', ah4s_integers_intu_u_ge0)).
fof(75, axiom,![X12]:![X1]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X12))))<=>~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X12),s(t_h4s_integers_int,X1)))))),file('i/f/HolSmt/t014', ah4s_integers_intu_u_le0)).
fof(76, axiom,![X15]:![X12]:![X1]:s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X15))),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X12),s(t_h4s_integers_int,X15)))))=s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X12))),file('i/f/HolSmt/t014', ah4s_integers_INTu_u_LEu_u_RADD)).
# SZS output end CNFRefutation
