# 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_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_mul(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))))))))),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/t009', ch4s_HolSmts_t009)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/HolSmt/t009', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/t009', aHLu_FALSITY)).
fof(18, axiom,![X5]:(s(t_bool,t)=s(t_bool,X5)<=>p(s(t_bool,X5))),file('i/f/HolSmt/t009', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(26, axiom,![X9]:![X10]:![X11]:((p(s(t_bool,X11))<=>s(t_bool,X10)=s(t_bool,X9))<=>((p(s(t_bool,X11))|(p(s(t_bool,X10))|p(s(t_bool,X9))))&((p(s(t_bool,X11))|(~(p(s(t_bool,X9)))|~(p(s(t_bool,X10)))))&((p(s(t_bool,X10))|(~(p(s(t_bool,X9)))|~(p(s(t_bool,X11)))))&(p(s(t_bool,X9))|(~(p(s(t_bool,X10)))|~(p(s(t_bool,X11))))))))),file('i/f/HolSmt/t009', ah4s_sats_dcu_u_eq)).
fof(30, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/HolSmt/t009', aHLu_BOOLu_CASES)).
fof(34, 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/t009', ah4s_integers_INTu_u_NOTu_u_LE)).
fof(35, axiom,![X13]: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,X13)))))))))))=s(t_bool,f),file('i/f/HolSmt/t009', ah4s_integers_INTu_u_LEu_u_REDUCEu_c2)).
fof(36, 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/t009', ah4s_intu_u_ariths_lessu_u_tou_u_lequ_u_samer)).
fof(37, 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/t009', ah4s_intu_u_ariths_leu_u_moveu_u_allu_u_right)).
fof(40, axiom,![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(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,X2)))=s(t_h4s_integers_int,X2),file('i/f/HolSmt/t009', ah4s_integers_INTu_u_MULu_u_LID)).
fof(41, 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/t009', ah4s_integers_INTu_u_NEGu_u_0)).
fof(42, 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/t009', ah4s_integers_INTu_u_ADDu_u_REDUCEu_c0)).
fof(44, 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/t009', ah4s_intu_u_ariths_equ_u_moveu_u_allu_u_right)).
fof(46, axiom,![X1]:![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1)))))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X2))),s(t_h4s_integers_int,X1))),file('i/f/HolSmt/t009', ah4s_integers_INTu_u_NEGu_u_LMUL)).
# SZS output end CNFRefutation
