# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(~(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)))))))))))))|p(s(t_bool,h4s_integers_intu_u_le(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))))))),file('i/f/HolSmt/t012', ch4s_HolSmts_t012)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/HolSmt/t012', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/t012', aHLu_FALSITY)).
fof(18, axiom,![X4]:(s(t_bool,t)=s(t_bool,X4)<=>p(s(t_bool,X4))),file('i/f/HolSmt/t012', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(20, axiom,![X4]:(s(t_bool,f)=s(t_bool,X4)<=>~(p(s(t_bool,X4)))),file('i/f/HolSmt/t012', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(30, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/HolSmt/t012', aHLu_BOOLu_CASES)).
fof(32, axiom,![X11]:![X1]:(~(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X11)))))<=>p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,X1))))),file('i/f/HolSmt/t012', ah4s_integers_INTu_u_NOTu_u_LE)).
fof(33, axiom,![X11]:![X1]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X11)))=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,X11))),file('i/f/HolSmt/t012', ah4s_intu_u_ariths_lessu_u_tou_u_lequ_u_samer)).
fof(34, axiom,![X11]:![X1]:s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X11)))=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,X11),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X1))))))),file('i/f/HolSmt/t012', ah4s_intu_u_ariths_leu_u_moveu_u_allu_u_right)).
fof(35, axiom,![X11]:![X1]:![X12]:(p(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,X1))))))=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,h4s_integers_intu_u_neg(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,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X12))),s(t_h4s_integers_int,X11)))))=s(t_bool,f))),file('i/f/HolSmt/t012', ah4s_intu_u_ariths_leu_u_contextu_u_rwt2)).
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/t012', ah4s_integers_INTu_u_NEGu_u_0)).
fof(39, axiom,![X10]: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,X10)))=s(t_h4s_integers_int,X10),file('i/f/HolSmt/t012', ah4s_integers_INTu_u_ADDu_u_REDUCEu_c0)).
fof(41, axiom,![X13]:![X14]: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,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X13))))))))),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,X14)))))))=s(t_bool,t),file('i/f/HolSmt/t012', ah4s_integers_INTu_u_LTu_u_REDUCEu_c8)).
fof(42, axiom,![X11]:![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X11)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,X1))),file('i/f/HolSmt/t012', ah4s_integers_INTu_u_ADDu_u_COMM)).
fof(44, axiom,![X11]:![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,X11)))))=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,X11))))),file('i/f/HolSmt/t012', ah4s_integers_INTu_u_NEGu_u_ADD)).
fof(45, 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/t012', ah4s_integers_INTu_u_NEGNEG)).
# SZS output end CNFRefutation
